[{"file_date_updated":"2022-08-16T08:52:46Z","file":[{"access_level":"open_access","success":1,"content_type":"application/pdf","creator":"kschuh","checksum":"59b99d1b48b6bd40983e7ce298524a21","file_size":1758371,"file_name":"2022_Journal of Evolution Equations_Agresti.pdf","file_id":"11862","date_created":"2022-08-16T08:52:46Z","relation":"main_file","date_updated":"2022-08-16T08:52:46Z"}],"day":"01","article_type":"original","oa":1,"scopus_import":"1","fulldoi":"https://doi.org/10.1007/s00028-022-00786-7","publication_identifier":{"issn":["1424-3199"],"eissn":["1424-3202"]},"citation":{"short":"A. Agresti, M. Veraar, Journal of Evolution Equations 22 (2022).","chicago":"Agresti, Antonio, and Mark Veraar. “Nonlinear Parabolic Stochastic Evolution Equations in Critical Spaces Part II.” <i>Journal of Evolution Equations</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s00028-022-00786-7\">https://doi.org/10.1007/s00028-022-00786-7</a>.","ista":"Agresti A, Veraar M. 2022. Nonlinear parabolic stochastic evolution equations in critical spaces part II. Journal of Evolution Equations. 22(2), 56.","ieee":"A. Agresti and M. Veraar, “Nonlinear parabolic stochastic evolution equations in critical spaces part II,” <i>Journal of Evolution Equations</i>, vol. 22, no. 2. Springer Nature, 2022.","apa":"Agresti, A., &#38; Veraar, M. (2022). Nonlinear parabolic stochastic evolution equations in critical spaces part II. <i>Journal of Evolution Equations</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00028-022-00786-7\">https://doi.org/10.1007/s00028-022-00786-7</a>","mla":"Agresti, Antonio, and Mark Veraar. “Nonlinear Parabolic Stochastic Evolution Equations in Critical Spaces Part II.” <i>Journal of Evolution Equations</i>, vol. 22, no. 2, 56, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s00028-022-00786-7\">10.1007/s00028-022-00786-7</a>.","ama":"Agresti A, Veraar M. Nonlinear parabolic stochastic evolution equations in critical spaces part II. <i>Journal of Evolution Equations</i>. 2022;22(2). doi:<a href=\"https://doi.org/10.1007/s00028-022-00786-7\">10.1007/s00028-022-00786-7</a>"},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"type":"journal_article","department":[{"_id":"JuFi"}],"date_created":"2022-08-16T08:39:43Z","date_updated":"2024-10-09T21:03:06Z","doi":"10.1007/s00028-022-00786-7","ddc":["510"],"oa_version":"Published Version","corr_author":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","month":"06","abstract":[{"text":"This paper is a continuation of Part I of this project, where we developed a new local well-posedness theory for nonlinear stochastic PDEs with Gaussian noise. In the current Part II we consider blow-up criteria and regularization phenomena. As in Part I we can allow nonlinearities with polynomial growth and rough initial values from critical spaces. In the first main result we obtain several new blow-up criteria for quasi- and semilinear stochastic evolution equations. In particular, for semilinear equations we obtain a Serrin type blow-up criterium, which extends a recent result of Prüss–Simonett–Wilke (J Differ Equ 264(3):2028–2074, 2018) to the stochastic setting. Blow-up criteria can be used to prove global well-posedness for SPDEs. As in Part I, maximal regularity techniques and weights in time play a central role in the proofs. Our second contribution is a new method to bootstrap Sobolev and Hölder regularity in time and space, which does not require smoothness of the initial data. The blow-up criteria are at the basis of these new methods. Moreover, in applications the bootstrap results can be combined with our blow-up criteria, to obtain efficient ways to prove global existence. This gives new results even in classical 𝐿2-settings, which we illustrate for a concrete SPDE. In future works in