[{"publisher":"Taylor & Francis","type":"journal_article","page":"1269-1272","publication_identifier":{"eissn":["1746-0921"],"issn":["1746-0913"]},"isi":1,"pmid":1,"article_type":"letter_note","date_updated":"2026-10-02T12:01:31Z","supplementarymaterial":"no","oa":1,"main_file_link":[{"url":"https://doi.org/10.1080/17460913.2024.2389720","open_access":"1"}],"issue":"15","date_created":"2024-09-05T07:32:00Z","has_accepted_license":"1","acknowledgement":"I would like to thank K Kiernan for insightful comments and feedback. J P K Bravo is supported by IST Austria.","das_tickbox":"0","publication":"Future Microbiology","volume":19,"oa_version":"Published Version","corr_author":"1","author":[{"first_name":"Jack Peter Kelly","full_name":"Bravo, Jack Peter Kelly","id":"96aecfa5-8931-11ee-af30-aa6a5d6eee0e","orcid":"0000-0003-0456-0753","last_name":"Bravo"}],"_id":"17494","quality_controlled":"1","status":"public","doi":"10.1080/17460913.2024.2389720","intvolume":"        19","fulldoi":"https://doi.org/10.1080/17460913.2024.2389720","ddc":["570"],"external_id":{"isi":["001306115400001"],"pmid":["39230568"]},"scopus_import":"1","OA_place":"publisher","article_processing_charge":"No","OA_type":"free access","day":"01","language":[{"iso":"eng"}],"department":[{"_id":"JaBr"}],"publication_status":"published","year":"2024","citation":{"mla":"Bravo, Jack Peter Kelly. “Anti-Plasmid Immunity: A Key to Pathogen Success?” <i>Future Microbiology</i>, vol. 19, no. 15, Taylor &#38; Francis, 2024, pp. 1269–72, doi:<a href=\"https://doi.org/10.1080/17460913.2024.2389720\">10.1080/17460913.2024.2389720</a>.","ista":"Bravo JPK. 2024. Anti-plasmid immunity: A key to pathogen success? Future Microbiology. 19(15), 1269–1272.","ieee":"J. P. K. Bravo, “Anti-plasmid immunity: A key to pathogen success?,” <i>Future Microbiology</i>, vol. 19, no. 15. Taylor &#38; Francis, pp. 1269–1272, 2024.","short":"J.P.K. Bravo, Future Microbiology 19 (2024) 1269–1272.","apa":"Bravo, J. P. K. (2024). Anti-plasmid immunity: A key to pathogen success? <i>Future Microbiology</i>. Taylor &#38; Francis. <a href=\"https://doi.org/10.1080/17460913.2024.2389720\">https://doi.org/10.1080/17460913.2024.2389720</a>","ama":"Bravo JPK. Anti-plasmid immunity: A key to pathogen success? <i>Future Microbiology</i>. 2024;19(15):1269-1272. doi:<a href=\"https://doi.org/10.1080/17460913.2024.2389720\">10.1080/17460913.2024.2389720</a>","chicago":"Bravo, Jack Peter Kelly. “Anti-Plasmid Immunity: A Key to Pathogen Success?” <i>Future Microbiology</i>. Taylor &#38; Francis, 2024. <a href=\"https://doi.org/10.1080/17460913.2024.2389720\">https://doi.org/10.1080/17460913.2024.2389720</a>."},"title":"Anti-plasmid immunity: A key to pathogen success?","month":"10","researchdata_availability":"no","date_published":"2024-10-01T00:00:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345"},{"acknowledgement":"The research of A.V. is supported by NSF DMS-1900286, DMS-2154402 and by Hausdorff Center for Mathematics. H.Z. is supported by the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337. This work is partially supported by NSF DMS-1929284 while both authors were in residence at the Institute for Computational and Experimental Research in Mathematics in Providence, RI, during the Harmonic Analysis and Convexity program.","has_accepted_license":"1","publication":"Mathematische Annalen","das_tickbox":"1","volume":389,"date_created":"2023-07-30T22:01:03Z","dataavailabilitystatement":"All data generated or analysed during this study are included in this article.","oa":1,"date_updated":"2026-10-02T12:12:33Z","supplementarymaterial":"no","article_type":"original","file":[{"content_type":"application/pdf","file_size":351796,"access_level":"open_access","success":1,"creator":"dernst","relation":"main_file","checksum":"56e67756e4c6c97589a8385e15ea2d2a","date_updated":"2024-07-22T09:38:15Z","file_id":"17299","file_name":"2024_MathAnnalen_Volberg.pdf","date_created":"2024-07-22T09:38:15Z"}],"isi":1,"publication_identifier":{"eissn":["1432-1807"],"issn":["0025-5831"]},"pmid":1,"publisher":"Springer Nature","type":"journal_article","page":"1657-1676","title":"Noncommutative Bohnenblust–Hille inequalities","month":"06","citation":{"ieee":"A. Volberg and H. Zhang, “Noncommutative Bohnenblust–Hille inequalities,” <i>Mathematische Annalen</i>, vol. 389. Springer Nature, pp. 1657–1676, 2024.","short":"A. Volberg, H. Zhang, Mathematische Annalen 389 (2024) 1657–1676.","apa":"Volberg, A., &#38; Zhang, H. (2024). Noncommutative Bohnenblust–Hille inequalities. <i>Mathematische Annalen</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00208-023-02680-0\">https://doi.org/10.1007/s00208-023-02680-0</a>","ama":"Volberg A, Zhang H. Noncommutative Bohnenblust–Hille inequalities. <i>Mathematische Annalen</i>. 2024;389:1657-1676. doi:<a href=\"https://doi.org/10.1007/s00208-023-02680-0\">10.1007/s00208-023-02680-0</a>","chicago":"Volberg, Alexander, and Haonan Zhang. “Noncommutative Bohnenblust–Hille Inequalities.” <i>Mathematische Annalen</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00208-023-02680-0\">https://doi.org/10.1007/s00208-023-02680-0</a>.","ista":"Volberg A, Zhang H. 2024. Noncommutative Bohnenblust–Hille inequalities. Mathematische Annalen. 389, 1657–1676.","mla":"Volberg, Alexander, and Haonan Zhang. “Noncommutative Bohnenblust–Hille Inequalities.” <i>Mathematische Annalen</i>, vol. 389, Springer Nature, 2024, pp. 1657–76, doi:<a href=\"https://doi.org/10.1007/s00208-023-02680-0\">10.1007/s00208-023-02680-0</a>."},"abstract":[{"text":"Bohnenblust–Hille inequalities for Boolean cubes have been proven with dimension-free constants that grow subexponentially in the degree (Defant et al. in Math Ann 374(1):653–680, 2019). Such inequalities have found great applications in learning low-degree Boolean functions (Eskenazis and Ivanisvili in Proceedings of the 54th annual ACM SIGACT symposium on theory of computing, pp 203–207, 2022). Motivated by learning quantum observables, a qubit analogue of Bohnenblust–Hille inequality for Boolean cubes was recently conjectured in Rouzé et al. (Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum Boolean functions, 2022. arXiv preprint arXiv:2209.07279). The conjecture was resolved in Huang et al. (Learning to predict arbitrary quantum processes, 2022. arXiv preprint arXiv:2210.14894). In this paper, we give a new proof of these Bohnenblust–Hille inequalities for qubit system with constants that are dimension-free and of exponential growth in the degree. As a consequence, we obtain a junta theorem for low-degree polynomials. Using similar ideas, we also study learning problems of low degree quantum observables and Bohr’s radius phenomenon on quantum Boolean cubes.","lang":"eng"}],"researchdata_availability":"yes","date_published":"2024-06-01T00:00:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","year":"2024","department":[{"_id":"JaMa"}],"file_date_updated":"2024-07-22T09:38:15Z","publication_status":"published","project":[{"name":"Curvature-dimension in noncommutative analysis","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6","grant_number":"M03337"}],"day":"01","language":[{"iso":"eng"}],"scopus_import":"1","arxiv":1,"article_processing_charge":"Yes (in subscription