[{"file":[{"creator":"dernst","file_name":"2024_JourLondonMathSoc_Schiavo.pdf","file_id":"18497","date_updated":"2024-11-04T08:54:26Z","success":1,"access_level":"open_access","content_type":"application/pdf","date_created":"2024-11-04T08:54:26Z","checksum":"143816823b5f43bd3748da8e3e91cef5","file_size":911476,"relation":"main_file"}],"date_updated":"2026-10-02T12:17:50Z","isi":1,"oa":1,"das_tickbox":"0","file_date_updated":"2024-11-04T08:54:26Z","intvolume":"       110","publication":"Journal of the London Mathematical Society","oa_version":"Published Version","month":"11","ec_funded":1,"_id":"18490","department":[{"_id":"JaMa"}],"article_type":"original","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_created":"2024-11-03T23:01:44Z","title":"Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension","abstract":[{"lang":"eng","text":"For large classes of even-dimensional Riemannian manifolds (Formula presented.), we construct and analyze conformally invariant random fields. These centered Gaussian fields (Formula presented.), called co-polyharmonic Gaussian fields, are characterized by their covariance kernels k which exhibit a precise logarithmic divergence: (Formula presented.). They share a fundamental quasi-invariance property under conformal transformations. In terms of the co-polyharmonic Gaussian field (Formula presented.), we define the Liouville Quantum Gravity measure, a random measure on (Formula presented.), heuristically given as (Formula presented.) and rigorously obtained as almost sure weak limit of the right-hand side with (Formula presented.) replaced by suitable regular approximations (Formula presented.). In terms on the Liouville Quantum Gravity measure, we define the Liouville Brownian motion on (Formula presented.) and the random GJMS operators. Finally, we present an approach to a conformal field theory in arbitrary even dimension with an ansatz based on Branson's (Formula presented.) -curvature: we give a rigorous meaning to the Polyakov–Liouville measure (Formula presented.) and we derive the corresponding conformal anomaly. The set of admissible manifolds is conformally invariant. It includes all compact 2-dimensional Riemannian manifolds, all compact non-negatively curved Einstein manifolds of even dimension, and large classes of compact hyperbolic manifolds of even dimension. However, not every compact even-dimensional Riemannian manifold is admissible. Our results concerning the logarithmic divergence of the kernel (Formula presented.) rely on new sharp estimates for heat kernels and higher order Green kernels on arbitrary closed manifolds. "}],"acknowledgement":"The authors are grateful to Masha Gordina for helpful references, and to Nathanaël Berestycki, Baptiste Cerclé, and Ewain Gwynne for valuable comments on the first circulated version of this paper. They also would like to thank Sebastian Andres, Peter Friz, and Yizheng Yuan for pointing out an erroneous formulation in the previous version of Theorem 5.7. Moreover, KTS would liketo express his thanks to Sebastian Andres, Matthias Erbar, Martin Huesmann, and Jan Mass for stimulating discussions on previous attempts to this project. LDS gratefully acknowledges financial support from the European Research Council (grant agreement No 716117, awarded to J. Maas), from the Austrian Science Fund (FWF) project 10.55776/ESP208, and from the Austrian Science Fund (FWF) project 10.55776/F65.RH, EK, and KTS gratefully acknowledge funding by the Deutsche Forschungsgemeinschaft through the project “Random Riemannian Geometry” within the SPP 2265 “Random Geomet-ric Systems,” through the Hausdorff Center for Mathematics (project ID 390685813), and through project B03 within the CRC 1060 (project ID 211504053). RH and KTS also gratefully acknowledge financial support from the European Research Council through the ERC AdG “RicciBounds”(grant agreement 694405).Data sharing not applicable to this article as no datasets were generated or analyzed during the current study. Open access funding enabled and organized by Projekt DEAL.","issue":"5","status":"public","publisher":"London Mathematical Society","project":[{"name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"Configuration Spaces over Non-Smooth Spaces","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","grant_number":"E208"},{"name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504"}],"quality_controlled":"1","OA_type":"hybrid","doi":"10.1112/jlms.70003","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":110,"year":"2024","researchdata_availability":"not applicable","publication_status":"published","citation":{"ama":"Dello Schiavo L, Herry R, Kopfer E, Sturm KT. Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension. <i>Journal of the London Mathematical Society</i>. 2024;110(5). doi:<a href=\"https://doi.org/10.1112/jlms.70003\">10.1112/jlms.70003</a>","mla":"Dello Schiavo, Lorenzo, et al. “Conformally Invariant Random Fields, Liouville Quantum Gravity Measures, and Random Paneitz Operators on Riemannian Manifolds of Even Dimension.” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 5, e70003, London Mathematical Society, 2024, doi:<a href=\"https://doi.org/10.1112/jlms.70003\">10.1112/jlms.70003</a>.","ista":"Dello Schiavo L, Herry R, Kopfer E, Sturm KT. 2024. Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension. Journal of the London Mathematical Society. 110(5), e70003.","short":"L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Journal of the London Mathematical Society 110 (2024).","ieee":"L. Dello Schiavo, R. Herry, E. Kopfer, and K. T. Sturm, “Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension,” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 5. London Mathematical Society, 2024.","chicago":"Dello Schiavo, Lorenzo, Ronan Herry, Eva Kopfer, and Karl Theodor Sturm. “Conformally Invariant Random Fields, Liouville Quantum Gravity Measures, and Random Paneitz Operators on Riemannian Manifolds of Even Dimension.” <i>Journal of the London Mathematical Society</i>. London Mathematical Society, 2024. <a href=\"https://doi.org/10.1112/jlms.70003\">https://doi.org/10.1112/jlms.70003</a>.","apa":"Dello Schiavo, L., Herry, R., Kopfer, E., &#38; Sturm, K. T. (2024). Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension. <i>Journal of the London Mathematical Society</i>. London Mathematical Society. <a href=\"https://doi.org/10.1112/jlms.70003\">https://doi.org/10.1112/jlms.70003</a>"},"OA_place":"publisher","language":[{"iso":"eng"}],"external_id":{"isi":["001351918100029"]},"date_published":"2024-11-01T00:00:00Z","ddc":["510"],"fulldoi":"https://doi.org/10.1112/jlms.70003","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","type":"journal_article","day":"01","author":[{"full_name":"Dello Schiavo, Lorenzo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","first_name":"Lorenzo","last_name":"Dello Schiavo","orcid":"0000-0002-9881-6870"},{"full_name":"Herry, Ronan","first_name":"Ronan","last_name":"Herry"},{"first_name":"Eva","full_name":"Kopfer, Eva","last_name":"Kopfer"},{"last_name":"Sturm","first_name":"Karl Theodor","full_name":"Sturm, Karl Theodor"}],"scopus_import":"1","publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"supplementarymaterial":"no","article_number":"e70003"},{"has_accepted_license":"1","fulldoi":"https://doi.org/10.1007/s00220-024-04981-0","ddc":["510"],"language":[{"iso":"eng"}],"date_published":"2024-04-09T00:00:00Z","pmid":1,"external_id":{"pmid":["38606337"],"arxiv":["2209.07279"],"isi":["001199509500004"]},"arxiv":1,"publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"scopus_import":"1","author":[{"full_name":"Rouzé, Cambyse","first_name":"Cambyse","last_name":"Rouzé"},{"last_name":"Wirth","orcid":"0000-0002-0519-4241","full_name":"Wirth, Melchior","first_name":"Melchior","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E"},{"last_name":"Zhang","orcid":"0000-0001-9537-9663","full_name":"Zhang, Haonan","first_name":"Haonan","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425"}],"article_number":"95","corr_author":"1","supplementarymaterial":"no","type":"journal_article","article_processing_charge":"Yes (via OA deal)","day":"09","_id":"15350","month":"04","dataavailabilitystatement":"No data was generated as part of this work.","date_created":"2024-04-29T08:47:28Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_type":"original","department":[{"_id":"JaMa"}],"das_tickbox":"1","oa":1,"date_updated":"2026-10-02T12:16:36Z","file":[{"date_updated":"2024-05-06T06:18:45Z","file_id":"15365","success":1,"file_name":"2024_CommMathPhysics_Rouze.pdf","creator":"dernst","relation":"main_file","file_size":653676,"checksum":"8ecd168755f0d40ebd7cd0b71063acfc","content_type":"application/pdf","date_created":"2024-05-06T06:18:45Z","access_level":"open_access"}],"isi":1,"publication":"Communications in Mathematical Physics","oa_version":"Published Version","intvolume":"       405","file_date_updated":"2024-05-06T06:18:45Z","doi":"10.1007/s00220-024-04981-0","citation":{"ista":"Rouzé C, Wirth M, Zhang H. 2024. Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions. Communications in Mathematical Physics. 405(4), 95.","mla":"Rouzé, Cambyse, et al. “Quantum Talagrand, KKL and Friedgut’s Theorems and the Learnability of Quantum Boolean Functions.” <i>Communications in Mathematical Physics</i>, vol. 405, no. 4, 95, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s00220-024-04981-0\">10.1007/s00220-024-04981-0</a>.","ama":"Rouzé C, Wirth M, Zhang H. Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions. <i>Communications in Mathematical Physics</i>. 2024;405(4). doi:<a href=\"https://doi.org/10.1007/s00220-024-04981-0\">10.1007/s00220-024-04981-0</a>","apa":"Rouzé, C., Wirth, M., &#38; Zhang, H. (2024). Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-024-04981-0\">https://doi.org/10.1007/s00220-024-04981-0</a>","chicago":"Rouzé, Cambyse, Melchior Wirth, and Haonan Zhang. “Quantum Talagrand, KKL and Friedgut’s Theorems and the Learnability of Quantum Boolean Functions.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00220-024-04981-0\">https://doi.org/10.1007/s00220-024-04981-0</a>.","ieee":"C. Rouzé, M. Wirth, and H. Zhang, “Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions,” <i>Communications in Mathematical Physics</i>, vol. 405, no. 4. Springer Nature, 2024.","short":"C. Rouzé, M. Wirth, H. Zhang, Communications in Mathematical Physics 405 (2024)."},"publication_status":"published","year":"2024","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"researchdata_availability":"not applicable","volume":405,"acknowledgement":"Open access funding provided by the Carolinas Consortium.\r\nH.Z. is supported by the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337. H.Z. would like to thank the American Institute of Mathematics and the AIM workshop Analysis on the hypercube with applications to quantum computing. He is also grateful to the organizers and other participants for creating an active atmosphere. The research of C.R. has been supported by ANR project QTraj (ANR-20-CE40-0024-01) of the French National Research Agency (ANR). C.R. acknowledges the support of the Munich Center for Quantum Sciences and Technology, as well as the Humboldt Foundation. C.R. would like to thank Amanda Young for fruitful discussion on the applications of Friedgut’s Junta theorem to learning quantum dynamics. The research of M.W. was funded by the Austrian Science Fund (FWF) under the Esprit Programme [ESP 156]. For the purpose of Open Access, the authors have applied a CC BY public copyright licence to any Author Accepted Manuscript (AAM) version arising from this submission. The authors want to thank Francisco Escudero Gutierrez and Hsin-Yuan Huang for helpful comments on an earlier version of the paper. They are grateful to the referees for the careful reading and helpful comments.","abstract":[{"lang":"eng","text":"We extend three related results from the analysis of influences of Boolean functions to the quantum setting, namely the KKL theorem, Friedgut’s Junta theorem and Talagrand’s variance inequality for geometric influences. Our results are derived by a joint use of recently studied hypercontractivity and gradient estimates. These generic tools also allow us to derive generalizations of these results in a general von Neumann algebraic setting beyond the case of the quantum hypercube, including examples in infinite dimensions relevant to quantum information theory such as continuous variables quantum systems. Finally, we comment on the implications of our results as regards to noncommutative extensions of isoperimetric type inequalities, quantum circuit complexity lower bounds and the learnability of quantum observables."