preparation we apply the results of the current paper to obtain global well-posedness results and regularity for several concrete SPDEs. These include stochastic Navier–Stokes equations, reaction– diffusion equations and the Allen–Cahn equation. Our setting allows to put these SPDEs into a more flexible framework, where less restrictions on the nonlinearities are needed, and we are able to treat rough initial values from critical spaces. Moreover, we will obtain higher-order regularity results.","lang":"eng"}],"intvolume":"        22","language":[{"iso":"eng"}],"acknowledgement":"The authors thank Emiel Lorist for helpful comments. The authors thank the anonymous referees for their helpful remarks to improve the presentation.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","status":"public","volume":22,"publication":"Journal of Evolution Equations","publisher":"Springer Nature","article_processing_charge":"Yes (via OA deal)","_id":"11858","keyword":["Mathematics (miscellaneous)"],"quality_controlled":"1","issue":"2","article_number":"56","external_id":{"isi":["000809108500001"]},"date_published":"2022-06-01T00:00:00Z","title":"Nonlinear parabolic stochastic evolution equations in critical spaces part II","author":[{"full_name":"Agresti, Antonio","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","last_name":"Agresti","first_name":"Antonio","orcid":"0000-0002-9573-2962"},{"last_name":"Veraar","first_name":"Mark","full_name":"Veraar, Mark"}],"isi":1,"has_accepted_license":"1","year":"2022","publication_status":"published"},{"article_processing_charge":"No","publisher":"Springer Nature","_id":"12129","quality_controlled":"1","keyword":["Computational Theory and Mathematics","Discrete Mathematics and Combinatorics","Geometry and Topology","Theoretical Computer Science"],"external_id":{"isi":["000883222200003"]},"issue":"4","status":"public","intvolume":"        68","acknowledgement":"This is a full and revised version of [38] (on partial triangulations) in Proceedings of the 36th Annual International Symposium on Computational Geometry (SoCG‘20) and of some of the results in [37] (on full triangulations) in Proceedings of the 31st Annual ACM-SIAM Symposium on Discrete Algorithms (SODA‘20).\r\nThis research started at the 11th Gremo’s Workshop on Open Problems (GWOP), Alp Sellamatt, Switzerland, June 24–28, 2013, motivated by a question posed by Filip Mori´c on full triangulations. Research was supported by the Swiss National Science Foundation within the collaborative DACH project Arrangements and Drawings as SNSF Project 200021E-171681, and by IST Austria and Berlin Free University during a sabbatical stay of the second author. We thank Michael Joswig, Jesús De Loera, and Francisco Santos for helpful discussions on the topics of this paper, and Daniel Bertschinger and Valentin Stoppiello for carefully reading earlier versions and for many helpful comments.\r\nOpen access funding provided by the Swiss Federal Institute of Technology Zürich","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"Given a finite point set P in general position in the plane, a full triangulation of P is a maximal straight-line embedded plane graph on P. A partial triangulation of P is a full triangulation of some subset P′ of P containing all extreme points in P. A bistellar flip on a partial triangulation either flips an edge (called edge flip), removes a non-extreme point of degree 3, or adds a point in P∖P′ as vertex of degree 3. The bistellar flip graph has all partial triangulations as vertices, and a pair of partial triangulations is adjacent if they can be obtained from one another by a bistellar flip. The edge flip graph is defined with full triangulations as vertices, and edge flips determining the adjacencies. Lawson showed in the early seventies that these