journal)","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)"},"external_id":{"isi":["001035665500001"],"pmid":["38751410"],"arxiv":["2210.14468"]},"fulldoi":"https://doi.org/10.1007/s00208-023-02680-0","ddc":["510"],"oa_version":"Published Version","corr_author":"1","_id":"13318","quality_controlled":"1","author":[{"last_name":"Volberg","first_name":"Alexander","full_name":"Volberg, Alexander"},{"full_name":"Zhang, Haonan","first_name":"Haonan","last_name":"Zhang","orcid":"0000-0001-9537-9663","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425"}],"status":"public","doi":"10.1007/s00208-023-02680-0","intvolume":"       389"},{"dataavailabilitystatement":"Data sharing not applicable to this article as no datasets were generated or analysed during the current study.","oa":1,"issue":"6","date_created":"2024-07-21T22:01:01Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).J. M. gratefully acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 716117), and by the Austrian Science Fund (FWF), Project SFB F65. We thank the anonymous referee for valuable comments on the paper.","has_accepted_license":"1","publication":"Calculus of Variations and Partial Differential Equations","das_tickbox":"1","volume":63,"ec_funded":1,"publisher":"Springer Nature","type":"journal_article","isi":1,"publication_identifier":{"eissn":["1432-0835"],"issn":["0944-2669"]},"pmid":1,"article_type":"original","file":[{"file_size":416622,"content_type":"application/pdf","success":1,"access_level":"open_access","relation":"main_file","creator":"dernst","checksum":"a0cf0e0ba2157aabb287cb597be17dac","date_updated":"2024-07-22T07:05:32Z","file_id":"17289","file_name":"2024_CalculusVariations_Brooks.pdf","date_created":"2024-07-22T07:05:32Z"}],"date_updated":"2026-10-02T12:14:17Z","supplementarymaterial":"no","project":[{"call_identifier":"H2020","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504"}],"day":"01","language":[{"iso":"eng"}],"department":[{"_id":"JaMa"}],"file_date_updated":"2024-07-22T07:05:32Z","publication_status":"published","year":"2024","month":"07","title":"Characterisation of gradient flows for a given functional","citation":{"ista":"Brooks M, Maas J. 2024. Characterisation of gradient flows for a given functional. Calculus of Variations and Partial Differential Equations. 63(6), 153.","mla":"Brooks, Morris, and Jan Maas. “Characterisation of Gradient Flows for a given Functional.” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 63, no. 6, 153, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s00526-024-02755-z\">10.1007/s00526-024-02755-z</a>.","chicago":"Brooks, Morris, and Jan Maas. “Characterisation of Gradient Flows for a given Functional.” <i>Calculus of Variations and Partial Differential Equations</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00526-024-02755-z\">https://doi.org/10.1007/s00526-024-02755-z</a>.","ama":"Brooks M, Maas J. Characterisation of gradient flows for a given functional. <i>Calculus of Variations and Partial Differential Equations</i>. 2024;63(6). doi:<a href=\"https://doi.org/10.1007/s00526-024-02755-z\">10.1007/s00526-024-02755-z</a>","short":"M. Brooks, J. Maas, Calculus of Variations and Partial Differential Equations 63 (2024).","apa":"Brooks, M., &#38; Maas, J. (2024). Characterisation of gradient flows for a given functional. <i>Calculus of Variations and Partial Differential Equations</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00526-024-02755-z\">https://doi.org/10.1007/s00526-024-02755-z</a>","ieee":"M. Brooks and J. Maas, “Characterisation of gradient flows for a given functional,” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 63, no. 6. Springer Nature, 2024."},"abstract":[{"text":"Let  X  be a vector field and  Y  be a co-vector field on a smooth manifold  M. Does there exist a smooth Riemannian metric  gαβ  on  M  such that  Yβ=gαβXα ? The main result of this note gives necessary and sufficient conditions for this to be true. As an application of this result we show that a finite-dimensional ergodic Lindblad equation admits a gradient flow structure for the von Neumann relative entropy if and only if the condition of BKM-detailed balance holds.","lang":"eng"}],"date_published":"2024-07-01T00:00:00Z","researchdata_availability":"not applicable","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa_version":"Published Version","corr_author":"1","quality_controlled":"1","_id":"17282","status":"public","author":[{"first_name":"Morris","full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928","last_name":"Brooks"},{"first_name":"Jan","full_name":"Maas, Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0845-1338","last_name":"Maas"}],"intvolume":"        63","doi":"10.1007/s00526-024-02755-z","fulldoi":"https://doi.org/10.1007/s00526-024-02755-z","ddc":["510"],"article_number":"153","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)"},"external_id":{"isi":["001258097800003"],"pmid":["38947856"],"arxiv":["2209.11149"]},"scopus_import":"1","arxiv":1,"article_processing_charge":"Yes (via OA deal)"},{"month":"06","title":"Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces","citation":{"chicago":"Dello Schiavo, Lorenzo, Jan Maas, and Francesco Pedrotti. “Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces.” <i>Transactions of the American Mathematical Society</i>. American Mathematical Society, 2024. <a href=\"https://doi.org/10.1090/tran/9156\">https://doi.org/10.1090/tran/9156</a>.","ama":"Dello Schiavo L, Maas J, Pedrotti F. Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces. <i>Transactions of the American Mathematical Society</i>. 2024;377(6):3779-3804. doi:<a href=\"https://doi.org/10.1090/tran/9156\">10.1090/tran/9156</a>","short":"L. Dello Schiavo, J. Maas, F. Pedrotti, Transactions of the American Mathematical Society 377 (2024) 3779–3804.","ieee":"L. Dello Schiavo, J. Maas, and F. Pedrotti, “Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces,” <i>Transactions of the American Mathematical Society</i>, vol. 377, no. 6. American Mathematical Society, pp. 3779–3804, 2024.","apa":"Dello Schiavo, L., Maas, J., &#38; Pedrotti, F. (2024). Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces. <i>Transactions of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/tran/9156\">https://doi.org/10.1090/tran/9156</a>","mla":"Dello Schiavo, Lorenzo, et al. “Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces.” <i>Transactions of the American Mathematical Society</i>, vol. 377, no. 6, American Mathematical Society, 2024, pp. 3779–804, doi:<a href=\"https://doi.org/10.1090/tran/9156\">10.1090/tran/9156</a>.","ista":"Dello Schiavo L, Maas J, Pedrotti F. 2024. Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces. Transactions of the American Mathematical Society. 377(6), 3779–3804."},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","researchdata_availability":"no","date_published":"2024-06-01T00:00:00Z","abstract":[{"text":"This paper deals with local criteria for the convergence to a global minimiser for gradient flow trajectories and their discretisations. To obtain quantitative estimates on the speed of convergence, we consider variations on the classical Kurdyka–Łojasiewicz inequality for a large class of parameter functions. Our assumptions are given in terms of the initial data, without any reference to an equilibrium point. The main results are convergence statements for gradient flow curves and proximal point sequences to a global minimiser, together with sharp quantitative estimates on the speed of convergence. These convergence results apply in the general setting of lower semicontinuous functionals on complete metric spaces, generalising recent results for smooth functionals on Rn. While the non-smooth setting covers very general spaces, it is also useful for (non)-smooth functionals on Rn.