}],"title":"Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions","quality_controlled":"1","project":[{"name":"Curvature-dimension in noncommutative analysis","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6","grant_number":"M03337"},{"name":"Gradient flow techniques for quantum Markov semigroups","_id":"34c6ea2d-11ca-11ed-8bc3-c04f3c502833","grant_number":"ESP156_N"}],"publisher":"Springer Nature","issue":"4","status":"public"},{"day":"01","article_processing_charge":"Yes","type":"journal_article","supplementarymaterial":"no","page":"957-1010","corr_author":"1","author":[{"id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","first_name":"Lorenzo","full_name":"Dello Schiavo, Lorenzo","orcid":"0000-0002-9881-6870","last_name":"Dello Schiavo"},{"last_name":"Herry","first_name":"Ronan","full_name":"Herry, Ronan"},{"first_name":"Kohei","full_name":"Suzuki, Kohei","last_name":"Suzuki"}],"scopus_import":"1","publication_identifier":{"eissn":["2270-518X"],"issn":["2429-7100"]},"arxiv":1,"external_id":{"arxiv":["2303.00398"],"isi":["001367254000003"]},"date_published":"2024-01-01T00:00:00Z","language":[{"iso":"eng"}],"fulldoi":"https://doi.org/10.5802/jep.270","ddc":["510"],"has_accepted_license":"1","publisher":"Ecole Polytechnique","status":"public","quality_controlled":"1","abstract":[{"text":"We study the geometry of Poisson point processes from the point of view of optimal transport and Ricci lower bounds. We construct a Riemannian structure on the space of point processes and the associated distance W that corresponds to the Benamou–Brenier variational formula. Our main tool is a non-local continuity equation formulated with the difference operator. The closure of the domain of the relative entropy is a complete geodesic space, when endowed with \r\nW. The geometry of this non-local infinite-dimensional space is analogous to that of spaces with positive Ricci curvature. Among others: (a) the Ornstein–Uhlenbeck semi-group is the gradient flow of the relative entropy; (b) the Poisson space has an entropic Ricci curvature bounded from below by 1; (c) W satisfies an HWI inequality.","lang":"eng"},{"text":"Nous étudions la géométrie des processus ponctuels de Poisson à travers le prisme du transport optimal et de la minoration de la courbure de Ricci. Nous construisons une structure\r\nriemannienne sur l’espace des processus ponctuels et la distance associée W qui concorde avec la formulation variationnelle de Benamou–Brenier. Notre analyse repose sur une équation de continuité non locale définie à l’aide de l’opérateur de différence. La fermeture du domaine de l’entropie relative, équipé de W, est un espace géodésique complet. La géométrie de cet espace non local et de dimension infinie est analogue à celle des espaces à courbure de Ricci strictement positive. Entre autres : (a) le semi-groupe d’Ornstein–Uhlenbeck est le flot du gradient de l’entropie relative ; (b) l’espace de Poisson a une courbure de Ricci entropique minorée par 1 ; (c) W satisfait une inégalité HWI.","lang":"fre"}],"title":"Wasserstein geometry and Ricci curvature bounds for Poisson spaces","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":11,"year":"2024","researchdata_availability":"no","publication_status":"published","citation":{"ista":"Dello Schiavo L, Herry R, Suzuki K. 2024. Wasserstein geometry and Ricci curvature bounds for Poisson spaces. Journal de l’Ecole Polytechnique - Mathematiques. 11, 957–1010.","mla":"Dello Schiavo, Lorenzo, et al. “Wasserstein Geometry and Ricci Curvature Bounds for Poisson Spaces.” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>, vol. 11, Ecole Polytechnique, 2024, pp. 957–1010, doi:<a href=\"https://doi.org/10.5802/jep.270\">10.5802/jep.270</a>.","ama":"Dello Schiavo L, Herry R, Suzuki K. Wasserstein geometry and Ricci curvature bounds for Poisson spaces. <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. 2024;11:957-1010. doi:<a href=\"https://doi.org/10.5802/jep.270\">10.5802/jep.270</a>","apa":"Dello Schiavo, L., Herry, R., &#38; Suzuki, K. (2024). Wasserstein geometry and Ricci curvature bounds for Poisson spaces. <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. Ecole Polytechnique. <a href=\"https://doi.org/10.5802/jep.270\">https://doi.org/10.5802/jep.270</a>","chicago":"Dello Schiavo, Lorenzo, Ronan Herry, and Kohei Suzuki. “Wasserstein Geometry and Ricci Curvature Bounds for Poisson Spaces.” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>. Ecole Polytechnique, 2024. <a href=\"https://doi.org/10.5802/jep.270\">https://doi.org/10.5802/jep.270</a>.","ieee":"L. Dello Schiavo, R. Herry, and K. Suzuki, “Wasserstein geometry and Ricci curvature bounds for Poisson spaces,” <i>Journal de l’Ecole Polytechnique - Mathematiques</i>, vol. 11. Ecole Polytechnique, pp. 957–1010, 2024.","short":"L. Dello Schiavo, R. Herry, K. Suzuki, Journal de l’Ecole Polytechnique - Mathematiques 11 (2024) 957–1010."},"doi":"10.5802/jep.270","intvolume":"        11","file_date_updated":"2024-10-01T07:31:56Z","publication":"Journal de l'Ecole Polytechnique - Mathematiques","oa_version":"Published Version","oa":1,"isi":1,"date_updated":"2026-10-02T12:17:19Z","file":[{"file_id":"18164","date_updated":"2024-10-01T07:31:56Z","success":1,"file_name":"2024_JourEcolePolytechniqueMath_DelloSchiavo.pdf","creator":"dernst","file_size":1250553,"checksum":"5a51da5fb5f7fcaada378d43444cced8","relation":"main_file","access_level":"open_access","content_type":"application/pdf","date_created":"2024-10-01T07:31:56Z"}],"das_tickbox":"0","article_type":"original","department":[{"_id":"JaMa"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_created":"2024-09-29T22:01:38Z","month":"01","_id":"18158"},{"month":"10","_id":"14934","department":[{"_id":"JaMa"}],"article_type":"original","date_created":"2024-02-04T23:00:54Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","file":[{"relation":"main_file","file_size":1294993,"checksum":"33c688bdf296c3d8f8bbd96c7dd26037","content_type":"application/pdf","date_created":"2025-01-09T08:13:34Z","access_level":"open_access","file_id":"18789","date_updated":"2025-01-09T08:13:34Z","success":1,"file_name":"2024_PotentialAnalysis_DelloSchiavo.pdf","creator":"dernst"}],"isi":1,"date_updated":"2026-10-02T12:18:13Z","oa":1,"das_tickbox":"0","file_date_updated":"2025-01-09T08:13:34Z","intvolume":"        61","publication":"Potential Analysis","oa_version":"Published Version","OA_type":"hybrid","doi":"10.1007/s11118-023-10118-0","researchdata_availability":"no","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"year":"2024","volume":61,"publication_status":"published","citation":{"ama":"Dello Schiavo L, Kopfer E, Sturm KT. A discovery tour in random Riemannian geometry. <i>Potential Analysis</i>. 2024;61:501-553. doi:<a href=\"https://doi.org/10.1007/s11118-023-10118-0\">10.1007/s11118-023-10118-0</a>","mla":"Dello Schiavo, Lorenzo, et al. “A Discovery Tour in Random Riemannian Geometry.” <i>Potential Analysis</i>, vol. 61, Springer Nature, 2024, pp. 501–53, doi:<a href=\"https://doi.org/10.1007/s11118-023-10118-0\">10.1007/s11118-023-10118-0</a>.","ista":"Dello Schiavo L, Kopfer E, Sturm KT. 2024. A discovery tour in random Riemannian geometry. Potential Analysis. 61, 501–553.","short":"L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis 61 (2024) 501–553.","ieee":"L. Dello Schiavo, E. Kopfer, and K. T. Sturm, “A discovery tour in random Riemannian geometry,” <i>Potential Analysis</i>, vol. 61. Springer Nature, pp. 501–553, 2024.","chicago":"Dello Schiavo, Lorenzo, Eva Kopfer, and Karl Theodor Sturm. “A Discovery Tour in Random Riemannian Geometry.” <i>Potential Analysis</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s11118-023-10118-0\">https://doi.org/10.1007/s11118-023-10118-0</a>.","apa":"Dello Schiavo, L., Kopfer, E., &#38; Sturm, K. T. (2024). A discovery tour in random Riemannian geometry. <i>Potential Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11118-023-10118-0\">https://doi.org/10.1007/s11118-023-10118-0</a>"},"OA_place":"publisher","abstract":[{"lang":"eng","text":"We study random perturbations of a Riemannian manifold (M, g) by means of so-called\r\nFractional Gaussian Fields, which are defined intrinsically by the given manifold. The fields\r\nh• : ω \u0002→ hω will act on the manifold via the conformal transformation g \u0002→ gω := e2hω g.\r\nOur focus will be on the regular case with Hurst parameter H > 0, the critical case H = 0\r\nbeing the celebrated Liouville geometry in two dimensions. We want to understand how basic\r\ngeometric and functional-analytic quantities like diameter, volume, heat kernel, Brownian\r\nmotion, spectral bound, or spectral gap change under the influence of the noise. And if so, is\r\nit possible to quantify these dependencies in terms of key parameters of the noise? Another\r\ngoal is to define and analyze in detail the Fractional Gaussian Fields on a general Riemannian\r\nmanifold, a fascinating object of independent interest."}],"title":"A discovery tour in random Riemannian geometry","acknowledgement":"The authors would like to thank Matthias Erbar and Ronan Herry for valuable discussions on this project. They are also grateful to Nathanaël Berestycki, and Fabrice Baudoin for respectively pointing out the references [7], and [6, 24], and to Julien Fageot and Thomas Letendre for pointing out a mistake in a previous version of the proof of Proposition 3.10. The authors feel very much indebted to an anonymous reviewer for his/her careful reading and the many valuable suggestions that have significantly contributed to the improvement of the paper. L.D.S. gratefully acknowledges financial support by the Deutsche Forschungsgemeinschaft through CRC 1060 as well as through SPP 2265, and by the Austrian Science Fund (FWF) grant F65 at Institute of Science and Technology Austria. This research was funded in whole or in part by the Austrian Science Fund (FWF) ESPRIT 208. For the purpose of open access, the authors have applied a CC BY public copyright licence to any Author Accepted Manuscript version arising from this submission. E.K. and K.-T.S. gratefully acknowledge funding by the Deutsche Forschungsgemeinschaft through the Hausdorff Center for Mathematics and through CRC 1060 as well as through SPP 2265.\r\nOpen Access funding enabled and organized by Projekt DEAL.","status":"public","project":[{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"}],"publisher":"Springer Nature","quality_controlled":"1","ddc":["510"],"fulldoi":"https://doi.org/10.1007/s11118-023-10118-0","has_accepted_license":"1","language":[{"iso":"eng"}],"arxiv":1,"date_published":"2024-10-01T00:00:00Z","external_id":{"arxiv":["2012.06796"],"isi":["001151118800001"]},"author":[{"last_name":"Dello Schiavo","orcid":"0000-0002-9881-6870","full_name":"Dello Schiavo, Lorenzo","first_name":"Lorenzo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E"},{"last_name":"Kopfer","full_name":"Kopfer, Eva","first_name":"Eva"},{"full_name":"Sturm, Karl Theodor","first_name":"Karl Theodor","last_name":"Sturm"}],"publication_identifier":{"issn":["0926-2601"],"eissn":["1572-929X"]},"scopus_import":"1","supplementarymaterial":"no","page":"501-553","article_processing_charge":"Yes (via OA deal)","type":"journal_article","day":"01"},{"project":[{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"},{"name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020","grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425"},{"name":"Reaching consensus in heterogeneous random opinion dynamics","_id":"3490b268-11ca-11ed-8bc3-e0ad03f48839","grant_number":"M03211"},{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","grant_number":"E208","name":"Configuration Spaces over Non-Smooth Spaces"},{"name":"Dissipation and dispersion in nonlinear partial differential equations","call_identifier":"FWF","grant_number":"W1245","_id":"260788DE-B435-11E9-9278-68D0E5697425"}],"publisher":"Institute of Mathematical Statistics","issue":"2","status":"public","quality_controlled":"1","abstract":[{"lang":"eng","text":"We consider the open symmetric exclusion (SEP) and inclusion (SIP) processes on a bounded Lipschitz domain Ω, with both fast and slow boundary. For the random walks on Ω dual to SEP/SIP we establish: a functional-CLT-type convergence to the Brownian motion on Ω with either Neumann (slow boundary), Dirichlet (fast boundary), or Robin (at criticality) boundary conditions; the discrete-to-continuum convergence of the corresponding harmonic profiles. As a consequence, we rigorously derive the hydrodynamic and hydrostatic limits for SEP/SIP on Ω, and analyze their stationary nonequilibrium fluctuations. All scaling limit results for SEP/SIP concern finite-dimensional distribution convergence only, as our duality techniques do not require to establish tightness for the fields associated to the particle systems."