graphs are connected. The goal of this paper is to investigate the structure of these graphs, with emphasis on their vertex connectivity. For sets P of n points in the plane in general position, we show that the edge flip graph is ⌈n/2−2⌉-vertex connected, and the bistellar flip graph is (n−3)-vertex connected; both results are tight. The latter bound matches the situation for the subfamily of regular triangulations (i.e., partial triangulations obtained by lifting the points to 3-space and projecting back the lower convex hull), where (n−3)-vertex connectivity has been known since the late eighties through the secondary polytope due to Gelfand, Kapranov, & Zelevinsky and Balinski’s Theorem. For the edge flip-graph, we additionally show that the vertex connectivity is at least as large as (and hence equal to) the minimum degree (i.e., the minimum number of flippable edges in any full triangulation), provided that n is large enough. Our methods also yield several other results: (i) The edge flip graph can be covered by graphs of polytopes of dimension ⌈n/2−2⌉ (products of associahedra) and the bistellar flip graph can be covered by graphs of polytopes of dimension n−3 (products of secondary polytopes). (ii) A partial triangulation is regular, if it has distance n−3 in the Hasse diagram of the partial order of partial subdivisions from the trivial subdivision. (iii) All partial triangulations of a point set are regular iff the partial order of partial subdivisions has height n−3. (iv) There are arbitrarily large sets P with non-regular partial triangulations and such that every proper subset has only regular triangulations, i.e., there are no small certificates for the existence of non-regular triangulations."}],"publication":"Discrete & Computational Geometry","volume":68,"isi":1,"year":"2022","has_accepted_license":"1","publication_status":"published","date_published":"2022-11-14T00:00:00Z","author":[{"id":"36690CA2-F248-11E8-B48F-1D18A9856A87","full_name":"Wagner, Uli","first_name":"Uli","orcid":"0000-0002-1494-0568","last_name":"Wagner"},{"full_name":"Welzl, Emo","first_name":"Emo","last_name":"Welzl"}],"title":"Connectivity of triangulation flip graphs in the plane","oa":1,"scopus_import":"1","fulldoi":"https://doi.org/10.1007/s00454-022-00436-2","publication_identifier":{"eissn":["1432-0444"],"issn":["0179-5376"]},"citation":{"ama":"Wagner U, Welzl E. Connectivity of triangulation flip graphs in the plane. <i>Discrete &#38; Computational Geometry</i>. 2022;68(4):1227-1284. doi:<a href=\"https://doi.org/10.1007/s00454-022-00436-2\">10.1007/s00454-022-00436-2</a>","ieee":"U. Wagner and E. Welzl, “Connectivity of triangulation flip graphs in the plane,” <i>Discrete &#38; Computational Geometry</i>, vol. 68, no. 4. Springer Nature, pp. 1227–1284, 2022.","apa":"Wagner, U., &#38; Welzl, E. (2022). Connectivity of triangulation flip graphs in the plane. <i>Discrete &#38; Computational Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00454-022-00436-2\">https://doi.org/10.1007/s00454-022-00436-2</a>","mla":"Wagner, Uli, and Emo Welzl. “Connectivity of Triangulation Flip Graphs in the Plane.” <i>Discrete &#38; Computational Geometry</i>, vol. 68, no. 4, Springer Nature, 2022, pp. 1227–84, doi:<a href=\"https://doi.org/10.1007/s00454-022-00436-2\">10.1007/s00454-022-00436-2</a>.","short":"U. Wagner, E. Welzl, Discrete &#38; Computational Geometry 68 (2022) 1227–1284.","ista":"Wagner U, Welzl E. 2022. Connectivity of triangulation flip graphs in the plane. Discrete &#38; Computational Geometry. 68(4), 1227–1284.","chicago":"Wagner, Uli, and Emo Welzl. “Connectivity of Triangulation Flip Graphs in the Plane.” <i>Discrete &#38; Computational Geometry</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s00454-022-00436-2\">https://doi.org/10.1007/s00454-022-00436-2</a>."