\r\n.","lang":"eng"}],"year":"2024","department":[{"_id":"JaMa"}],"publication_status":"published","language":[{"iso":"eng"}],"day":"01","project":[{"name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"716117"},{"name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504"},{"name":"Configuration Spaces over Non-Smooth Spaces","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","grant_number":"E208"}],"scopus_import":"1","article_processing_charge":"No","arxiv":1,"external_id":{"isi":["001203273300001"],"arxiv":["2304.05239"]},"fulldoi":"https://doi.org/10.1090/tran/9156","oa_version":"Preprint","doi":"10.1090/tran/9156","intvolume":"       377","_id":"17143","quality_controlled":"1","status":"public","author":[{"id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","orcid":"0000-0002-9881-6870","last_name":"Dello Schiavo","first_name":"Lorenzo","full_name":"Dello Schiavo, Lorenzo"},{"full_name":"Maas, Jan","first_name":"Jan","last_name":"Maas","orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Francesco","full_name":"Pedrotti, Francesco","id":"d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c","last_name":"Pedrotti"}],"das_tickbox":"0","publication":"Transactions of the American Mathematical Society","acknowledgement":"The authors gratefully acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 716117). This research was funded in part by the Austrian Science Fund (FWF) project 10.55776/ESP208. This research was funded in part by the Austrian Science Fund (FWF) project 10.55776/F65","ec_funded":1,"volume":377,"date_created":"2024-06-16T22:01:06Z","issue":"6","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2304.05239"}],"oa":1,"date_updated":"2026-10-02T12:13:16Z","supplementarymaterial":"yes","article_type":"original","publication_identifier":{"eissn":["1088-6850"],"issn":["0002-9947"]},"isi":1,"type":"journal_article","publisher":"American Mathematical Society","related_material":{"record":[{"id":"17336","status":"public","relation":"dissertation_contains"}]},"page":"3779-3804"},{"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-04-01T00:00:00Z","researchdata_availability":"no","abstract":[{"lang":"eng","text":"In this paper, we prove the convexity of trace functionals (A,B,C)↦Tr|BpACq|s,\r\nfor parameters (p, q, s) that are best possible, where B and C are any n-by-n positive-definite matrices, and A is any n-by-n matrix. We also obtain the monotonicity versions of trace functionals of this type. As applications, we extend some results in Carlen et al. (Linear Algebra Appl 490:174–185, 2016), Hiai and Petz (Publ Res Inst Math Sci 48(3):525-542, 2012) and resolve a conjecture in Al-Rashed and Zegarliński (Infin Dimens Anal Quantum Probab Relat Top 17(4):1450029, 2014) in the matrix setting. Other conjectures in Al-Rashed and Zegarliński (Infin Dimens Anal Quantum Probab Relat Top 17(4):1450029, 2014) will also be discussed. We also show that some related trace functionals are not concave in general. Such concavity results were expected to hold in different problems."}],"title":"Some convexity and monotonicity results of trace functionals","citation":{"ama":"Zhang H. Some convexity and monotonicity results of trace functionals. <i>Annales Henri Poincare</i>. 2024;25:2087-2106. doi:<a href=\"https://doi.org/10.1007/s00023-023-01345-7\">10.1007/s00023-023-01345-7</a>","chicago":"Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.” <i>Annales Henri Poincare</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00023-023-01345-7\">https://doi.org/10.1007/s00023-023-01345-7</a>.","ieee":"H. Zhang, “Some convexity and monotonicity results of trace functionals,” <i>Annales Henri Poincare</i>, vol. 25. Springer Nature, pp. 2087–2106, 2024.","short":"H. Zhang, Annales Henri Poincare 25 (2024) 2087–2106.","apa":"Zhang, H. (2024). Some convexity and monotonicity results of trace functionals. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-023-01345-7\">https://doi.org/10.1007/s00023-023-01345-7</a>","ista":"Zhang H. 2024. Some convexity and monotonicity results of trace functionals. Annales Henri Poincare. 25, 2087–2106.","mla":"Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.” <i>Annales Henri Poincare</i>, vol. 25, Springer Nature, 2024, pp. 2087–106, doi:<a href=\"https://doi.org/10.1007/s00023-023-01345-7\">10.1007/s00023-023-01345-7</a>."},"month":"04","year":"2024","publication_status":"published","department":[{"_id":"JaMa"}],"day":"01","language":[{"iso":"eng"}],"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411"},{"grant_number":"M03337","name":"Curvature-dimension in noncommutative analysis","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6"}],"article_processing_charge":"No","arxiv":1,"scopus_import":"1","external_id":{"arxiv":["2108.05785"],"isi":["001025709100001"]},"fulldoi":"https://doi.org/10.1007/s00023-023-01345-7","intvolume":"        25","doi":"10.1007/s00023-023-01345-7","_id":"13271","author":[{"id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","orcid":"0000-0001-9537-9663","last_name":"Zhang","first_name":"Haonan","full_name":"Zhang, Haonan"}],"quality_controlled":"1","status":"public","corr_author":"1","oa_version":"Preprint","ec_funded":1,"volume":25,"publication":"Annales Henri Poincare","das_tickbox":"0","acknowledgement":"I am grateful to Boguslaw Zegarliński for asking me the questions in [3] and for helpful communication. I also want to thank Paata Ivanisvili for drawing [25] to my attention and for useful correspondence. Many thanks to the anonymous referee for the valuable comments and for pointing out some errors in an earlier version of the paper. This work is partially supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754411 and the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337.","date_created":"2023-07-23T22:01:15Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2108.05785","open_access":"1"}],"oa":1,"supplementarymaterial":"no","date_updated":"2026-10-02T12:11:07Z","article_type":"original","publication_identifier":{"issn":["1424-0637"]},"isi":1,"page":"2087-2106","type":"journal_article","publisher":"Springer Nature"},{"article_type":"original","date_updated":"2026-10-02T12:15:11Z","supplementarymaterial":"no","publisher":"Udruga Matematicara Osijek","type":"journal_article","page":"137-142","publication_identifier":{"eissn":["1848-8013"],"issn":["1331-0623"]},"issue":"1","date_created":"2024-03-31T22:01:12Z","acknowledgement":"The author gratefully acknowledges funding of his current position by the Austrian Science\r\nFund (FWF), grant ESPRIT208. He is grateful to Enrico Pasqualetto for pointing out some\r\nreferences on maps of bounded compression.","publication":"Mathematical Communications","das_tickbox":"0","volume":29,"oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2304.11348"}],"external_id":{"arxiv":["2304.11348"]},"scopus_import":"1","arxiv":1,"article_processing_charge":"No","oa_version":"Preprint","corr_author":"1","status":"public","_id":"15252","author":[{"first_name":"Lorenzo","full_name":"Dello Schiavo, Lorenzo","orcid":"0000-0002-9881-6870","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","last_name":"Dello Schiavo"}],"quality_controlled":"1","intvolume":"        29","year":"2024","citation":{"mla":"Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.” <i>Mathematical Communications</i>, vol. 29, no. 1, Udruga Matematicara Osijek, 2024, pp. 137–42.","ista":"Dello Schiavo L. 2024. A characterization of maps of bounded compression. Mathematical Communications. 