}],"title":"Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains","acknowledgement":"The first author gratefully acknowledges funding by the Austrian Science Fund (FWF) grant F65, by the European Research Council (ERC, grant agreement No 716117, awarded to Prof. Dr. Jan Maas). He also gratefully acknowledges funding of his current position by the Austrian Science Fund (FWF) grant ESPRIT 208.\r\nThe second author gratefully acknowledges funding by the Hausdorff Center for Mathematics at the University of Bonn. Part of this work was completed while this author was a member of the Institute of Science and Technology Austria. He gratefully acknowledges funding of his position at that time by the Austrian Science Fund (FWF) grants F65 and W1245.\r\nThe third author gratefully acknowledges funding by the Lise Meitner fellowship, Austrian Science Fund (FWF): M3211. Part of this work was completed while funded by the European Union’s Horizon 2020 research and innovation programme under the Marie-Skłodowska-Curie grant agreement No. 754411.","year":"2024","volume":34,"researchdata_availability":"no","citation":{"ieee":"L. Dello Schiavo, L. Portinale, and F. Sau, “Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains,” <i>Annals of Applied Probability</i>, vol. 34, no. 2. Institute of Mathematical Statistics, pp. 1789–1845, 2024.","short":"L. Dello Schiavo, L. Portinale, F. Sau, Annals of Applied Probability 34 (2024) 1789–1845.","apa":"Dello Schiavo, L., Portinale, L., &#38; Sau, F. (2024). Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains. <i>Annals of Applied Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/23-AAP2007\">https://doi.org/10.1214/23-AAP2007</a>","chicago":"Dello Schiavo, Lorenzo, Lorenzo Portinale, and Federico Sau. “Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Nonequilibrium States in Lipschitz Domains.” <i>Annals of Applied Probability</i>. Institute of Mathematical Statistics, 2024. <a href=\"https://doi.org/10.1214/23-AAP2007\">https://doi.org/10.1214/23-AAP2007</a>.","mla":"Dello Schiavo, Lorenzo, et al. “Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Nonequilibrium States in Lipschitz Domains.” <i>Annals of Applied Probability</i>, vol. 34, no. 2, Institute of Mathematical Statistics, 2024, pp. 1789–845, doi:<a href=\"https://doi.org/10.1214/23-AAP2007\">10.1214/23-AAP2007</a>.","ama":"Dello Schiavo L, Portinale L, Sau F. Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains. <i>Annals of Applied Probability</i>. 2024;34(2):1789-1845. doi:<a href=\"https://doi.org/10.1214/23-AAP2007\">10.1214/23-AAP2007</a>","ista":"Dello Schiavo L, Portinale L, Sau F. 2024. Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains. Annals of Applied Probability. 34(2), 1789–1845."},"publication_status":"published","doi":"10.1214/23-AAP2007","intvolume":"        34","oa_version":"Preprint","publication":"Annals of Applied Probability","oa":1,"date_updated":"2026-10-02T12:15:34Z","isi":1,"das_tickbox":"0","article_type":"original","department":[{"_id":"JaMa"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_created":"2024-04-14T22:01:02Z","month":"04","ec_funded":1,"_id":"15317","day":"01","article_processing_charge":"No","type":"journal_article","supplementarymaterial":"no","page":"1789-1845","corr_author":"1","author":[{"id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","first_name":"Lorenzo","full_name":"Dello Schiavo, Lorenzo","last_name":"Dello Schiavo","orcid":"0000-0002-9881-6870"},{"id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","first_name":"Lorenzo","full_name":"Portinale, Lorenzo","last_name":"Portinale"},{"full_name":"Sau, Federico","id":"E1836206-9F16-11E9-8814-AEFDE5697425","first_name":"Federico","last_name":"Sau"}],"scopus_import":"1","publication_identifier":{"issn":["1050-5164"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2112.14196","open_access":"1"}],"arxiv":1,"date_published":"2024-04-01T00:00:00Z","external_id":{"arxiv":["2112.14196"],"isi":["001198623200016"]},"language":[{"iso":"eng"}],"fulldoi":"https://doi.org/10.1214/23-AAP2007"},{"publication":"Journal of Functional Analysis","oa_version":"Published Version","intvolume":"       287","file_date_updated":"2025-01-09T09:33:56Z","das_tickbox":"1","oa":1,"isi":1,"date_updated":"2026-10-02T12:19:05Z","file":[{"creator":"dernst","file_name":"2024_JourFunctAnalysis_Wirth.pdf","file_id":"18802","date_updated":"2025-01-09T09:33:56Z","success":1,"content_type":"application/pdf","date_created":"2025-01-09T09:33:56Z","access_level":"open_access","relation":"main_file","file_size":503148,"checksum":"657c9f77dd30bb31ce43a591f58126a2"}],"date_created":"2024-05-12T22:01:01Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_type":"original","department":[{"_id":"JaMa"}],"_id":"15373","month":"08","dataavailabilitystatement":"No data was used for the research described in the article.","quality_controlled":"1","publisher":"Elsevier","status":"public","issue":"3","abstract":[{"lang":"eng","text":"In this article we prove a refined version of the Christensen–Evans theorem for generators of uniformly continuous GNS-symmetric quantum Markov semigroups. We use this result to show the existence of GNS-symmetric extensions of GNS-symmetric quantum Markov semigroups. In particular, this implies that the generators of GNS-symmetric quantum Markov semigroups on finite-dimensional von Neumann algebra can be written in the form specified by Alicki's theorem."}],"title":"Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups","OA_place":"publisher","publication_status":"published","citation":{"ieee":"M. Wirth, “Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups,” <i>Journal of Functional Analysis</i>, vol. 287, no. 3. Elsevier, 2024.","short":"M. Wirth, Journal of Functional Analysis 287 (2024).","apa":"Wirth, M. (2024). Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2024.110475\">https://doi.org/10.1016/j.jfa.2024.110475</a>","chicago":"Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric Quantum Markov Semigroups.” <i>Journal of Functional Analysis</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.jfa.2024.110475\">https://doi.org/10.1016/j.jfa.2024.110475</a>.","mla":"Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric Quantum Markov Semigroups.” <i>Journal of Functional Analysis</i>, vol. 287, no. 3, 110475, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110475\">10.1016/j.jfa.2024.110475</a>.","ama":"Wirth M. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. <i>Journal of Functional Analysis</i>. 2024;287(3). doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110475\">10.1016/j.jfa.2024.110475</a>","ista":"Wirth M. 2024. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. 287(3), 110475."},"year":"2024","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":287,"researchdata_availability":"not applicable","doi":"10.1016/j.jfa.2024.110475","OA_type":"hybrid","date_published":"2024-08-01T00:00:00Z","external_id":{"isi":["001237916800001"]},"language":[{"iso":"eng"}],"has_accepted_license":"1","fulldoi":"https://doi.org/10.1016/j.jfa.2024.110475","ddc":["510"],"day":"01","type":"journal_article","article_processing_charge":"Yes (via OA deal)","article_number":"110475","corr_author":"1","supplementarymaterial":"no","scopus_import":"1","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"author":[{"first_name":"Melchior","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","full_name":"Wirth, Melchior","last_name":"Wirth","orcid":"0000-0002-0519-4241"}]},{"arxiv":1,"external_id":{"arxiv":["2303.12926"],"isi":["001271814000001"]},"date_published":"2024-10-15T00:00:00Z","language":[{"iso":"eng"}],"fulldoi":"https://doi.org/10.1016/j.jfa.2024.110562","day":"15","article_processing_charge":"No","type":"journal_article","supplementarymaterial":"no","article_number":"110562","corr_author":"1","author":[{"last_name":"Brigati","full_name":"Brigati, Giovanni","id":"63ff57e8-1fbb-11ee-88f2-f558ffc59cf1","first_name":"Giovanni"},{"full_name":"Dolbeault, Jean","first_name":"Jean","last_name":"Dolbeault"},{"last_name":"Simonov","first_name":"Nikita","full_name":"Simonov, Nikita"}],"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"scopus_import":"1","main_file_link":[{"open_access":"1","url":"10.48550/arXiv.2303.12926"}],"intvolume":"       287","oa_version":"Preprint","publication":"Journal of Functional Analysis","oa":1,"isi":1,"date_updated":"2026-10-02T12:19:42Z","das_tickbox":"1","article_type":"original","department":[{"_id":"JaMa"}],"date_created":"2024-07-21T22:01:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"10","dataavailabilitystatement":"No data was used for the research described in the article.","_id":"17277","publisher":"Elsevier","issue":"8","status":"public","quality_controlled":"1","title":"Stability for the logarithmic Sobolev inequality","abstract":[{"text":"This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.\r\n\r\n","lang":"eng"}],"acknowledgement":"The authors thank Max Fathi and Pierre Cardaliaguet for fruitful discussions and Emanuel Indrei for stimulating interactions. They also thank an anonymous referee for useful comments and suggestions which have led to an improvement of the manuscript. They also want to express their gratitude to the managing editor, L. Gross, for his encouragements and questions. G.B. has been funded by the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement No 754362. This work has been (partially) supported by the Project Conviviality ANR-23-CE40-0003 of the French National Research Agency.","volume":287,"researchdata_availability":"not applicable","year":"2024","OA_place":"repository","citation":{"ista":"Brigati G, Dolbeault J, Simonov N. 2024. Stability for the logarithmic Sobolev inequality. Journal of Functional Analysis. 287(8), 110562.","mla":"Brigati, Giovanni, et al. “Stability for the Logarithmic Sobolev Inequality.” <i>Journal of Functional Analysis</i>, vol. 287, no. 8, 110562, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110562\">10.1016/j.jfa.2024.110562</a>.","ama":"Brigati G, Dolbeault J, Simonov N. Stability for the logarithmic Sobolev inequality. <i>Journal of Functional Analysis</i>. 2024;287(8). doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110562\">10.1016/j.jfa.2024.110562</a>","apa":"Brigati, G., Dolbeault, J., &#38; Simonov, N. (2024). Stability for the logarithmic Sobolev inequality. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2024.110562\">https://doi.org/10.1016/j.jfa.2024.110562</a>","chicago":"Brigati, Giovanni, Jean Dolbeault, and Nikita Simonov. “Stability for the Logarithmic Sobolev Inequality.” <i>Journal of Functional Analysis</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.jfa.2024.110562\">https://doi.org/10.1016/j.jfa.2024.110562</a>.","ieee":"G. Brigati, J. Dolbeault, and N. Simonov, “Stability for the logarithmic Sobolev inequality,” <i>Journal of Functional Analysis</i>, vol. 287, no. 8. Elsevier, 2024.","short":"G. Brigati, J. Dolbeault, N. Simonov, Journal of Functional Analysis 287 (2024)."},"publication_status":"published","OA_type":"green","doi":"10.1016/j.jfa.2024.110562"},{"_id":"18900","month":"07","date_created":"2025-01-27T12:36:10Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","department":[{"_id":"JaMa"}],"article_type":"original","das_tickbox":"0","file":[{"date_updated":"2025-01-27T12:38:10Z","file_id":"18901","success":1,"file_name":"2024_IMRN_Wirth.pdf","creator":"dernst","file_size":689984,"checksum":"3e1f80d58ada0c60a58f35df8080967e","relation":"main_file","access_level":"open_access","content_type":"application/pdf","date_created":"2025-01-27T12:38:10Z"}],"isi":1,"date_updated":"2026-10-02T12:21:50Z","oa":1,"publication":"International Mathematics Research Notices","oa_version":"Published Version","file_date_updated":"2025-01-27T12:38:10Z","intvolume":"      2024","doi":"10.1093/imrn/rnae092","OA_type":"hybrid","publication_status":"published","citation":{"ama":"Wirth M. Modular completely Dirichlet forms as squares of derivations. <i>International Mathematics Research Notices</i>. 2024;2024(14):10597-10614. doi:<a href=\"https://doi.org/10.1093/imrn/rnae092\">10.1093/imrn/rnae092</a>","mla":"Wirth, Melchior. “Modular Completely Dirichlet Forms as Squares of Derivations.” <i>International Mathematics Research Notices</i>, vol. 2024, no. 14, Oxford University Press, 2024, pp. 10597–614, doi:<a href=\"https://doi.org/10.1093/imrn/rnae092\">10.1093/imrn/rnae092</a>.","ista":"Wirth M. 2024. Modular completely Dirichlet forms as squares of derivations. International Mathematics Research Notices. 