},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"file_date_updated":"2023-01-23T11:10:03Z","file":[{"success":1,"access_level":"open_access","date_updated":"2023-01-23T11:10:03Z","relation":"main_file","date_created":"2023-01-23T11:10:03Z","file_size":1747581,"file_name":"2022_DiscreteCompGeometry_Wagner.pdf","file_id":"12345","checksum":"307e879d09e52eddf5b225d0aaa9213a","content_type":"application/pdf","creator":"dernst"}],"day":"14","article_type":"original","date_updated":"2025-07-10T11:54:56Z","date_created":"2023-01-12T12:02:28Z","doi":"10.1007/s00454-022-00436-2","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","corr_author":"1","oa_version":"Published Version","ddc":["510"],"month":"11","page":"1227-1284","related_material":{"record":[{"status":"public","relation":"earlier_version","id":"7807"},{"id":"7990","relation":"earlier_version","status":"public"}]},"type":"journal_article","department":[{"_id":"UlWa"}]},{"isi":1,"year":"2022","publication_status":"published","date_published":"2022-11-07T00:00:00Z","author":[{"first_name":"B.","last_name":"Wang","full_name":"Wang, B."},{"full_name":"Ayats López, Roger","id":"ab77522d-073b-11ed-8aff-e71b39258362","first_name":"Roger","orcid":"0000-0001-6572-0621","last_name":"Ayats López"},{"full_name":"Deguchi, K.","last_name":"Deguchi","first_name":"K."},{"full_name":"Mellibovsky, F.","first_name":"F.","last_name":"Mellibovsky"},{"last_name":"Meseguer","first_name":"A.","full_name":"Meseguer, A."}],"title":"Self-sustainment of coherent structures in counter-rotating Taylor–Couette flow","publisher":"Cambridge University Press","article_processing_charge":"No","_id":"12137","quality_controlled":"1","keyword":["Mechanical Engineering","Mechanics of Materials","Condensed Matter Physics","Applied Mathematics"],"article_number":"A21","external_id":{"isi":["000879446900001"],"arxiv":["2207.12990"]},"abstract":[{"text":"We investigate the local self-sustained process underlying spiral turbulence in counter-rotating Taylor–Couette flow using a periodic annular domain, shaped as a parallelogram, two of whose sides are aligned with the cylindrical helix described by the spiral pattern. The primary focus of the study is placed on the emergence of drifting–rotating waves (DRW) that capture, in a relatively small domain, the main features of coherent structures typically observed in developed turbulence. The transitional dynamics of the subcritical region, far below the first instability of the laminar circular Couette flow, is determined by the upper and lower branches of DRW solutions originated at saddle-node bifurcations. The mechanism whereby these solutions self-sustain, and the chaotic dynamics they induce, are conspicuously reminiscent of other subcritical shear flows. Remarkably, the flow properties of DRW persist even as the Reynolds number is increased beyond the linear stability threshold of the base flow. Simulations in a narrow parallelogram domain stretched in the azimuthal direction to revolve around the apparatus a full turn confirm that self-sustained vortices eventually concentrate into a localised pattern. The resulting statistical steady state satisfactorily reproduces qualitatively, and to a certain degree also quantitatively, the topology and properties of spiral turbulence as calculated in a large periodic domain of sufficient aspect ratio that is representative of the real system.","lang":"eng"}],"status":"public","intvolume":"       951","language":[{"iso":"eng"}],"acknowledgement":"K.D.’s research was supported by an Australian Research Council Discovery Early Career\r\nResearcher Award (DE170100171). B.W., R.A., F.M. and A.M. research was supported by the Spanish Ministerio de Economía y Competitivdad (grant numbers FIS2016-77849-R and FIS2017-85794-P) and