29(1), 137–142.","ama":"Dello Schiavo L. A characterization of maps of bounded compression. <i>Mathematical Communications</i>. 2024;29(1):137-142.","chicago":"Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.” <i>Mathematical Communications</i>. Udruga Matematicara Osijek, 2024.","short":"L. Dello Schiavo, Mathematical Communications 29 (2024) 137–142.","ieee":"L. Dello Schiavo, “A characterization of maps of bounded compression,” <i>Mathematical Communications</i>, vol. 29, no. 1. Udruga Matematicara Osijek, pp. 137–142, 2024.","apa":"Dello Schiavo, L. (2024). A characterization of maps of bounded compression. <i>Mathematical Communications</i>. Udruga Matematicara Osijek."},"title":"A characterization of maps of bounded compression","month":"01","researchdata_availability":"no","abstract":[{"lang":"eng","text":"A measurable map between measure spaces is shown to have bounded compression if and only if its image via the measure-algebra functor is Lipschitz-continuous w.r.t. the measure-algebra distances. This provides a natural interpretation of maps of bounded compression/deformation by means of the measure-algebra functor and corrobo-rates the assertion that maps of bounded deformation are a natural class of morphisms for the category of complete and separable metric measure spaces."}],"date_published":"2024-01-01T00:00:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","project":[{"name":"Configuration Spaces over Non-Smooth Spaces","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","grant_number":"E208"}],"day":"01","language":[{"iso":"eng"}],"department":[{"_id":"JaMa"}],"publication_status":"published"},{"volume":110,"ec_funded":1,"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.","has_accepted_license":"1","das_tickbox":"0","publication":"Journal of the London Mathematical Society","issue":"5","date_created":"2024-11-03T23:01:44Z","oa":1,"supplementarymaterial":"no","date_updated":"2026-10-02T12:17:50Z","file":[{"date_updated":"2024-11-04T08:54:26Z","file_id":"18497","file_name":"2024_JourLondonMathSoc_Schiavo.pdf","date_created":"2024-11-04T08:54:26Z","content_type":"application/pdf","file_size":911476,"success":1,"access_level":"open_access","relation":"main_file","creator":"dernst","checksum":"143816823b5f43bd3748da8e3e91cef5"}],"article_type":"original","isi":1,"publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"publisher":"London Mathematical Society","type":"journal_article","abstract":[{"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. ","lang":"eng"}],"date_published":"2024-11-01T00:00:00Z","researchdata_availability":"not applicable","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"11","title":"Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension","citation":{"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).","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>","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>.","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>"},"year":"2024","publication_status":"published","department":[{"_id":"JaMa"}],"file_date_updated":"2024-11-04T08:54:26Z","project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020","grant_number":"716117"},{"name":"Configuration Spaces over Non-Smooth Spaces","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","grant_number":"E208"},{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"language":[{"iso":"eng"}],"day":"01","OA_type":"hybrid","OA_place":"publisher","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","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)"},"article_number":"e70003","external_id":{"isi":["001351918100029"]},"ddc":["510"],"fulldoi":"https://doi.org/10.1112/jlms.70003","_id":"18490","author":[{"full_name":"Dello Schiavo, Lorenzo","first_name":"Lorenzo","last_name":"Dello Schiavo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","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"}],"status":"public","quality_controlled":"1","doi":"10.1112/jlms.70003","intvolume":"       110","oa_version":"Published Version"},{"article_number":"95","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)"},"external_id":{"arxiv":["2209.07279"],"pmid":["38606337"],"isi":["001199509500004"]},"scopus_import":"1","arxiv":1,"article_processing_charge":"Yes (via OA deal)","oa_version":"Published Version","corr_author":"1","_id":"15350","status":"public","quality_controlled":"1","author":[{"last_name":"Rouzé","full_name":"Rouzé, Cambyse","first_name":"Cambyse"},{"last_name":"Wirth","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","orcid":"0000-0002-0519-4241","full_name":"Wirth, Melchior","first_name":"Melchior"},{"id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","orcid":"0000-0001-9537-9663","last_name":"Zhang","first_name":"Haonan","full_name":"Zhang, Haonan"}],"intvolume":"       405","doi":"10.1007/s00220-024-04981-0","fulldoi":"https://doi.org/10.1007/s00220-024-04981-0","ddc":["510"],"year":"2024","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>.","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).","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>.","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>"},"title":"Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum boolean functions","month":"04","researchdata_availability":"not applicable","date_published":"2024-04-09T00:00:00Z","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."}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","project":[{"grant_number":"M03337","name":"Curvature-dimension in noncommutative analysis","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6"},{"_id":"34c6ea2d-11ca-11ed-8bc3-c04f3c502833","name":"Gradient flow techniques for quantum Markov semigroups","grant_number":"ESP156_N"}],"day":"09","language":[{"iso":"eng"}],"department":[{"_id":"JaMa"}],"file_date_updated":"2024-05-06T06:18:45Z","publication_status":"published","article_type":"original","file":[{"date_created":"2024-05-06T06:18:45Z","date_updated":"2024-05-06T06:18:45Z","file_name":"2024_CommMathPhysics_Rouze.pdf","file_id":"15365","relation":"main_file","creator":"dernst","checksum":"8ecd168755f0d40ebd7cd0b71063acfc","file_size":653676,"content_type":"application/pdf","success":1,"access_level":"open_access"}],"date_updated":"2026-10-02T12:16:36Z","supplementarymaterial":"no","publisher":"Springer Nature","type":"journal_article","publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"isi":1,"pmid":1,"issue":"4","date_created":"2024-04-29T08:47:28Z","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.","has_accepted_license":"1","das_tickbox":"1","publication":"Communications