2024(14), 10597–10614.","short":"M. Wirth, International Mathematics Research Notices 2024 (2024) 10597–10614.","ieee":"M. Wirth, “Modular completely Dirichlet forms as squares of derivations,” <i>International Mathematics Research Notices</i>, vol. 2024, no. 14. Oxford University Press, pp. 10597–10614, 2024.","chicago":"Wirth, Melchior. “Modular Completely Dirichlet Forms as Squares of Derivations.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2024. <a href=\"https://doi.org/10.1093/imrn/rnae092\">https://doi.org/10.1093/imrn/rnae092</a>.","apa":"Wirth, M. (2024). Modular completely Dirichlet forms as squares of derivations. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnae092\">https://doi.org/10.1093/imrn/rnae092</a>"},"OA_place":"publisher","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"researchdata_availability":"no","volume":2024,"year":"2024","acknowledgement":"The author was funded by the Austrian Science Fund under the Esprit Programme [ESP 156]. For the purpose of Open Access, the authors have applied a CC BY public copyright licence to any Author Accepted Manuscript version arising from this submission. ","title":"Modular completely Dirichlet forms as squares of derivations","abstract":[{"text":"We prove that certain closable derivations on the GNS Hilbert space associated with a non-tracial weight on a von Neumann algebra give rise to GNS-symmetric semigroups of contractive completely positive maps on the von Neumann algebra.","lang":"eng"}],"quality_controlled":"1","issue":"14","status":"public","publisher":"Oxford University Press","project":[{"grant_number":"ESP156_N","_id":"34c6ea2d-11ca-11ed-8bc3-c04f3c502833","name":"Gradient flow techniques for quantum Markov semigroups"}],"has_accepted_license":"1","ddc":["510"],"fulldoi":"https://doi.org/10.1093/imrn/rnae092","language":[{"iso":"eng"}],"external_id":{"isi":["001222279400001"]},"date_published":"2024-07-01T00:00:00Z","publication_identifier":{"issn":["1073-7928"],"eissn":["1687-0247"]},"scopus_import":"1","author":[{"orcid":"0000-0002-0519-4241","last_name":"Wirth","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","first_name":"Melchior","full_name":"Wirth, Melchior"}],"page":"10597-10614","corr_author":"1","supplementarymaterial":"no","type":"journal_article","article_processing_charge":"Yes (via OA deal)","day":"01"},{"fulldoi":"https://doi.org/10.48550/arXiv.2402.04151","arxiv":1,"date_published":"2024-02-07T00:00:00Z","external_id":{"arxiv":["2402.04151"]},"language":[{"iso":"eng"}],"supplementarymaterial":"no","corr_author":"1","article_number":"2402.04151","author":[{"orcid":"0000-0002-6246-1465","last_name":"Khudiakova","first_name":"Kseniia","id":"4E6DC800-AE37-11E9-AC72-31CAE5697425","full_name":"Khudiakova, Kseniia"},{"id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","first_name":"Jan","full_name":"Maas, Jan","orcid":"0000-0002-0845-1338","last_name":"Maas"},{"last_name":"Pedrotti","full_name":"Pedrotti, Francesco","id":"d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c","first_name":"Francesco"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2402.04151"}],"day":"07","article_processing_charge":"No","type":"preprint","department":[{"_id":"JaMa"}],"date_created":"2024-07-31T08:07:40Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"02","_id":"17352","publication":"arXiv","oa_version":"Preprint","date_updated":"2026-10-02T12:20:11Z","oa":1,"related_material":{"record":[{"id":"20050","status":"public","relation":"later_version"},{"status":"public","id":"17336","relation":"dissertation_contains"}]},"das_tickbox":"0","researchdata_availability":"no","year":"2024","citation":{"ista":"Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. arXiv, 2402.04151.","mla":"Khudiakova, Kseniia, et al. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” <i>ArXiv</i>, 2402.04151, doi:<a href=\"https://doi.org/10.48550/arXiv.2402.04151\">10.48550/arXiv.2402.04151</a>.","ama":"Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2402.04151\">10.48550/arXiv.2402.04151</a>","apa":"Khudiakova, K., Maas, J., &#38; Pedrotti, F. (n.d.). L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2402.04151\">https://doi.org/10.48550/arXiv.2402.04151</a>","chicago":"Khudiakova, Kseniia, Jan Maas, and Francesco Pedrotti. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2402.04151\">https://doi.org/10.48550/arXiv.2402.04151</a>.","ieee":"K. Khudiakova, J. Maas, and F. Pedrotti, “L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model,” <i>arXiv</i>. .","short":"K. Khudiakova, J. Maas, F. Pedrotti, ArXiv (n.d.)."},"OA_place":"repository","publication_status":"draft","doi":"10.48550/arXiv.2402.04151","status":"public","project":[{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"},{"_id":"34d33d68-11ca-11ed-8bc3-ec13763c0ca8","grant_number":"26293","name":"The impact of deleterious mutations on small populations"}],"title":"L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher's infinitesimal model","abstract":[{"lang":"eng","text":"We prove upper bounds on the $L^\\infty$-Wasserstein distance from optimal\r\ntransport between strongly log-concave probability densities and log-Lipschitz\r\nperturbations. In the simplest setting, such a bound amounts to a\r\ntransport-information inequality involving the $L^\\infty$-Wasserstein metric\r\nand the relative $L^\\infty$-Fisher information. We show that this inequality\r\ncan be sharpened significantly in situations where the involved densities are\r\nanisotropic. Our proof is based on probabilistic techniques using Langevin\r\ndynamics. As an application of these results, we obtain sharp exponential rates\r\nof convergence in Fisher's infinitesimal model from quantitative genetics,\r\ngeneralising recent results by Calvez, Poyato, and Santambrogio in dimension 1\r\nto arbitrary dimensions."}]},{"intvolume":"        29","oa_version":"None","date_updated":"2026-10-02T12:21:19Z","department":[{"_id":"JaMa"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_created":"2025-01-27T12:26:03Z","month":"09","_id":"18899","editor":[{"orcid":"0000-0002-0845-1338","last_name":"Maas","first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","full_name":"Maas, Jan"},{"orcid":"0000-0001-5059-4466","last_name":"Rademacher","first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira"},{"full_name":"Titkos, Tamás","first_name":"Tamás","last_name":"Titkos"},{"first_name":"Daniel","id":"48DB45DA-F248-11E8-B48F-1D18A9856A87","full_name":"Virosztek, Daniel","orcid":"0000-0003-1109-5511","last_name":"Virosztek"}],"status":"public","publisher":"Springer Nature","quality_controlled":"1","title":"Optimal Transport on Quantum Structures","abstract":[{"text":"The flourishing theory of classical optimal transport concerns mass transportation at minimal cost. This book introduces the reader to optimal transport on quantum structures, i.e., optimal transportation between quantum states and related non-commutative concepts of mass transportation. It contains lecture notes on\r\n\r\nclassical optimal transport and Wasserstein gradient flows\r\ndynamics and quantum optimal transport\r\nquantum couplings and many-body problems\r\nquantum channels and qubits\r\n\r\nThese notes are based on lectures given by the authors at the \"Optimal Transport on Quantum Structures\" School held at the Erdös Center in Budapest in the fall of 2022. The lecture notes are complemented by two survey chapters presenting the state of the art in different research areas of non-commutative optimal transport.","lang":"eng"}],"volume":29,"year":"2024","publication_status":"published","citation":{"ama":"Maas J, Rademacher SAE, Titkos T, Virosztek D, eds. <i>Optimal Transport on Quantum Structures</i>. Vol 29. Cham: Springer Nature; 2024. doi:<a href=\"https://doi.org/10.1007/978-3-031-50466-2\">10.1007/978-3-031-50466-2</a>","mla":"Maas, Jan, et al., editors. <i>Optimal Transport on Quantum Structures</i>. Vol. 29, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/978-3-031-50466-2\">10.1007/978-3-031-50466-2</a>.","ista":"Maas J, Rademacher SAE, Titkos T, Virosztek D eds. 2024. Optimal Transport on Quantum Structures, Cham: Springer Nature,p.","short":"J. Maas, S.A.E. Rademacher, T. Titkos, D. Virosztek, eds., Optimal Transport on Quantum Structures, Springer Nature, Cham, 2024.","ieee":"J. Maas, S. A. E. Rademacher, T. Titkos, and D. Virosztek, Eds., <i>Optimal Transport on Quantum Structures</i>, vol. 29. Cham: Springer Nature, 2024.","chicago":"Maas, Jan, Simone Anna Elvira Rademacher, Tamás Titkos, and Daniel Virosztek, eds. <i>Optimal Transport on Quantum Structures</i>. Vol. 29. BSMS. Cham: Springer Nature, 2024. <a href=\"https://doi.org/10.1007/978-3-031-50466-2\">https://doi.org/10.1007/978-3-031-50466-2</a>.","apa":"Maas, J., Rademacher, S. A. E., Titkos, T., &#38; Virosztek, D. (Eds.). (2024). <i>Optimal Transport on Quantum Structures</i> (Vol. 29). Cham: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-031-50466-2\">https://doi.org/10.1007/978-3-031-50466-2</a>"},"series_title":"BSMS","doi":"10.1007/978-3-031-50466-2","date_published":"2024-09-19T00:00:00Z","alternative_title":["Bolyai Society Mathematical Studies"],"language":[{"iso":"eng"}],"fulldoi":"https://doi.org/10.1007/978-3-031-50466-2","day":"19","place":"Cham","article_processing_charge":"No","type":"book_editor","publication_identifier":{"eisbn":["9783031504662"],"eissn":["2947-9460"],"isbn":["9783031504655"],"issn":["1217-4696"]},"scopus_import":"1"},{"language":[{"iso":"eng"}],"arxiv":1,"external_id":{"arxiv":["2404.15205"]},"date_published":"2024-05-08T00:00:00Z","fulldoi":"https://doi.org/10.48550/arXiv.2404.15205","article_processing_charge":"No","type":"preprint","day":"08","author":[{"last_name":"Brigati","full_name":"Brigati, Giovanni","id":"63ff57e8-1fbb-11ee-88f2-f558ffc59cf1","first_name":"Giovanni"},{"first_name":"Francesco","id":"d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c","full_name":"Pedrotti, Francesco","last_name":"Pedrotti"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2404.15205"}],"supplementarymaterial":"no","article_number":"2404.15205","corr_author":"1","oa":1,"date_updated":"2026-10-02T12:20:37Z","das_tickbox":"0","related_material":{"record":[{"relation":"later_version","status":"public","id":"20591"},{"status":"public","id":"17336","relation":"dissertation_contains"}]},"oa_version":"Preprint","publication":"arXiv","month":"05","_id":"17353","department":[{"_id":"JaMa"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_created":"2024-07-31T08:17:14Z","abstract":[{"lang":"eng","text":"In this paper we derive estimates for the Hessian of the logarithm\r\n(log-Hessian) for solutions to the heat equation. For initial data in the form\r\nof log-Lipschitz perturbation of strongly log-concave measures, the log-Hessian\r\nadmits an explicit, uniform (in space) lower bound. This yields a new estimate\r\nfor the Lipschitz constant of a transport map pushing forward the standard\r\nGaussian to a measure in this class. Further connections are discussed with\r\nscore-based diffusion models and improved Gaussian logarithmic Sobolev\r\ninequalities. Finally, we show that assuming only fast decay of the tails of\r\nthe initial datum does not suffice to guarantee uniform log-Hessian upper\r\nbounds."}],"title":"Heat flow, log-concavity, and Lipschitz transport maps","status":"public","doi":"10.48550/arXiv.2404.15205","researchdata_availability":"no","year":"2024","OA_place":"repository","publication_status":"draft","citation":{"mla":"Brigati, Giovanni, and Francesco Pedrotti. “Heat Flow, Log-Concavity, and Lipschitz Transport Maps.” <i>ArXiv</i>, 2404.15205, doi:<a href=\"https://doi.org/10.48550/arXiv.2404.15205\">10.48550/arXiv.2404.15205</a>.","ama":"Brigati G, Pedrotti F. Heat flow, log-concavity, and Lipschitz transport maps. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2404.15205\">10.48550/arXiv.2404.15205</a>","ista":"Brigati G, Pedrotti F. Heat flow, log-concavity, and Lipschitz transport maps. arXiv, 2404.15205.","ieee":"G. Brigati and F. Pedrotti, “Heat flow, log-concavity, and Lipschitz transport maps,” <i>arXiv</i>. .","short":"G. Brigati, F. Pedrotti, ArXiv (n.d.).","apa":"Brigati, G., &#38; Pedrotti, F. (n.d.). Heat flow, log-concavity, and Lipschitz transport maps. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2404.15205\">https://doi.org/10.48550/arXiv.2404.15205</a>","chicago":"Brigati, Giovanni, and Francesco Pedrotti. “Heat Flow, Log-Concavity, and Lipschitz Transport Maps.