Ministerio de Ciencia e Innovación (grant number PID2020-114043GB-I00) and the Generalitat de Catalunya (grant 2017-SGR-785). B.W.’s research was also supported by the Chinese Scholarship Council (grant CSC no. 201806440152).","volume":951,"publication":"Journal of Fluid Mechanics","date_created":"2023-01-12T12:04:17Z","doi":"10.1017/jfm.2022.828","date_updated":"2023-08-04T08:54:16Z","oa_version":"Preprint","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","arxiv":1,"month":"11","type":"journal_article","department":[{"_id":"BjHo"}],"main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2207.12990","open_access":"1"}],"scopus_import":"1","oa":1,"fulldoi":"https://doi.org/10.1017/jfm.2022.828","citation":{"ama":"Wang B, Ayats López R, Deguchi K, Mellibovsky F, Meseguer A. Self-sustainment of coherent structures in counter-rotating Taylor–Couette flow. <i>Journal of Fluid Mechanics</i>. 2022;951. doi:<a href=\"https://doi.org/10.1017/jfm.2022.828\">10.1017/jfm.2022.828</a>","ieee":"B. Wang, R. Ayats López, K. Deguchi, F. Mellibovsky, and A. Meseguer, “Self-sustainment of coherent structures in counter-rotating Taylor–Couette flow,” <i>Journal of Fluid Mechanics</i>, vol. 951. Cambridge University Press, 2022.","mla":"Wang, B., et al. “Self-Sustainment of Coherent Structures in Counter-Rotating Taylor–Couette Flow.” <i>Journal of Fluid Mechanics</i>, vol. 951, A21, Cambridge University Press, 2022, doi:<a href=\"https://doi.org/10.1017/jfm.2022.828\">10.1017/jfm.2022.828</a>.","apa":"Wang, B., Ayats López, R., Deguchi, K., Mellibovsky, F., &#38; Meseguer, A. (2022). Self-sustainment of coherent structures in counter-rotating Taylor–Couette flow. <i>Journal of Fluid Mechanics</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/jfm.2022.828\">https://doi.org/10.1017/jfm.2022.828</a>","short":"B. Wang, R. Ayats López, K. Deguchi, F. Mellibovsky, A. Meseguer, Journal of Fluid Mechanics 951 (2022).","ista":"Wang B, Ayats López R, Deguchi K, Mellibovsky F, Meseguer A. 2022. Self-sustainment of coherent structures in counter-rotating Taylor–Couette flow. Journal of Fluid Mechanics. 951, A21.","chicago":"Wang, B., Roger Ayats López, K. Deguchi, F. Mellibovsky, and A. Meseguer. “Self-Sustainment of Coherent Structures in Counter-Rotating Taylor–Couette Flow.” <i>Journal of Fluid Mechanics</i>. Cambridge University Press, 2022. <a href=\"https://doi.org/10.1017/jfm.2022.828\">https://doi.org/10.1017/jfm.2022.828</a>."},"publication_identifier":{"issn":["0022-1120"],"eissn":["1469-7645"]},"day":"07","article_type":"original"},{"day":"03","article_type":"original","oa":1,"scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2105.14640"}],"fulldoi":"https://doi.org/10.1134/S1560354722050021","citation":{"short":"E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.","chicago":"Koudjinan, Edmond, and Vadim Kaloshin. “On Some Invariants of Birkhoff Billiards under Conjugacy.” <i>Regular and Chaotic Dynamics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1134/S1560354722050021\">https://doi.org/10.1134/S1560354722050021</a>.","ista":"Koudjinan E, Kaloshin V. 2022. On some invariants of Birkhoff billiards under conjugacy. Regular and Chaotic Dynamics. 27(6), 525–537.","mla":"Koudjinan, Edmond, and Vadim Kaloshin. “On Some Invariants of Birkhoff Billiards under Conjugacy.” <i>Regular and Chaotic Dynamics</i>, vol. 27, no. 6, Springer Nature, 2022, pp. 525–37, doi:<a href=\"https://doi.org/10.1134/S1560354722050021\">10.1134/S1560354722050021</a>.","apa":"Koudjinan, E., &#38; Kaloshin, V. (2022). On some invariants of Birkhoff billiards under conjugacy. <i>Regular and Chaotic Dynamics</i>. Springer Nature. <a href=\"https://doi.org/10.1134/S1560354722050021\">https://doi.org/10.1134/S1560354722050021</a>","ieee":"E. Koudjinan and V. Kaloshin, “On some invariants of Birkhoff billiards under conjugacy,” <i>Regular and Chaotic Dynamics</i>, vol. 27, no. 6. Springer Nature, pp. 525–537, 2022.","ama":"Koudjinan E, Kaloshin V. On some invariants of Birkhoff billiards under conjugacy. <i>Regular and Chaotic Dynamics</i>. 