in Mathematical Physics","volume":405,"dataavailabilitystatement":"No data was generated as part of this work.","oa":1},{"ddc":["510"],"fulldoi":"https://doi.org/10.5802/jep.270","doi":"10.5802/jep.270","intvolume":"        11","status":"public","_id":"18158","quality_controlled":"1","author":[{"orcid":"0000-0002-9881-6870","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","last_name":"Dello Schiavo","first_name":"Lorenzo","full_name":"Dello Schiavo, Lorenzo"},{"last_name":"Herry","full_name":"Herry, Ronan","first_name":"Ronan"},{"first_name":"Kohei","full_name":"Suzuki, Kohei","last_name":"Suzuki"}],"corr_author":"1","oa_version":"Published Version","article_processing_charge":"Yes","arxiv":1,"scopus_import":"1","external_id":{"isi":["001367254000003"],"arxiv":["2303.00398"]},"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)"},"publication_status":"published","file_date_updated":"2024-10-01T07:31:56Z","department":[{"_id":"JaMa"}],"language":[{"iso":"eng"}],"day":"01","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","researchdata_availability":"no","abstract":[{"lang":"eng","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":"fre","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."}],"date_published":"2024-01-01T00:00:00Z","title":"Wasserstein geometry and Ricci curvature bounds for Poisson spaces","citation":{"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>.","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.","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.","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>.","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>"},"month":"01","year":"2024","isi":1,"publication_identifier":{"eissn":["2270-518X"],"issn":["2429-7100"]},"page":"957-1010","type":"journal_article","publisher":"Ecole Polytechnique","supplementarymaterial":"no","date_updated":"2026-10-02T12:17:19Z","file":[{"date_created":"2024-10-01T07:31:56Z","file_id":"18164","file_name":"2024_JourEcolePolytechniqueMath_DelloSchiavo.pdf","date_updated":"2024-10-01T07:31:56Z","checksum":"5a51da5fb5f7fcaada378d43444cced8","creator":"dernst","relation":"main_file","access_level":"open_access","success":1,"file_size":1250553,"content_type":"application/pdf"}],"article_type":"original","oa":1,"volume":11,"publication":"Journal de l'Ecole Polytechnique - Mathematiques","das_tickbox":"0","has_accepted_license":"1","date_created":"2024-09-29T22:01:38Z"},{"type":"journal_article","publisher":"Springer Nature","page":"501-553","isi":1,"publication_identifier":{"issn":["0926-2601"],"eissn":["1572-929X"]},"article_type":"original","file":[{"date_created":"2025-01-09T08:13:34Z","file_id":"18789","file_name":"2024_PotentialAnalysis_DelloSchiavo.pdf","date_updated":"2025-01-09T08:13:34Z","checksum":"33c688bdf296c3d8f8bbd96c7dd26037","relation":"main_file","creator":"dernst","success":1,"access_level":"open_access","file_size":1294993,"content_type":"application/pdf"}],"date_updated":"2026-10-02T12:18:13Z","supplementarymaterial":"no","oa":1,"date_created":"2024-02-04T23:00:54Z","das_tickbox":"0","publication":"Potential Analysis","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.","has_accepted_license":"1","volume":61,"oa_version":"Published Version","doi":"10.1007/s11118-023-10118-0","intvolume":"        61","status":"public","_id":"14934","quality_controlled":"1","author":[{"full_name":"Dello Schiavo, Lorenzo","first_name":"Lorenzo","last_name":"Dello Schiavo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","orcid":"0000-0002-9881-6870"},{"last_name":"Kopfer","full_name":"Kopfer, Eva","first_name":"Eva"},{"full_name":"Sturm, Karl Theodor","first_name":"Karl Theodor","last_name":"Sturm"}],"fulldoi":"https://doi.org/10.1007/s11118-023-10118-0","ddc":["510"],"external_id":{"isi":["001151118800001"],"arxiv":["2012.06796"]},"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)"},"scopus_import":"1","OA_place":"publisher","article_processing_charge":"Yes (via OA deal)","arxiv":1,"OA_type":"hybrid","language":[{"iso":"eng"}],"day":"01","project":[{"name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504"}],"file_date_updated":"2025-01-09T08:13:34Z","department":[{"_id":"JaMa"}],"publication_status":"published","year":"2024","month":"10","title":"A discovery tour in random Riemannian geometry","citation":{"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>","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>.","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>","ista":"Dello Schiavo L, Kopfer E, Sturm KT. 2024. A discovery tour in random Riemannian geometry. Potential Analysis. 61, 501–553.","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>."},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","researchdata_availability":"no","date_published":"2024-10-01T00:00:00Z","abstract":[{"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.","lang":"eng"}]},{"article_type":"original","date_updated":"2026-10-02T12:15:34Z","supplementarymaterial":"no","type":"journal_article","publisher":"Institute of Mathematical Statistics","page":"1789-1845","publication_identifier":{"issn":["1050-5164"]},"isi":1,"date_created":"2024-04-14T22:01:02Z","issue":"2","das_tickbox":"0","publication":"Annals of Applied Probability","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.","ec_funded":1,"volume":34,"oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2112.14196"}],"external_id":{"arxiv":["2112.14196"],"isi":["001198623200016"]},"scopus_import":"1","article_processing_charge":"No","arxiv":1,"corr_author":"1","oa_version":"Preprint","doi":"10.1214/23-AAP2007","intvolume":"        34","status":"public","_id":"15317","quality_controlled":"1","author":[{"full_name":"Dello Schiavo, Lorenzo","first_name":"Lorenzo","last_name":"Dello Schiavo","orcid":"0000-0002-9881-6870","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E"},{"id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","last_name":"Portinale","first_name":"Lorenzo","full_name":"Portinale, Lorenzo"},{"id":"E1836206-9F16-11E9-8814-AEFDE5697425","last_name":"Sau","first_name":"Federico","full_name":"Sau, Federico"}],"fulldoi":"https://doi.org/10.1214/23-AAP2007","year":"2024","month":"04","title":"Scaling limits of random walks, harmonic profiles, and stationary nonequilibrium states in Lipschitz domains","citation":{"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.","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>.","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>","short":"L. Dello Schiavo, L. Portinale, F. Sau, Annals of Applied Probability 34 (2024) 1789–1845.","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.","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>","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>."