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2404.15205\">https://doi.org/10.48550/arXiv.2404.15205</a>."}},{"article_processing_charge":"Yes","type":"journal_article","day":"08","author":[{"id":"19BDF720-25A0-11EA-AC6E-928F3DDC885E","first_name":"Han","full_name":"Tang, Han","orcid":"0000-0001-6152-6637","last_name":"Tang"},{"full_name":"Lu, KJ","first_name":"KJ","last_name":"Lu"},{"last_name":"Zhang","first_name":"Y","full_name":"Zhang, Y"},{"last_name":"Cheng","full_name":"Cheng, YL","first_name":"YL"},{"last_name":"Tu","first_name":"SL","full_name":"Tu, SL"},{"first_name":"Jiří","id":"4159519E-F248-11E8-B48F-1D18A9856A87","full_name":"Friml, Jiří","last_name":"Friml","orcid":"0000-0002-8302-7596"}],"scopus_import":"1","publication_identifier":{"issn":["2590-3462"]},"supplementarymaterial":"yes","article_number":"100669","corr_author":"1","language":[{"iso":"eng"}],"external_id":{"isi":["001158054500001"],"pmid":["37528584"]},"date_published":"2024-01-08T00:00:00Z","pmid":1,"fulldoi":"https://doi.org/10.1016/j.xplc.2023.100669","ddc":["580"],"has_accepted_license":"1","title":"Divergence of trafficking and polarization mechanisms for PIN auxin transporters during land plant evolution","abstract":[{"lang":"eng","text":"The phytohormone auxin and its directional transport through tissues play a fundamental role in development of higher plants. This polar auxin transport predominantly relies on PIN-FORMED (PIN) auxin exporters. Hence, PIN polarization is crucial for development, but its evolution during the rise of morphological complexity in land plants remains unclear. Here, we performed a cross-species investigation by observing the trafficking and localization of endogenous and exogenous PINs in two bryophytes, Physcomitrium patens and Marchantia polymorpha, and in the flowering plant Arabidopsis thaliana. We confirmed that the GFP fusion did not compromise the auxin export function of all examined PINs by using radioactive auxin export assay and by observing the phenotypic changes in transgenic bryophytes. Endogenous PINs polarize to filamentous apices, while exogenous Arabidopsis PINs distribute symmetrically on the membrane in both bryophytes. In Arabidopsis root epidermis, bryophytic PINs show no defined polarity. Pharmacological interference revealed a strong cytoskeleton dependence of bryophytic but not Arabidopsis PIN polarization. The divergence of PIN polarization and trafficking is also observed within the bryophyte clade and between tissues of individual species. These results collectively reveal a divergence of PIN trafficking and polarity mechanisms throughout land plant evolution and a co-evolution of PIN sequence-based and cell-based polarity mechanisms."}],"acknowledgement":"This work was supported by the ERC grant (PR1023ERC02) to H. T. and J. F., and by the ministry of science and technology (grant number 110-2636-B-005-001) to K. J. L.","publisher":"Elsevier","project":[{"name":"Tracing Evolution of Auxin Transport and Polarity in Plants","call_identifier":"H2020","grant_number":"742985","_id":"261099A6-B435-11E9-9278-68D0E5697425"}],"issue":"1","status":"public","quality_controlled":"1","OA_type":"gold","doi":"10.1016/j.xplc.2023.100669","researchdata_availability":"no","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":5,"year":"2024","citation":{"ama":"Tang H, Lu K, Zhang Y, Cheng Y, Tu S, Friml J. Divergence of trafficking and polarization mechanisms for PIN auxin transporters during land plant evolution. <i>Plant Communications</i>. 2024;5(1). doi:<a href=\"https://doi.org/10.1016/j.xplc.2023.100669\">10.1016/j.xplc.2023.100669</a>","mla":"Tang, Han, et al. “Divergence of Trafficking and Polarization Mechanisms for PIN Auxin Transporters during Land Plant Evolution.” <i>Plant Communications</i>, vol. 5, no. 1, 100669, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.xplc.2023.100669\">10.1016/j.xplc.2023.100669</a>.","ista":"Tang H, Lu K, Zhang Y, Cheng Y, Tu S, Friml J. 2024. Divergence of trafficking and polarization mechanisms for PIN auxin transporters during land plant evolution. Plant Communications. 5(1), 100669.","short":"H. Tang, K. Lu, Y. Zhang, Y. Cheng, S. Tu, J. Friml, Plant Communications 5 (2024).","ieee":"H. Tang, K. Lu, Y. Zhang, Y. Cheng, S. Tu, and J. Friml, “Divergence of trafficking and polarization mechanisms for PIN auxin transporters during land plant evolution,” <i>Plant Communications</i>, vol. 5, no. 1. Elsevier, 2024.","chicago":"Tang, Han, KJ Lu, Y Zhang, YL Cheng, SL Tu, and Jiří Friml. “Divergence of Trafficking and Polarization Mechanisms for PIN Auxin Transporters during Land Plant Evolution.” <i>Plant Communications</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.xplc.2023.100669\">https://doi.org/10.1016/j.xplc.2023.100669</a>.","apa":"Tang, H., Lu, K., Zhang, Y., Cheng, Y., Tu, S., &#38; Friml, J. (2024). Divergence of trafficking and polarization mechanisms for PIN auxin transporters during land plant evolution. <i>Plant Communications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.xplc.2023.100669\">https://doi.org/10.1016/j.xplc.2023.100669</a>"},"OA_place":"publisher","publication_status":"published","oa":1,"file":[{"file_name":"2023_PlantCommunications_Tang.pdf","creator":"dernst","success":1,"date_updated":"2024-01-30T12:59:57Z","file_id":"14911","access_level":"open_access","date_created":"2024-01-30T12:59:57Z","content_type":"application/pdf","file_size":2825565,"checksum":"edbc44c6d4a394d2bf70f92fdbb08f0a","relation":"main_file"}],"isi":1,"date_updated":"2026-10-02T12:23:32Z","das_tickbox":"0","intvolume":"         5","file_date_updated":"2024-01-30T12:59:57Z","publication":"Plant Communications","oa_version":"Published Version","month":"01","DOAJ_listed":"1","ec_funded":1,"_id":"14251","article_type":"original","department":[{"_id":"JiFr"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_created":"2023-09-01T11:32:02Z"},{"fulldoi":"https://doi.org/10.1007/s10725-023-01083-0","ddc":["580"],"has_accepted_license":"1","date_published":"2024-04-01T00:00:00Z","external_id":{"isi":["001084334300001"]},"language":[{"iso":"eng"}],"supplementarymaterial":"yes","page":"589-602","author":[{"full_name":"Bieleszová, Kristýna","first_name":"Kristýna","last_name":"Bieleszová"},{"last_name":"Hladík","first_name":"Pavel","full_name":"Hladík, Pavel"},{"last_name":"Kubala","full_name":"Kubala, Martin","first_name":"Martin"},{"first_name":"Richard","full_name":"Napier, Richard","last_name":"Napier"},{"last_name":"Brunoni","first_name":"Federica","full_name":"Brunoni, Federica"},{"full_name":"Gelová, Zuzana","id":"0AE74790-0E0B-11E9-ABC7-1ACFE5697425","first_name":"Zuzana","last_name":"Gelová","orcid":"0000-0003-4783-1752"},{"last_name":"Fiedler","first_name":"Lukas","id":"7c417475-8972-11ed-ae7b-8b674ca26986","full_name":"Fiedler, Lukas"},{"last_name":"Kulich","first_name":"Ivan","id":"57a1567c-8314-11eb-9063-c9ddc3451a54","full_name":"Kulich, Ivan"},{"last_name":"Strnad","first_name":"Miroslav","full_name":"Strnad, Miroslav"},{"full_name":"Doležal, Karel","first_name":"Karel","last_name":"Doležal"},{"last_name":"Novák","first_name":"Ondřej","full_name":"Novák, Ondřej"},{"last_name":"Friml","orcid":"0000-0002-8302-7596","full_name":"Friml, Jiří","id":"4159519E-F248-11E8-B48F-1D18A9856A87","first_name":"Jiří"},{"last_name":"Žukauskaitė","first_name":"Asta","full_name":"Žukauskaitė, Asta"}],"publication_identifier":{"eissn":["1573-5087"],"issn":["0167-6903"]},"scopus_import":"1","day":"01","article_processing_charge":"Yes (via OA deal)","type":"journal_article","article_type":"original","department":[{"_id":"JiFr"}],"date_created":"2023-10-22T22:01:15Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"04","dataavailabilitystatement":"The data that supports the findings of this study are available from the corresponding authors upon reasonable request.","_id":"14447","intvolume":"       102","file_date_updated":"2024-07-16T08:13:24Z","oa_version":"Published Version","publication":"Plant Growth Regulation","oa":1,"isi":1,"date_updated":"2026-10-02T12:24:54Z","file":[{"file_size":2847929,"checksum":"e63271b1d57c1f03c1d993fd62cba59c","relation":"main_file","access_level":"open_access","date_created":"2024-07-16T08:13:24Z","content_type":"application/pdf","success":1,"date_updated":"2024-07-16T08:13:24Z","file_id":"17252","creator":"dernst","file_name":"2024_PlantGrowthReg_Bieleszova.pdf"}],"das_tickbox":"1","researchdata_availability":"upon request","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":102,"year":"2024","citation":{"mla":"Bieleszová, Kristýna, et al. “New Fluorescent Auxin Derivatives: Anti-Auxin Activity and Accumulation Patterns in Arabidopsis Thaliana.” <i>Plant Growth Regulation</i>, vol. 102, Springer Nature, 2024, pp. 589–602, doi:<a href=\"https://doi.org/10.1007/s10725-023-01083-0\">10.1007/s10725-023-01083-0</a>.","ama":"Bieleszová K, Hladík P, Kubala M, et al. New fluorescent auxin derivatives: Anti-auxin activity and accumulation patterns in Arabidopsis thaliana. <i>Plant Growth Regulation</i>. 2024;102:589-602. doi:<a href=\"https://doi.org/10.1007/s10725-023-01083-0\">10.1007/s10725-023-01083-0</a>","ista":"Bieleszová K, Hladík P, Kubala M, Napier R, Brunoni F, Gelová Z, Fiedler L, Kulich I, Strnad M, Doležal K, Novák O, Friml J, Žukauskaitė A. 2024. New fluorescent auxin derivatives: Anti-auxin activity and accumulation patterns in Arabidopsis thaliana. Plant Growth Regulation. 102, 589–602.","ieee":"K. Bieleszová <i>et al.</i>, “New fluorescent auxin derivatives: Anti-auxin activity and accumulation patterns in Arabidopsis thaliana,” <i>Plant Growth Regulation</i>, vol. 102. Springer Nature, pp. 589–602, 2024.","short":"K. Bieleszová, P. Hladík, M. Kubala, R. Napier, F. Brunoni, Z. Gelová, L. Fiedler, I. Kulich, M. Strnad, K. Doležal, O. Novák, J. Friml, A. Žukauskaitė, Plant Growth Regulation 102 (2024) 589–602.","apa":"Bieleszová, K., Hladík, P., Kubala, M., Napier, R., Brunoni, F., Gelová, Z., … Žukauskaitė, A. (2024). New fluorescent auxin derivatives: Anti-auxin activity and accumulation patterns in Arabidopsis thaliana. <i>Plant Growth Regulation</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10725-023-01083-0\">https://doi.org/10.1007/s10725-023-01083-0</a>","chicago":"Bieleszová, Kristýna, Pavel Hladík, Martin Kubala, Richard Napier, Federica Brunoni, Zuzana Gelová, Lukas Fiedler, et al. “New Fluorescent Auxin Derivatives: Anti-Auxin Activity and Accumulation Patterns in Arabidopsis Thaliana.” <i>Plant Growth Regulation</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s10725-023-01083-0\">https://doi.org/10.1007/s10725-023-01083-0</a>."},"publication_status":"published","doi":"10.1007/s10725-023-01083-0","publisher":"Springer Nature","status":"public","quality_controlled":"1","title":"New fluorescent auxin derivatives: Anti-auxin activity and accumulation patterns in Arabidopsis thaliana","abstract":[{"text":"Auxin belongs among major phytohormones and governs multiple aspects of plant growth and development. The establishment of auxin concentration gradients, determines, among other processes, plant organ positioning and growth responses to environmental stimuli.\r\nHerein we report the synthesis of new NBD- or DNS-labelled IAA derivatives and the elucidation of their biological activity, fluorescence properties and subcellular accumulation patterns in planta. These novel compounds did not show auxin-like activity, but instead antagonized physiological auxin effects. The DNS-labelled derivatives FL5 and FL6 showed strong anti-auxin activity in roots and hypocotyls, which also occurred at the level of gene transcription as confirmed by quantitative PCR analysis. The auxin antagonism of our derivatives was further demonstrated in vitro using an SPR-based binding assay. The NBD-labelled compound FL4 with the best fluorescence properties proved to be unsuitable to study auxin accumulation patterns in planta. On the other hand, the strongest anti-auxin activity possessing compounds FL5 and FL6 could be useful to study binding mechanisms to auxin receptors and for manipulations of auxin-regulated processes.","lang":"eng"}],"acknowledgement":"The authors would like to thank Karolína Kubiasová and Iñigo Saiz-Fernández for valuable scientific discussions. Open access publishing supported by the National Technical Library in Prague. This work was supported by the Palacký University Olomouc Young Researcher Grant Competition (JG_2020_002), by the Internal Grant Agency of Palacký University Olomouc (IGA_PrF_2023_016, IGA_PrF_2023_031), by the Ministry of Education, Youth and Sports of the Czech Republic through the European Regional Development Fund-Project Plants as a tool for sustainable global development (CZ.02.1.01/0.0/0.0/16_019/0000827) and the project Support of mobility at Palacký University Olomouc II. (CZ.02.2.69/0.0/0.0/18_053/0016919). The Biacore T200 SPR instrument was provided by the WISB Research Technology Facility within the School of Life Sciences, University of Warwick."