2022;27(6):525-537. doi:<a href=\"https://doi.org/10.1134/S1560354722050021\">10.1134/S1560354722050021</a>"},"publication_identifier":{"issn":["1560-3547"],"eissn":["1468-4845"]},"project":[{"grant_number":"885707","_id":"9B8B92DE-BA93-11EA-9121-9846C619BF3A","call_identifier":"H2020","name":"Spectral rigidity and integrability for billiards and geodesic flows"}],"page":"525-537","related_material":{"link":[{"url":"https://doi.org/10.1134/s1560354722060107","relation":"erratum"}]},"type":"journal_article","department":[{"_id":"VaKa"}],"ec_funded":1,"date_created":"2023-01-12T12:06:49Z","date_updated":"2025-04-14T07:53:45Z","doi":"10.1134/S1560354722050021","arxiv":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","corr_author":"1","oa_version":"Preprint","month":"10","language":[{"iso":"eng"}],"acknowledgement":"We are grateful to the anonymous referees for their careful reading and valuable remarks and\r\ncomments which helped to improve the paper significantly. We gratefully acknowledge support from the European Research Council (ERC) through the Advanced Grant “SPERIG” (#885707).","intvolume":"        27","status":"public","abstract":[{"text":"In the class of strictly convex smooth boundaries each of which has no strip around its boundary foliated by invariant curves, we prove that the Taylor coefficients of the “normalized” Mather’s β-function are invariant under C∞-conjugacies. In contrast, we prove that any two elliptic billiard maps are C0-conjugate near their respective boundaries, and C∞-conjugate, near the boundary and away from a line passing through the center of the underlying ellipse. We also prove that, if the billiard maps corresponding to two ellipses are topologically conjugate, then the two ellipses are similar.","lang":"eng"}],"publication":"Regular and Chaotic Dynamics","volume":27,"publisher":"Springer Nature","article_processing_charge":"No","_id":"12145","quality_controlled":"1","keyword":["Mechanical Engineering","Applied Mathematics","Mathematical Physics","Modeling and Simulation","Statistical and Nonlinear Physics","Mathematics (miscellaneous)"],"external_id":{"isi":["000865267300002"],"arxiv":["2105.14640"]},"issue":"6","date_published":"2022-10-03T00:00:00Z","author":[{"first_name":"Edmond","orcid":"0000-0003-2640-4049","last_name":"Koudjinan","id":"52DF3E68-AEFA-11EA-95A4-124A3DDC885E","full_name":"Koudjinan, Edmond"},{"last_name":"Kaloshin","orcid":"0000-0002-6051-2628","first_name":"Vadim","full_name":"Kaloshin, Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425"}],"title":"On some invariants of Birkhoff billiards under conjugacy","isi":1,"year":"2022","publication_status":"published"},{"article_number":"e96","external_id":{"isi":["000873719200001"]},"keyword":["Computational Mathematics","Discrete Mathematics and Combinatorics","Geometry and Topology","Mathematical Physics","Statistics and Probability","Algebra and Number Theory","Theoretical Computer Science","Analysis"],"quality_controlled":"1","_id":"12148","publisher":"Cambridge University Press","article_processing_charge":"No","volume":10,"publication":"Forum of Mathematics, Sigma","abstract":[{"text":"We prove a general local law for Wigner matrices that optimally handles observables of arbitrary rank and thus unifies the well-known averaged and isotropic local laws. As an application, we prove a central limit theorem in quantum unique ergodicity (QUE): that is, we show that the quadratic forms of a general deterministic matrix A on the bulk eigenvectors of a Wigner matrix have