},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","researchdata_availability":"no","abstract":[{"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.","lang":"eng"}],"date_published":"2024-04-01T00:00:00Z","language":[{"iso":"eng"}],"day":"01","project":[{"name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504"},{"name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"716117"},{"grant_number":"M03211","_id":"3490b268-11ca-11ed-8bc3-e0ad03f48839","name":"Reaching consensus in heterogeneous random opinion dynamics"},{"call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","name":"Configuration Spaces over Non-Smooth Spaces","grant_number":"E208"},{"call_identifier":"FWF","grant_number":"W1245","name":"Dissipation and dispersion in nonlinear partial differential equations","_id":"260788DE-B435-11E9-9278-68D0E5697425"}],"department":[{"_id":"JaMa"}],"publication_status":"published"},{"oa_version":"Published Version","corr_author":"1","_id":"15373","status":"public","author":[{"id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","orcid":"0000-0002-0519-4241","last_name":"Wirth","first_name":"Melchior","full_name":"Wirth, Melchior"}],"quality_controlled":"1","doi":"10.1016/j.jfa.2024.110475","intvolume":"       287","fulldoi":"https://doi.org/10.1016/j.jfa.2024.110475","ddc":["510"],"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)"},"article_number":"110475","external_id":{"isi":["001237916800001"]},"scopus_import":"1","article_processing_charge":"Yes (via OA deal)","OA_place":"publisher","OA_type":"hybrid","language":[{"iso":"eng"}],"day":"01","file_date_updated":"2025-01-09T09:33:56Z","department":[{"_id":"JaMa"}],"publication_status":"published","year":"2024","citation":{"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>.","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>","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.","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>","short":"M. Wirth, Journal of Functional Analysis 287 (2024).","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>.","ista":"Wirth M. 2024. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. 287(3), 110475."},"title":"Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups","month":"08","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."}],"researchdata_availability":"not applicable","date_published":"2024-08-01T00:00:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publisher":"Elsevier","type":"journal_article","isi":1,"publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"article_type":"original","file":[{"date_created":"2025-01-09T09:33:56Z","file_id":"18802","file_name":"2024_JourFunctAnalysis_Wirth.pdf","date_updated":"2025-01-09T09:33:56Z","checksum":"657c9f77dd30bb31ce43a591f58126a2","creator":"dernst","relation":"main_file","access_level":"open_access","success":1,"content_type":"application/pdf","file_size":503148}],"date_updated":"2026-10-02T12:19:05Z","supplementarymaterial":"no","dataavailabilitystatement":"No data was used for the research described in the article.","oa":1,"issue":"3","date_created":"2024-05-12T22:01:01Z","has_accepted_license":"1","das_tickbox":"1","publication":"Journal of Functional Analysis","volume":287},{"publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"isi":1,"publisher":"Elsevier","type":"journal_article","supplementarymaterial":"no","date_updated":"2026-10-02T12:19:42Z","article_type":"original","main_file_link":[{"open_access":"1","url":"10.48550/arXiv.2303.12926"}],"oa":1,"dataavailabilitystatement":"No data was used for the research described in the article.","volume":287,"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.","das_tickbox":"1","publication":"Journal of Functional Analysis","issue":"8","date_created":"2024-07-21T22:01:00Z","fulldoi":"https://doi.org/10.1016/j.jfa.2024.110562","quality_controlled":"1","_id":"17277","status":"public","author":[{"last_name":"Brigati","id":"63ff57e8-1fbb-11ee-88f2-f558ffc59cf1","full_name":"Brigati, Giovanni","first_name":"Giovanni"},{"last_name":"Dolbeault","first_name":"Jean","full_name":"Dolbeault, Jean"},{"first_name":"Nikita","full_name":"Simonov, Nikita","last_name":"Simonov"}],"doi":"10.1016/j.jfa.2024.110562","intvolume":"       287","oa_version":"Preprint","corr_author":"1","arxiv":1,"article_processing_charge":"No","OA_place":"repository","scopus_import":"1","article_number":"110562","external_id":{"arxiv":["2303.12926"],"isi":["001271814000001"]},"publication_status":"published","department":[{"_id":"JaMa"}],"language":[{"iso":"eng"}],"day":"15","OA_type":"green","researchdata_availability":"not applicable","abstract":[{"lang":"eng","text":"This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.\r\n\r\n"}],"date_published":"2024-10-15T00:00:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"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>","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>.","short":"G. Brigati, J. Dolbeault, N. Simonov, Journal of Functional Analysis 287 (2024).","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>","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.","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>."},"month":"10","title":"Stability for the logarithmic Sobolev inequality","year":"2024"},{"publication_status":"published","file_date_updated":"2025-01-27T12:38:10Z","department":[{"_id":"JaMa"}],"language":[{"iso":"eng"}],"day":"01","project":[{"grant_number":"ESP156_N","name":"Gradient flow techniques for quantum Markov semigroups","_id":"34c6ea2d-11ca-11ed-8bc3-c04f3c502833"}],"OA_type":"hybrid","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","researchdata_availability":"no","date_published":"2024-07-01T00:00:00Z","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"}],"citation":{"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.","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.","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>","short":"M. Wirth, International Mathematics Research Notices 2024 (2024) 10597–10614.","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>.","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>"},"title":"Modular completely Dirichlet forms as squares of derivations","month":"07","year":"2024","ddc":["510"],"fulldoi":"https://doi.org/10.1093/imrn/rnae092","intvolume":"      2024","doi":"10.1093/imrn/rnae092","_id":"18900","author":[{"last_name":"Wirth","orcid":"0000-0002-0519-4241","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","full_name":"Wirth, Melchior","first_name":"Melchior"}],"quality_controlled":"1","status":"public","corr_author":"1","oa_version":"Published Version","OA_place":"publisher","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","external_id":{"isi":["001222279400001"]},"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)"},"oa":1,"volume":2024,"publication":"International Mathematics Research Notices","das_tickbox":"0","has_accepted_license":"1","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. ","date_created":"2025-01-27T12:36:10Z","issue":"14","publication_identifier":{"issn":["1073-7928"],"eissn":["1687-0247"]},"isi":1,"page":"10597-10614","type":"journal_article","publisher":"Oxford University