},{"_id":"17048","DOAJ_listed":"1","dataavailabilitystatement":"All data are available in the main text or the supplementary materials. Source data are provided with this paper.","month":"05","date_created":"2024-05-26T22:00:57Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","department":[{"_id":"JiFr"}],"article_type":"original","das_tickbox":"1","file":[{"file_name":"2024_NatureComm_Rajappa.pdf","creator":"dernst","success":1,"date_updated":"2024-05-27T07:43:46Z","file_id":"17056","date_created":"2024-05-27T07:43:46Z","content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"79aacbe31cf7626b78da062b1339bdb0","file_size":20961818}],"date_updated":"2026-10-02T12:26:55Z","isi":1,"oa":1,"publication":"Nature Communications","oa_version":"Published Version","file_date_updated":"2024-05-27T07:43:46Z","intvolume":"        15","doi":"10.1038/s41467-024-48234-z","citation":{"ieee":"S. Rajappa <i>et al.</i>, “The translocation of a chloride channel from the Golgi to the plasma membrane helps plants adapt to salt stress,” <i>Nature Communications</i>, vol. 15. Springer Nature, 2024.","short":"S. Rajappa, P. Krishnamurthy, H. Huang, D. Yu, J. Friml, J. Xu, P.P. Kumar, Nature Communications 15 (2024).","apa":"Rajappa, S., Krishnamurthy, P., Huang, H., Yu, D., Friml, J., Xu, J., &#38; Kumar, P. P. (2024). The translocation of a chloride channel from the Golgi to the plasma membrane helps plants adapt to salt stress. <i>Nature Communications</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41467-024-48234-z\">https://doi.org/10.1038/s41467-024-48234-z</a>","chicago":"Rajappa, Sivamathini, Pannaga Krishnamurthy, Hua Huang, Dejie Yu, Jiří Friml, Jian Xu, and Prakash P. Kumar. “The Translocation of a Chloride Channel from the Golgi to the Plasma Membrane Helps Plants Adapt to Salt Stress.” <i>Nature Communications</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1038/s41467-024-48234-z\">https://doi.org/10.1038/s41467-024-48234-z</a>.","mla":"Rajappa, Sivamathini, et al. “The Translocation of a Chloride Channel from the Golgi to the Plasma Membrane Helps Plants Adapt to Salt Stress.” <i>Nature Communications</i>, vol. 15, 3978, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1038/s41467-024-48234-z\">10.1038/s41467-024-48234-z</a>.","ama":"Rajappa S, Krishnamurthy P, Huang H, et al. The translocation of a chloride channel from the Golgi to the plasma membrane helps plants adapt to salt stress. <i>Nature Communications</i>. 2024;15. doi:<a href=\"https://doi.org/10.1038/s41467-024-48234-z\">10.1038/s41467-024-48234-z</a>","ista":"Rajappa S, Krishnamurthy P, Huang H, Yu D, Friml J, Xu J, Kumar PP. 2024. The translocation of a chloride channel from the Golgi to the plasma membrane helps plants adapt to salt stress. Nature Communications. 15, 3978."},"publication_status":"published","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"year":"2024","researchdata_availability":"yes (supplementary data)","volume":15,"acknowledgement":"The authors thank Drs. Akihiko Nakano and Tomohiro Uemura (RIKEN and Ochanomizu University, Japan) for providing plant material (seeds of GFP-RABA1bQ72L GFP-RABA1bS27N), Dr. Prakash Arumugam (SIFBI, A*STAR, Singapore) for providing the yeast strains used in this study, and Dr. Jobichen Chacko for help with homology model building. We thank Prof. Elliot Meyerowitz (Caltech) and Dr. On Sun Lau (NUS) for critical reading of our manuscript. The National University of Singapore provided partial financial support as grant number A−8000149-03-00, and PhD research scholarship to S.R.","abstract":[{"text":"A key mechanism employed by plants to adapt to salinity stress involves maintaining ion homeostasis via the actions of ion transporters. While the function of cation transporters in maintaining ion homeostasis in plants has been extensively studied, little is known about the roles of their anion counterparts in this process. Here, we describe a mechanism of salt adaptation in plants. We characterized the chloride channel (CLC) gene AtCLCf, whose expression is regulated by WRKY transcription factor under salt stress in Arabidopsis thaliana. Loss-of-function atclcf seedlings show increased sensitivity to salt, whereas AtCLCf overexpression confers enhanced resistance to salt stress. Salt stress induces the translocation of GFP-AtCLCf fusion protein to the plasma membrane (PM). Blocking AtCLCf translocation using the exocytosis inhibitor brefeldin-A or mutating the small GTPase gene AtRABA1b/BEX5 (RAS GENES FROM RAT BRAINA1b homolog) increases salt sensitivity in plants. Electrophysiology and liposome-based assays confirm the Cl−/H+ antiport function of AtCLCf. Therefore, we have uncovered a mechanism of plant adaptation to salt stress involving the NaCl-induced translocation of AtCLCf to the PM, thus facilitating Cl− removal at the roots, and increasing the plant’s salinity tolerance.","lang":"eng"}],"title":"The translocation of a chloride channel from the Golgi to the plasma membrane helps plants adapt to salt stress","quality_controlled":"1","status":"public","publisher":"Springer Nature","has_accepted_license":"1","ddc":["580"],"fulldoi":"https://doi.org/10.1038/s41467-024-48234-z","language":[{"iso":"eng"}],"date_published":"2024-05-10T00:00:00Z","external_id":{"pmid":["38729926"],"isi":["001221549300004"]},"pmid":1,"publication_identifier":{"eissn":["2041-1723"]},"scopus_import":"1","author":[{"last_name":"Rajappa","full_name":"Rajappa, Sivamathini","first_name":"Sivamathini"},{"full_name":"Krishnamurthy, Pannaga","first_name":"Pannaga","last_name":"Krishnamurthy"},{"first_name":"Hua","full_name":"Huang, Hua","last_name":"Huang"},{"first_name":"Dejie","full_name":"Yu, Dejie","last_name":"Yu"},{"last_name":"Friml","orcid":"0000-0002-8302-7596","full_name":"Friml, Jiří","id":"4159519E-F248-11E8-B48F-1D18A9856A87","first_name":"Jiří"},{"last_name":"Xu","full_name":"Xu, Jian","first_name":"Jian"},{"first_name":"Prakash P.","full_name":"Kumar, Prakash P.","last_name":"Kumar"}],"article_number":"3978","supplementarymaterial":"yes","type":"journal_article","article_processing_charge":"Yes","day":"10"},{"department":[{"_id":"GradSch"},{"_id":"JaMa"}],"date_created":"2024-07-29T09:14:14Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"07","_id":"17336","ec_funded":1,"file_date_updated":"2024-08-02T09:27:15Z","oa_version":"Published Version","date_updated":"2026-10-02T12:22:41Z","file":[{"success":1,"date_updated":"2024-08-02T09:23:26Z","file_id":"17366","file_name":"thesis_final.pdf","creator":"fpedrott","relation":"main_file","checksum":"11650bab714ef85ad43a287060850523","file_size":2941599,"date_created":"2024-08-02T09:23:26Z","content_type":"application/pdf","access_level":"open_access"},{"content_type":"application/x-zip-compressed","date_created":"2024-08-02T09:27:15Z","access_level":"closed","relation":"source_file","checksum":"c30ba5611941226cf1bfc867c25b1e80","file_size":6293375,"file_name":"thesis_final_source.zip","creator":"fpedrott","date_updated":"2024-08-02T09:27:15Z","file_id":"17367"}],"oa":1,"related_material":{"record":[{"relation":"part_of_dissertation","id":"17351","status":"public"},{"relation":"part_of_dissertation","id":"17143","status":"public"},{"id":"17352","status":"public","relation":"part_of_dissertation"},{"status":"public","id":"17353","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","status":"public","id":"17350"}]},"das_tickbox":"0","researchdata_availability":"no","tmp":{"image":"/images/cc_by_nc_nd.png","short":"CC BY-NC-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)"},"year":"2024","publication_status":"published","citation":{"ieee":"F. Pedrotti, “Functional inequalities and convergence of stochastic processes,” Institute of Science and Technology Austria, 2024.","short":"F. Pedrotti, Functional Inequalities and Convergence of Stochastic Processes, Institute of Science and Technology Austria, 2024.","apa":"Pedrotti, F. (2024). <i>Functional inequalities and convergence of stochastic processes</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:17336\">https://doi.org/10.15479/at:ista:17336</a>","chicago":"Pedrotti, Francesco. “Functional Inequalities and Convergence of Stochastic Processes.” Institute of Science and Technology Austria, 2024. <a href=\"https://doi.org/10.15479/at:ista:17336\">https://doi.org/10.15479/at:ista:17336</a>.","mla":"Pedrotti, Francesco. <i>Functional Inequalities and Convergence of Stochastic Processes</i>. Institute of Science and Technology Austria, 2024, doi:<a href=\"https://doi.org/10.15479/at:ista:17336\">10.15479/at:ista:17336</a>.","ama":"Pedrotti F. Functional inequalities and convergence of stochastic processes. 2024. doi:<a href=\"https://doi.org/10.15479/at:ista:17336\">10.15479/at:ista:17336</a>","ista":"Pedrotti F. 2024. Functional inequalities and convergence of stochastic processes. Institute of Science and Technology Austria."},"OA_place":"publisher","doi":"10.15479/at:ista:17336","status":"public","project":[{"name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117","call_identifier":"H2020"},{"name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"publisher":"Institute of Science and Technology Austria","supervisor":[{"first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","full_name":"Maas, Jan","last_name":"Maas","orcid":"0000-0002-0845-1338"}],"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","abstract":[{"lang":"eng","text":"This thesis deals with the study of stochastic processes and their ergodicity properties. The\r\nvariety of problems encountered calls for a set of different approaches, ranging from classical to\r\nmodern ones: a special place is held by probabilistic methods based on couplings, by functional\r\ninequalities, and by the theory of gradient flows in the space of measures.\r\n\r\nThe material is organized as follows. Chapter 1 contains the introduction to this thesis, starting\r\nwith a general presentation of some of the relevant topics. Section 1.1 is dedicated to the\r\ntheory of gradient flows in metric spaces, and introduces the first contribution of this thesis\r\n[DSMP24], which is presented in detail in Chapter 2. Section 1.2 moves to the topic of\r\ncurvature of Markov chains, concluding with a brief description of our second contribution\r\n[Ped23], which is included in Chapter 3. Section 1.3 discusses applications of stochastic\r\nprocesses to the theory of sampling, in particular the recent framework of score-based diffusion\r\nmodels, and our contribution [PMM24], which is contained in Chapter 4. Section 1.4 discusses\r\nsome related problems, concerning the regularization properties of the heat flow. It serves\r\nas a motivation for the work [BP24], which we report in Chapter 5. Finally, Section 1.5\r\ndiscusses the last contribution of this thesis, which can be found in Chapter 6. It deals with\r\nthe convergence to equilibrium of a particular stochastic model from quantitative genetics:\r\nthis is established via some functional inequalities, which we prove with probabilistic arguments\r\nbased on couplings.\r\n"}],"title":"Functional inequalities and convergence of stochastic processes","degree_awarded":"PhD","ddc":["500","510","515","519"],"fulldoi":"https://doi.org/10.15479/at:ista:17336","has_accepted_license":"1","date_published":"2024-07-31T00:00:00Z","alternative_title":["ISTA Thesis"],"language":[{"iso":"eng"}],"supplementarymaterial":"no","page":"183","corr_author":"1","author":[{"id":"d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c","first_name":"Francesco","full_name":"Pedrotti, Francesco","last_name":"Pedrotti"}],"doi_confirm":"1","publication_identifier":{"issn":["2663-337X"]},"day":"31","article_processing_charge":"No","type":"dissertation"},{"arxiv":1,"date_published":"2024-06-01T00:00:00Z","external_id":{"arxiv":["2305.14164"]},"alternative_title":["TMLR"],"language":[{"iso":"eng"}],"ddc":["000"],"has_accepted_license":"1","day":"01","article_processing_charge":"No","type":"conference","supplementarymaterial":"no","corr_author":"1","author":[{"first_name":"Francesco","id":"d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c","full_name":"Pedrotti, Francesco","last_name":"Pedrotti"},{"orcid":"0000-0002-0845-1338","last_name":"Maas","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","first_name":"Jan","full_name":"Maas, Jan"},{"first_name":"Marco","id":"27EB676C-8706-11E9-9510-7717E6697425","full_name":"Mondelli, Marco","last_name":"Mondelli","orcid":"0000-0002-3242-7020"}],"scopus_import":"1","publication_identifier":{"issn":["2835-8856"]},"file_date_updated":"2025-01-27T12:19:44Z","publication":"Transactions on Machine Learning Research","oa_version":"Published Version","file":[{"access_level":"open_access","date_created":"2025-01-27T12:19:44Z","content_type":"application/pdf","file_size":780315,"checksum":"76a1fd5afd8ee6f7ae0e5912d7dbf6b4","relation":"main_file","file_name":"2024_TMLR_Pedrotti.pdf","creator":"dernst","success":1,"date_updated":"2025-01-27T12:19:44Z","file_id":"18898"}],"date_updated":"2026-10-02T12:22:41Z","oa":1,"das_tickbox":"0","related_material":{"record":[{"status":"public","id":"17350","relation":"earlier_version"}]},"department":[{"_id":"JaMa"},{"_id":"MaMo"}],"date_created":"2025-01-27T12:18:05Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"06","_id":"18897","status":"public","project":[{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"},{"_id":"059876FA-7A3F-11EA-A408-12923DDC885E","name":"Prix Lopez-Loretta 2019 - Marco Mondelli"}],"quality_controlled":"1","abstract":[{"lang":"eng","text":"Score-based generative models (SGMs) are powerful tools to sample from complex data distributions. Their underlying idea is to (i) run a forward process for time T1 by adding noise to the data, (ii) estimate its score function, and (iii) use such estimate to run a reverse process. As the reverse process is initialized with the stationary distribution of the forward one, the existing analysis paradigm requires T1→∞. This is however problematic: from a theoretical viewpoint, for a given precision of the score approximation, the convergence guarantee fails as T1 diverges; from a practical viewpoint, a large T1 increases computational costs and leads to error propagation. This paper addresses the issue by considering a version of the popular predictor-corrector scheme: after running the forward process, we first estimate the final distribution via an inexact Langevin dynamics and then revert the process. Our key technical contribution is to provide convergence guarantees which require to run the forward process only for a fixed finite time T1. Our bounds exhibit a mild logarithmic dependence on the input dimension and the subgaussian norm of the target distribution, have minimal assumptions on the data, and require only to control the L2 loss on the score approximation, which is the quantity minimized in practice."}],"title":"Improved convergence of score-based diffusion models via prediction-correction","acknowledgement":"Francesco Pedrotti and Jan Maas acknowledge support by the Austrian Science Fund (FWF) project 10.55776/F65. Marco Mondelli acknowledges support by the 2019 Lopez-Loreta prize.\r\n","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"researchdata_availability":"no","year":"2024","OA_place":"publisher","citation":{"short":"F. Pedrotti, J. Maas, M. Mondelli, in:, Transactions on Machine Learning Research, 2024.","ieee":"F. Pedrotti, J. Maas, and M. Mondelli, “Improved convergence of score-based diffusion models via prediction-correction,” in <i>Transactions on Machine Learning Research</i>, 2024.","chicago":"Pedrotti, Francesco, Jan Maas, and Marco Mondelli. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” In <i>Transactions on Machine Learning Research</i>, 2024.","apa":"Pedrotti, F., Maas, J., &#38; Mondelli, M. (2024). Improved convergence of score-based diffusion models via prediction-correction. In <i>Transactions on Machine Learning Research</i>.","ama":"Pedrotti F, Maas J, Mondelli M. Improved convergence of score-based diffusion models via prediction-correction. In: <i>Transactions on Machine Learning Research</i>. ; 2024.","mla":"Pedrotti, Francesco, et al. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” <i>Transactions on Machine Learning Research</i>, 2024.","ista":"Pedrotti F, Maas J, Mondelli M. 2024. Improved convergence of score-based diffusion models via prediction-correction. Transactions on Machine Learning Research. , TMLR, ."},"publication_status":"published","OA_type":"gold"},{"language":[{"iso":"eng"}],"external_id":{"arxiv":["2305.14164"]},"date_published":"2024-06-06T00:00:00Z","arxiv":1,"fulldoi":"https://doi.org/10.48550/arXiv.2305.14164","type":"preprint","article_processing_charge":"No","day":"06","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2305.14164","open_access":"1"}],"author":[{"last_name":"Pedrotti","first_name":"Francesco","id":"d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c","full_name":"Pedrotti, Francesco"},{"orcid":"0000-0002-0845-1338","last_name":"Maas","full_name":"Maas, Jan","first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Mondelli, Marco","first_name":"Marco","id":"27EB676C-8706-11E9-9510-7717E6697425","orcid":"0000-0002-3242-7020","last_name":"Mondelli"}],"corr_author":"1","supplementarymaterial":"no","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"17336"},{"relation":"later_version","status":"public","id":"18897"}]},"das_tickbox":"0","date_updated":"2026-10-02T12:22:41Z","oa":1,"oa_version":"Preprint","publication":"arXiv","_id":"17350","month":"06","date_created":"2024-07-31T07:56:40Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","department":[{"_id":"JaMa"},{"_id":"MaMo"}],"abstract":[{"text":"Score-based generative models (SGMs) are powerful tools to sample from\r\ncomplex data distributions. Their underlying idea is to (i) run a forward\r\nprocess for time $T_1$ by adding noise to the data, (ii) estimate its score\r\nfunction, and (iii) use such estimate to run a reverse process. As the reverse\r\nprocess is initialized with the stationary distribution of the forward one, the\r\nexisting analysis paradigm requires $T_1\\to\\infty$. This is however\r\nproblematic: from a theoretical viewpoint, for a given precision of the score\r\napproximation, the convergence guarantee fails as $T_1$ diverges; from a\r\npractical viewpoint, a large $T_1$ increases computational costs and leads to\r\nerror propagation. This paper addresses the issue by considering a version of\r\nthe popular predictor-corrector scheme: after running the forward process, we\r\nfirst estimate the final distribution via an inexact Langevin dynamics and then\r\nrevert the process. Our key technical contribution is to provide convergence\r\nguarantees which require to run the forward process only for a fixed finite\r\ntime $T_1$. Our bounds exhibit a mild logarithmic dependence on the input\r\ndimension and the subgaussian norm of the target distribution, have minimal\r\nassumptions on the data, and require only to control the $L^2$ loss on the\r\nscore approximation, which is the quantity minimized in practice.","lang":"eng"}],"title":"Improved convergence of score-based diffusion models via prediction-correction","status":"public","project":[{"name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504"},{"_id":"059876FA-7A3F-11EA-A408-12923DDC885E","name":"Prix Lopez-Loretta 2019 - Marco Mondelli"}],"doi":"10.48550/arXiv.2305.14164","citation":{"short":"F. Pedrotti, J. Maas, M. Mondelli, ArXiv (n.d.).","ieee":"F. Pedrotti, J. Maas, and M. Mondelli, “Improved convergence of score-based diffusion models via prediction-correction,” <i>arXiv</i>. .","chicago":"Pedrotti, Francesco, Jan Maas, and Marco Mondelli. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2305.14164\">https://doi.org/10.48550/arXiv.2305.14164</a>.","apa":"Pedrotti, F., Maas, J., &#38; Mondelli, M. (n.d.). Improved convergence of score-based diffusion models via prediction-correction. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2305.14164\">https://doi.org/10.48550/arXiv.2305.14164</a>","ama":"Pedrotti F, Maas J, Mondelli M. Improved convergence of score-based diffusion models via prediction-correction. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2305.14164\">10.48550/arXiv.2305.14164</a>","mla":"Pedrotti, Francesco, et al. “Improved Convergence of Score-Based Diffusion Models via Prediction-Correction.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/arXiv.2305.14164\">10.48550/arXiv.2305.14164</a>.","ista":"Pedrotti F, Maas J, Mondelli M. Improved convergence of score-based diffusion models via prediction-correction. arXiv, <a href=\"https://doi.org/10.48550/arXiv.2305.14164\">10.48550/arXiv.2305.14164</a>."},"OA_place":"repository","publication_status":"draft","year":"2024","researchdata_availability":"no"},{"ddc":["580"],"fulldoi":"https://doi.org/10.6084/m9.figshare.25448191","month":"03","_id":"22776","department":[{"_id":"JiFr"}],"date_created":"2026-09-03T09:17:46Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-10-02T12:31:36Z","oa":1,"related_material":{"record":[{"relation":"research_data","status":"public","id":"17103"}]},"oa_version":"None","date_published":"2024-03-21T00:00:00Z","author":[{"last_name":"Du","full_name":"Du, Yunlong","first_name":"Yunlong"}],"OA_type":"green","main_file_link":[{"open_access":"1","url":"https://doi.org/10.6084/m9.figshare.25448191"}],"doi":"10.6084/m9.figshare.25448191","year":"2024","OA_place":"repository","citation":{"ista":"Du Y. 2024. SeRrbJ609, Repository, <a href=\"https://doi.org/10.6084/m9.figshare.25448191\">10.6084/m9.figshare.25448191</a>.","ama":"Du Y. SeRrbJ609. 2024. doi:<a href=\"https://doi.org/10.6084/m9.figshare.25448191\">10.6084/m9.figshare.25448191</a>","mla":"Du, Yunlong. <i>SeRrbJ609</i>. Repository, 2024, doi:<a href=\"https://doi.org/10.6084/m9.figshare.25448191\">10.6084/m9.figshare.25448191</a>.","chicago":"Du, Yunlong. “SeRrbJ609.” Repository, 2024. <a href=\"https://doi.org/10.6084/m9.figshare.25448191\">https://doi.org/10.6084/m9.figshare.25448191</a>.","apa":"Du, Y. (2024). SeRrbJ609. Repository. <a href=\"https://doi.org/10.6084/m9.figshare.25448191\">https://doi.org/10.6084/m9.figshare.25448191</a>","short":"Y. Du, (2024).","ieee":"Y. Du, “SeRrbJ609.” Repository, 2024."},"article_processing_charge":"No","title":"SeRrbJ609","type":"research_data_reference","status":"public","day":"21","publisher":"Repository"},{"quality_controlled":"1","publisher":"Springer Nature","status":"public","acknowledgement":"We thank Professor Jianqiang Wu (Kunming Institute of Botany, Chinese Academy of Sciences) for his generous support with the sakuranetin measurement. We thank International Rice Research Institute (IRRI) for provision of the rice NILs. We thank Professor Zhongkai Zhang (Yunnan Academy of Agricultural Sciences) for his generous support with subcellular structure observation of rice roots. We thank Professor Barbara Valent (Kansas State University) for her generously provision of the plasmid containing the PWL2 gene. We thank Professor Zuhua He (Chinese Academy of Sciences) for the gift of the transgenic rice line expressing the Pigm gene, OsNPR1-RNAi mutant line and ROD1-overexpression rice line. We thank Professor Yinong Yang (The Pennsylvania State University) for provision of the rice line NahG. We thank Professor Muyuan Zhu (Zhejiang University) for provision of the transgenic plants overexpressing miR393a. We thank Professor Zhengge Zhu (Hebei Normal University) for provision of the rice line overexpressing OsPIN3t-GFP. We thank Professor Yanhua Qi (Zhejiang University) for provision of the arf12 mutant line. Thanks also go to Professor Jean-Benoit Morel (Plant Health Institute of Montpellier) for provision of the fungus M. oryzae strain Guy11 (AvrCo39-mRFP). This work was supported by grants from the National Natural Science Foundation of China (Grant Nos. 32260085, 31460453, 31660501, 31860064, 31760500 and 31901870), the Major Special Program for Scientific Research, Education Department of Yunnan Province (Grant No. ZD2015005). The project was also sponsored by SRF for ROCS, SEM (Grant No. [2013] 1792), the Key Projects of Applied Basic Research Plan of Yunnan Province (Grant No. 2017FA018, 202301AS070082), the Major Science and Technology Project in Yunnan Province (202102AE090042, 202202AE090036 and 202102AE090017), the Young and Middle-Aged Academic and Technical Leaders Reserve Talent Program in Yunnan Province (202205AC160076), the China Postdoctoral Science Foundation (2019M653849XB) and the National Key Research and Development Program of China (2023YFE0107500).","title":"Phytoalexin sakuranetin attenuates endocytosis and enhances resistance to rice blast","abstract":[{"text":"Phytoalexin sakuranetin functions in resistance against rice blast. However, the mechanisms underlying the effects of sakuranetin remains