Press","supplementarymaterial":"no","date_updated":"2026-10-02T12:21:50Z","file":[{"success":1,"access_level":"open_access","file_size":689984,"content_type":"application/pdf","checksum":"3e1f80d58ada0c60a58f35df8080967e","relation":"main_file","creator":"dernst","file_id":"18901","file_name":"2024_IMRN_Wirth.pdf","date_updated":"2025-01-27T12:38:10Z","date_created":"2025-01-27T12:38:10Z"}],"article_type":"original"},{"das_tickbox":"0","publication":"arXiv","date_created":"2024-07-31T08:07:40Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2402.04151","open_access":"1"}],"oa":1,"supplementarymaterial":"no","date_updated":"2026-10-02T12:20:11Z","related_material":{"record":[{"relation":"later_version","status":"public","id":"20050"},{"status":"public","id":"17336","relation":"dissertation_contains"}]},"type":"preprint","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","abstract":[{"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.","lang":"eng"}],"researchdata_availability":"no","date_published":"2024-02-07T00:00:00Z","month":"02","title":"L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher's infinitesimal model","citation":{"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>.","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.","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>.","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>","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.).","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>"},"year":"2024","publication_status":"draft","department":[{"_id":"JaMa"}],"day":"07","language":[{"iso":"eng"}],"project":[{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"},{"_id":"34d33d68-11ca-11ed-8bc3-ec13763c0ca8","name":"The impact of deleterious mutations on small populations","grant_number":"26293"}],"article_processing_charge":"No","OA_place":"repository","arxiv":1,"external_id":{"arxiv":["2402.04151"]},"article_number":"2402.04151","fulldoi":"https://doi.org/10.48550/arXiv.2402.04151","doi":"10.48550/arXiv.2402.04151","_id":"17352","status":"public","author":[{"last_name":"Khudiakova","id":"4E6DC800-AE37-11E9-AC72-31CAE5697425","orcid":"0000-0002-6246-1465","full_name":"Khudiakova, Kseniia","first_name":"Kseniia"},{"orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","last_name":"Maas","first_name":"Jan","full_name":"Maas, Jan"},{"id":"d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c","last_name":"Pedrotti","first_name":"Francesco","full_name":"Pedrotti, Francesco"}],"corr_author":"1","oa_version":"Preprint"},{"year":"2024","title":"Optimal Transport on Quantum Structures","citation":{"ista":"Maas J, Rademacher SAE, Titkos T, Virosztek D eds. 2024. Optimal Transport on Quantum Structures, Cham: Springer Nature,p.","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>.","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.","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>","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>.","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>"},"month":"09","date_published":"2024-09-19T00:00:00Z","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"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","editor":[{"orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","last_name":"Maas","first_name":"Jan","full_name":"Maas, Jan"},{"last_name":"Rademacher","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira"},{"last_name":"Titkos","full_name":"Titkos, Tamás","first_name":"Tamás"},{"last_name":"Virosztek","id":"48DB45DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-1109-5511","full_name":"Virosztek, Daniel","first_name":"Daniel"}],"day":"19","language":[{"iso":"eng"}],"department":[{"_id":"JaMa"}],"series_title":"BSMS","publication_status":"published","scopus_import":"1","article_processing_charge":"No","oa_version":"None","_id":"18899","quality_controlled":"1","status":"public","doi":"10.1007/978-3-031-50466-2","intvolume":"        29","fulldoi":"https://doi.org/10.1007/978-3-031-50466-2","date_created":"2025-01-27T12:26:03Z","volume":29,"alternative_title":["Bolyai Society Mathematical Studies"],"date_updated":"2026-10-02T12:21:19Z","place":"Cham","publisher":"Springer Nature","type":"book_editor","publication_identifier":{"isbn":["9783031504655"],"eisbn":["9783031504662"],"issn":["1217-4696"],"eissn":["2947-9460"]}},{"related_material":{"record":[{"relation":"later_version","id":"20591","status":"public"},{"relation":"dissertation_contains","status":"public","id":"17336"}]},"type":"preprint","supplementarymaterial":"no","date_updated":"2026-10-02T12:20:37Z","oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2404.15205"}],"date_created":"2024-07-31T08:17:14Z","das_tickbox":"0","publication":"arXiv","doi":"10.48550/arXiv.2404.15205","_id":"17353","status":"public","author":[{"last_name":"Brigati","id":"63ff57e8-1fbb-11ee-88f2-f558ffc59cf1","full_name":"Brigati, Giovanni","first_name":"Giovanni"},{"full_name":"Pedrotti, Francesco","first_name":"Francesco","last_name":"Pedrotti","id":"d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c"}],"corr_author":"1","oa_version":"Preprint","fulldoi":"https://doi.org/10.48550/arXiv.2404.15205","external_id":{"arxiv":["2404.15205"]},"article_number":"2404.15205","article_processing_charge":"No","OA_place":"repository","arxiv":1,"day":"08","language":[{"iso":"eng"}],"publication_status":"draft","department":[{"_id":"JaMa"}],"year":"2024","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","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."}],"date_published":"2024-05-08T00:00:00Z","researchdata_availability":"no","citation":{"ista":"Brigati G, Pedrotti F. Heat flow, log-concavity, and Lipschitz transport maps. arXiv, 2404.15205.","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>.","short":"G. Brigati, F. Pedrotti, ArXiv (n.d.).","ieee":"G. Brigati and F. Pedrotti, “Heat flow, log-concavity, and Lipschitz transport maps,” <i>arXiv</i>. .","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>","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>","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>."},"month":"05","title":"Heat flow, log-concavity, and Lipschitz transport maps"},{"oa":1,"publication":"Plant Communications","das_tickbox":"0","has_accepted_license":"1","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.","ec_funded":1,"volume":5,"date_created":"2023-09-01T11:32:02Z","issue":"1","publication_identifier":{"issn":["2590-3462"]},"isi":1,"pmid":1,"type":"journal_article","publisher":"Elsevier","date_updated":"2026-10-02T12:23:32Z","supplementarymaterial":"yes","article_type":"original","file":[{"checksum":"edbc44c6d4a394d2bf70f92fdbb08f0a","relation":"main_file","creator":"dernst","success":1,"access_level":"open_access","content_type":"application/pdf","file_size":2825565,"date_created":"2024-01-30T12:59:57Z","file_id":"14911","file_name":"2023_PlantCommunications_Tang.pdf","date_updated":"2024-01-30T12:59:57Z"}],"file_date_updated":"2024-01-30T12:59:57Z","department":[{"_id":"JiFr"}],"publication_status":"published","OA_type":"gold","day":"08","language":[{"iso":"eng"}],"project":[{"grant_number":"742985","call_identifier":"H2020","_id":"261099A6-B435-11E9-9278-68D0E5697425","name":"Tracing Evolution of Auxin Transport and Polarity in Plants"}],"month":"01","citation":{"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.","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>","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>","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>.","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.","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>."},"title":"Divergence of trafficking and polarization mechanisms for PIN auxin transporters during land plant evolution","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","researchdata_availability":"no","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."}],"date_published":"2024-01-08T00:00:00Z","year":"2024","fulldoi":"https://doi.org/10.1016/j.xplc.2023.100669","ddc":["580"],"corr_author":"1","oa_version":"Published Version","DOAJ_listed":"1","doi":"10.1016/j.xplc.2023.100669","intvolume":"         5","_id":"14251","quality_controlled":"1","status":"public","author":[{"id":"19BDF720-25A0-11EA-AC6E-928F3DDC885E","orcid":"0000-0001-6152-6637","last_name":"Tang","first_name":"Han","full_name":"Tang, Han"},{"last_name":"Lu","full_name":"Lu, KJ","first_name":"KJ"},{"first_name":"Y","full_name":"Zhang, Y","last_name":"Zhang"},{"full_name":"Cheng, YL","first_name":"YL","last_name":"Cheng"},{"last_name":"Tu","full_name":"Tu, SL","first_name":"SL"},{"id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596","last_name":"Friml","first_name":"Jiří","full_name":"Friml, Jiří"}],"scopus_import":"1","article_processing_charge":"Yes","OA_place":"publisher","external_id":{"pmid":["37528584"],"isi":["001158054500001"]},"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)"},"article_number":"100669"},{"oa":1,"dataavailabilitystatement":"The data that supports the findings of this study are available from the corresponding authors upon reasonable request.","volume":102,"publication":"Plant Growth Regulation","das_tickbox":"1","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.","has_accepted_license":"1","date_created":"2023-10-22T22:01:15Z","isi":1,"publication_identifier":{"eissn":["1573-5087"],"issn":["0167-6903"]},"page":"589-602","type":"journal_article","publisher":"Springer Nature","supplementarymaterial":"yes","date_updated":"2026-10-02T12:24:54Z","file":[{"relation":"main_file","creator":"dernst","checksum":"e63271b1d57c1f03c1d993fd62cba59c","content_type":"application/pdf","file_size":2847929,"success":1,"access_level":"open_access","date_created":"2024-07-16T08:13:24Z","date_updated":"2024-07-16T08:13:24Z","file_id":"17252","file_name":"2024_PlantGrowthReg_Bieleszova.pdf"}],"article_type":"original","publication_status":"published","department":[{"_id":"JiFr"}],"file_date_updated":"2024-07-16T08:13:24Z","language":[{"iso":"eng"}],"day":"01","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","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"}],"date_published":"2024-04-01T00:00:00Z","researchdata_availability":"upon request","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>.","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.","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>","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>.","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>","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."},"title":"New fluorescent auxin derivatives: Anti-auxin activity and accumulation patterns in Arabidopsis thaliana","month":"04","year":"2024","ddc":["580"],"fulldoi":"https://doi.org/10.1007/s10725-023-01083-0","doi":"10.1007/s10725-023-01083-0","intvolume":"       102","status":"public","_id":"14447","author":[{"first_name":"Kristýna","full_name":"Bieleszová, Kristýna","last_name":"Bieleszová"},{"first_name":"Pavel","full_name":"Hladík, Pavel","last_name":"Hladík"},{"full_name":"Kubala, Martin","first_name":"Martin","last_name":"Kubala"},{"last_name":"Napier","full_name":"Napier, Richard","first_name":"Richard"},{"first_name":"Federica","full_name":"Brunoni, Federica","last_name":"Brunoni"},{"full_name":"Gelová, Zuzana","first_name":"Zuzana","last_name":"Gelová","orcid":"0000-0003-4783-1752","id":"0AE74790-0E0B-11E9-ABC7-1ACFE5697425"},{"full_name":"Fiedler, Lukas","first_name":"Lukas","last_name":"Fiedler","id":"7c417475-8972-11ed-ae7b-8b674ca26986"},{"last_name":"Kulich","id":"57a1567c-8314-11eb-9063-c9ddc3451a54","full_name":"Kulich, Ivan","first_name":"Ivan"},{"last_name":"Strnad","first_name":"Miroslav","full_name":"Strnad, Miroslav"},{"first_name":"Karel","full_name":"Doležal, Karel","last_name":"Doležal"},{"last_name":"Novák","first_name":"Ondřej","full_name":"Novák, Ondřej"},{"last_name":"Friml","id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596","full_name":"Friml, Jiří","first_name":"Jiří"},{"first_name":"Asta","full_name":"Žukauskaitė, Asta","last_name":"Žukauskaitė"}],"quality_controlled":"1","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","external_id":{"isi":["001084334300001"]},"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)"}},{"type":"journal_article","publisher":"Springer Nature","isi":1,"publication_identifier":{"eissn":["2041-1723"]},"pmid":1,"article_type":"original","file":[{"date_created":"2024-05-27T07:43:46Z","file_id":"17056","file_name":"2024_NatureComm_Rajappa.pdf","date_updated":"2024-05-27T07:43:46Z","checksum":"79aacbe31cf7626b78da062b1339bdb0","relation":"main_file","creator":"dernst","success":1,"access_level":"open_access","content_type":"application/pdf","file_size":20961818}],"date_updated":"2026-10-02T12:26:55Z","supplementarymaterial":"yes","dataavailabilitystatement":"All data are available in the main text or the supplementary materials. Source data are provided with this paper.","oa":1,"date_created":"2024-05-26T22:00:57Z","das_tickbox":"1","publication":"Nature Communications","has_accepted_license":"1","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.","volume":15,"oa_version":"Published Version","DOAJ_listed":"1","intvolume":"        15","doi":"10.1038/s41467-024-48234-z","status":"public","_id":"17048","quality_controlled":"1","author":[{"first_name":"Sivamathini","full_name":"Rajappa, Sivamathini","last_name":"Rajappa"},{"last_name":"Krishnamurthy","full_name":"Krishnamurthy, Pannaga","first_name":"Pannaga"},{"last_name":"Huang","first_name":"Hua","full_name":"Huang, Hua"},{"first_name":"Dejie","full_name":"Yu, Dejie","last_name":"Yu"},{"first_name":"Jiří","full_name":"Friml, Jiří","orcid":"0000-0002-8302-7596","id":"4159519E-F248-11E8-B48F-1D18A9856A87","last_name":"Friml"},{"last_name":"Xu","full_name":"Xu, Jian","first_name":"Jian"},{"last_name":"Kumar","first_name":"Prakash P.","full_name":"Kumar, Prakash P."}],"fulldoi":"https://doi.org/10.1038/s41467-024-48234-z","ddc":["580"],"external_id":{"pmid":["38729926"],"isi":["001221549300004"]},"article_number":"3978","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)"},"scopus_import":"1","article_processing_charge":"Yes","language":[{"iso":"eng"}],"day":"10","file_date_updated":"2024-05-27T07:43:46Z","department":[{"_id":"JiFr"}],"publication_status":"published","year":"2024","title":"The translocation of a chloride channel from the Golgi to the plasma membrane helps plants adapt to salt stress","citation":{"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.","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>.","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>.","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>","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>","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."},"month":"05","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","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"}],"date_published":"2024-05-10T00:00:00Z","researchdata_availability":"yes (supplementary data)"}]