elusive. Here, we report that rice lines expressing resistance (R) genes were found to contain high levels of sakuranetin, which correlates with attenuated endocytic trafficking of plasma membrane (PM) proteins. Exogenous and endogenous sakuranetin attenuates the endocytosis of various PM proteins and the fungal effector PWL2. Moreover, accumulation of the avirulence protein AvrCO39, resulting from uptake into rice cells by Magnaporthe oryzae, was reduced following treatment with sakuranetin. Pharmacological manipulation of clathrin-mediated endocytic (CME) suggests that this pathway is targeted by sakuranetin. Indeed, attenuation of CME by sakuranetin is sufficient to convey resistance against rice blast. Our data reveals a mechanism of rice against M. oryzae by increasing sakuranetin levels and repressing the CME of pathogen effectors, which is distinct from the action of many R genes that mainly function by modulating transcription.","lang":"eng"}],"publication_status":"published","citation":{"chicago":"Jiang, Lihui, Xiaoyan Zhang, Yiting Zhao, Haiyan Zhu, Qijing Fu, Xinqi Lu, Wuying Huang, et al. “Phytoalexin Sakuranetin Attenuates Endocytosis and Enhances Resistance to Rice Blast.” <i>Nature Communications</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1038/s41467-024-47746-y\">https://doi.org/10.1038/s41467-024-47746-y</a>.","apa":"Jiang, L., Zhang, X., Zhao, Y., Zhu, H., Fu, Q., Lu, X., … Du, Y. (2024). Phytoalexin sakuranetin attenuates endocytosis and enhances resistance to rice blast. <i>Nature Communications</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41467-024-47746-y\">https://doi.org/10.1038/s41467-024-47746-y</a>","short":"L. Jiang, X. Zhang, Y. Zhao, H. Zhu, Q. Fu, X. Lu, W. Huang, X. Yang, X. Zhou, L. Wu, A. Yang, X. He, M. Dong, Z. Peng, J. Yang, L. Guo, J. Wen, H. Huang, Y. Xie, S. Zhu, C. Li, X. He, Y. Zhu, J. Friml, Y. Du, Nature Communications 15 (2024).","ieee":"L. Jiang <i>et al.</i>, “Phytoalexin sakuranetin attenuates endocytosis and enhances resistance to rice blast,” <i>Nature Communications</i>, vol. 15. Springer Nature, 2024.","ista":"Jiang L, Zhang X, Zhao Y, Zhu H, Fu Q, Lu X, Huang W, Yang X, Zhou X, Wu L, Yang A, He X, Dong M, Peng Z, Yang J, Guo L, Wen J, Huang H, Xie Y, Zhu S, Li C, He X, Zhu Y, Friml J, Du Y. 2024. Phytoalexin sakuranetin attenuates endocytosis and enhances resistance to rice blast. Nature Communications. 15, 3437.","ama":"Jiang L, Zhang X, Zhao Y, et al. Phytoalexin sakuranetin attenuates endocytosis and enhances resistance to rice blast. <i>Nature Communications</i>. 2024;15. doi:<a href=\"https://doi.org/10.1038/s41467-024-47746-y\">10.1038/s41467-024-47746-y</a>","mla":"Jiang, Lihui, et al. “Phytoalexin Sakuranetin Attenuates Endocytosis and Enhances Resistance to Rice Blast.” <i>Nature Communications</i>, vol. 15, 3437, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1038/s41467-024-47746-y\">10.1038/s41467-024-47746-y</a>."},"researchdata_availability":"yes (supplementary data)","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"year":"2024","volume":15,"doi":"10.1038/s41467-024-47746-y","oa_version":"Published Version","publication":"Nature Communications","intvolume":"        15","file_date_updated":"2024-06-03T12:05:10Z","related_material":{"record":[{"relation":"used_in_publication","id":"22776","status":"public"},{"relation":"research_data","id":"23039","status":"public"}]},"das_tickbox":"1","oa":1,"file":[{"relation":"main_file","file_size":8013695,"checksum":"80cb2f2c538e81064f4836b54bc313ca","content_type":"application/pdf","date_created":"2024-06-03T12:05:10Z","access_level":"open_access","date_updated":"2024-06-03T12:05:10Z","file_id":"17110","success":1,"file_name":"2024_NatureComm_Jiang.pdf","creator":"dernst"}],"isi":1,"date_updated":"2026-10-02T12:32:10Z","date_created":"2024-06-03T08:54:50Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_type":"original","department":[{"_id":"JiFr"}],"DOAJ_listed":"1","_id":"17103","month":"04","dataavailabilitystatement":"All data supporting the findings of this study are available within the paper, its Supplementary Information file, and the Source Data file. The LC-MS/MS data and microscopy data have been deposited at the public repository figshare with the dataset identifier SeRrbJ609 [https://doi.org/10.6084/m9.figshare.25448191.v3]. Original data points in graphs and qPCR data are shown in the Source Data files. Source data are provided with this paper.","day":"23","type":"journal_article","article_processing_charge":"Yes","article_number":"3437","supplementarymaterial":"yes","publication_identifier":{"eissn":["2041-1723"]},"scopus_import":"1","author":[{"last_name":"Jiang","full_name":"Jiang, Lihui","first_name":"Lihui"},{"full_name":"Zhang, Xiaoyan","first_name":"Xiaoyan","last_name":"Zhang"},{"last_name":"Zhao","first_name":"Yiting","full_name":"Zhao, Yiting"},{"first_name":"Haiyan","full_name":"Zhu, Haiyan","last_name":"Zhu"},{"first_name":"Qijing","full_name":"Fu, Qijing","last_name":"Fu"},{"first_name":"Xinqi","full_name":"Lu, Xinqi","last_name":"Lu"},{"last_name":"Huang","full_name":"Huang, Wuying","first_name":"Wuying"},{"first_name":"Xinyue","full_name":"Yang, Xinyue","last_name":"Yang"},{"last_name":"Zhou","first_name":"Xuan","full_name":"Zhou, Xuan"},{"first_name":"Lixia","full_name":"Wu, Lixia","last_name":"Wu"},{"last_name":"Yang","first_name":"Ao","full_name":"Yang, Ao"},{"first_name":"Xie","full_name":"He, Xie","last_name":"He"},{"last_name":"Dong","full_name":"Dong, Man","first_name":"Man"},{"last_name":"Peng","full_name":"Peng, Ziai","first_name":"Ziai"},{"full_name":"Yang, Jing","first_name":"Jing","last_name":"Yang"},{"last_name":"Guo","first_name":"Liwei","full_name":"Guo, Liwei"},{"last_name":"Wen","full_name":"Wen, Jiancheng","first_name":"Jiancheng"},{"last_name":"Huang","full_name":"Huang, Huichuan","first_name":"Huichuan"},{"first_name":"Yong","full_name":"Xie, Yong","last_name":"Xie"},{"full_name":"Zhu, Shusheng","first_name":"Shusheng","last_name":"Zhu"},{"full_name":"Li, Chengyun","first_name":"Chengyun","last_name":"Li"},{"last_name":"He","first_name":"Xiahong","full_name":"He, Xiahong"},{"last_name":"Zhu","full_name":"Zhu, Youyong","first_name":"Youyong"},{"first_name":"Jiří","id":"4159519E-F248-11E8-B48F-1D18A9856A87","full_name":"Friml, Jiří","orcid":"0000-0002-8302-7596","last_name":"Friml"},{"full_name":"Du, Yunlong","first_name":"Yunlong","last_name":"Du"}],"pmid":1,"external_id":{"pmid":["38653755"],"isi":["001207290500013"]},"date_published":"2024-04-23T00:00:00Z","language":[{"iso":"eng"}],"has_accepted_license":"1","fulldoi":"https://doi.org/10.1038/s41467-024-47746-y","ddc":["580"]},{"day":"21","type":"journal_article","article_processing_charge":"Yes","corr_author":"1","supplementarymaterial":"no","scopus_import":"1","publication_identifier":{"issn":["2050-084X"]},"author":[{"orcid":"0000-0001-6463-5257","last_name":"Adamowski","full_name":"Adamowski, Maciek","first_name":"Maciek","id":"45F536D2-F248-11E8-B48F-1D18A9856A87"},{"id":"83c17ce3-15b2-11ec-abd3-f486545870bd","first_name":"Ivana","full_name":"Matijevic, Ivana","last_name":"Matijevic"},{"orcid":"0000-0002-8302-7596","last_name":"Friml","full_name":"Friml, Jiří","id":"4159519E-F248-11E8-B48F-1D18A9856A87","first_name":"Jiří"}],"pmid":1,"date_published":"2024-02-21T00:00:00Z","external_id":{"pmid":["38381485"],"isi":["001174278000001"]},"keyword":["General Immunology and Microbiology","General Biochemistry","Genetics and Molecular Biology","General Medicine","General Neuroscience"],"language":[{"iso":"eng"}],"has_accepted_license":"1","ddc":["580"],"fulldoi":"https://doi.org/10.7554/elife.68993","quality_controlled":"1","status":"public","publisher":"eLife Sciences Publications","project":[{"name":"Tracing Evolution of Auxin Transport and Polarity in Plants","_id":"261099A6-B435-11E9-9278-68D0E5697425","grant_number":"742985","call_identifier":"H2020"},{"grant_number":"I03630","_id":"26538374-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Molecular mechanisms of endocytic cargo recognition in plants"},{"name":"FWF Open Access Fund","_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","call_identifier":"FWF"}],"acknowledgement":"The authors would like to gratefully acknowledge Dr Xixi Zhang for cloning the GNL1/pDONR221 construct and for useful discussions.H2020 European Research Council Advanced Grant ETAP742985 to Jiří Friml, Austrian Science Fund I 3630-B25 to Jiří Friml","title":"Developmental patterning function of GNOM ARF-GEF mediated from the cell periphery","abstract":[{"text":"The GNOM (GN) Guanine nucleotide Exchange Factor for ARF small GTPases (ARF-GEF) is among the best studied trafficking regulators in plants, playing crucial and unique developmental roles in patterning and polarity. The current models place GN at the Golgi apparatus (GA), where it mediates secretion/recycling, and at the plasma membrane (PM) presumably contributing to clathrin-mediated endocytosis (CME). The mechanistic basis of the developmental function of GN, distinct from the other ARF-GEFs including its closest homologue GNOM-LIKE1 (GNL1), remains elusive. Insights from this study largely extend the current notions of GN function. We show that GN, but not GNL1, localizes to the cell periphery at long-lived structures distinct from clathrin-coated pits, while CME and secretion proceed normally in <jats:italic>gn</jats:italic> knockouts. The functional GN mutant variant GN<jats:sup>fewerroots</jats:sup>, absent from the GA, suggests that the cell periphery is the major site of GN action responsible for its developmental function. Following inhibition by Brefeldin A, GN, but not GNL1, relocates to the PM likely on exocytic vesicles, suggesting selective molecular associations en route to the cell periphery. A study of GN-GNL1 chimeric ARF-GEFs indicates that all GN domains contribute to the specific GN function in a partially redundant manner. Together, this study offers significant steps toward the elucidation of the mechanism underlying unique cellular and development functions of GNOM.","lang":"eng"}],"publication_status":"published","OA_place":"publisher","citation":{"ista":"Adamowski M, Matijevic I, Friml J. 2024. Developmental patterning function of GNOM ARF-GEF mediated from the cell periphery. eLife. 13.","mla":"Adamowski, Maciek, et al. “Developmental Patterning Function of GNOM ARF-GEF Mediated from the Cell Periphery.” <i>ELife</i>, vol. 13, eLife Sciences Publications, 2024, doi:<a href=\"https://doi.org/10.7554/elife.68993\">10.7554/elife.68993</a>.","ama":"Adamowski M, Matijevic I, Friml J. Developmental patterning function of GNOM ARF-GEF mediated from the cell periphery. <i>eLife</i>. 2024;13. doi:<a href=\"https://doi.org/10.7554/elife.68993\">10.7554/elife.68993</a>","apa":"Adamowski, M., Matijevic, I., &#38; Friml, J. (2024). Developmental patterning function of GNOM ARF-GEF mediated from the cell periphery. <i>ELife</i>. eLife Sciences Publications. <a href=\"https://doi.org/10.7554/elife.68993\">https://doi.org/10.7554/elife.68993</a>","chicago":"Adamowski, Maciek, Ivana Matijevic, and Jiří Friml. “Developmental Patterning Function of GNOM ARF-GEF Mediated from the Cell Periphery.” <i>ELife</i>. eLife Sciences Publications, 2024. <a href=\"https://doi.org/10.7554/elife.68993\">https://doi.org/10.7554/elife.68993</a>.","ieee":"M. Adamowski, I. Matijevic, and J. Friml, “Developmental patterning function of GNOM ARF-GEF mediated from the cell periphery,” <i>eLife</i>, vol. 13. eLife Sciences Publications, 2024.","short":"M. Adamowski, I. Matijevic, J. Friml, ELife 13 (2024)."},"year":"2024","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"researchdata_availability":"yes (supplementary data)","volume":13,"doi":"10.7554/elife.68993","OA_type":"gold","publication":"eLife","oa_version":"Published Version","file_date_updated":"2024-07-22T11:51:50Z","intvolume":"        13","das_tickbox":"1","file":[{"date_created":"2024-07-22T11:51:50Z","content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"b2b2d583b433823af731842f1420113e","file_size":15675744,"file_name":"2024_eLife_Adamowski.pdf","creator":"dernst","success":1,"file_id":"17310","date_updated":"2024-07-22T11:51:50Z"}],"date_updated":"2026-10-15T08:07:21Z","isi":1,"oa":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_created":"2024-02-27T07:10:11Z","department":[{"_id":"JiFr"}],"APC_amount":"2792,52 EUR","article_type":"original","ec_funded":1,"_id":"15033","DOAJ_listed":"1","dataavailabilitystatement":"All data generated or analysed during this study are included in the manuscript and supporting files. No additional source files were provided.","month":"02"}]