approximately Gaussian fluctuation. For the bulk spectrum, we thus generalise our previous result [17] as valid for test matrices A of large rank as well as the result of Benigni and Lopatto [7] as valid for specific small-rank observables.","lang":"eng"}],"status":"public","intvolume":"        10","acknowledgement":"L.E. acknowledges support by ERC Advanced Grant ‘RMTBeyond’ No. 101020331. D.S. acknowledges the support of Dr. Max Rössler, the Walter Haefner Foundation and the ETH Zürich Foundation.","language":[{"iso":"eng"}],"publication_status":"published","has_accepted_license":"1","year":"2022","isi":1,"author":[{"last_name":"Cipolloni","first_name":"Giorgio","orcid":"0000-0002-4901-7992","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","full_name":"Cipolloni, Giorgio"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","last_name":"Erdös","orcid":"0000-0001-5366-9603","first_name":"László"},{"last_name":"Schröder","orcid":"0000-0002-2904-1856","first_name":"Dominik J","id":"408ED176-F248-11E8-B48F-1D18A9856A87","full_name":"Schröder, Dominik J"}],"title":"Rank-uniform local law for Wigner matrices","date_published":"2022-10-27T00:00:00Z","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"fulldoi":"https://doi.org/10.1017/fms.2022.86","citation":{"ista":"Cipolloni G, Erdös L, Schröder DJ. 2022. Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. 10, e96.","chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Rank-Uniform Local Law for Wigner Matrices.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2022. <a href=\"https://doi.org/10.1017/fms.2022.86\">https://doi.org/10.1017/fms.2022.86</a>.","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).","ama":"Cipolloni G, Erdös L, Schröder DJ. Rank-uniform local law for Wigner matrices. <i>Forum of Mathematics, Sigma</i>. 2022;10. doi:<a href=\"https://doi.org/10.1017/fms.2022.86\">10.1017/fms.2022.86</a>","ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Rank-uniform local law for Wigner matrices,” <i>Forum of Mathematics, Sigma</i>, vol. 10. Cambridge University Press, 2022.","apa":"Cipolloni, G., Erdös, L., &#38; Schröder, D. J. (2022). Rank-uniform local law for Wigner matrices. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2022.86\">https://doi.org/10.1017/fms.2022.86</a>","mla":"Cipolloni, Giorgio, et al. “Rank-Uniform Local Law for Wigner Matrices.” <i>Forum of Mathematics, Sigma</i>, vol. 10, e96, Cambridge University Press, 2022, doi:<a href=\"https://doi.org/10.1017/fms.2022.86\">10.1017/fms.2022.86</a>."},"publication_identifier":{"issn":["2050-5094"]},"oa":1,"scopus_import":"1","article_type":"original","day":"27","file":[{"success":1,"access_level":"open_access","date_created":"2023-01-24T10:02:40Z","date_updated":"2023-01-24T10:02:40Z","relation":"main_file","file_id":"12356","file_size":817089,"file_name":"2022_ForumMath_Cipolloni.pdf","checksum":"94a049aeb1eea5497aa097712a73c400","creator":"dernst","content_type":"application/pdf"}],"file_date_updated":"2023-01-24T10:02:40Z","month":"10","oa_version":"Published Version","ddc":["510"],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","corr_author":"1","date_updated":"2025-04-14T07:57:18Z","date_created":"2023-01-12T12:07:30Z","doi":"10.1017/fms.2022.86","ec_funded":1,"department":[{"_id":"LaEr"}],"type":"journal_article","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d"}]},{"article_number":"e1010586","issue":"10","external_id":{"pmid":["36251703"],"isi":["000924885500005"]},"quality_controlled":"1","keyword":["Computational Theory and Mathematics","Cellular and Molecular Neuroscience","Genetics","Molecular Biology","Ecology","Modeling and Simulation","Ecology","Evolution","Behavior and Systematics"],"_id":"12152","publisher":"Public Library of Science","article_processing_charge":"No","volume":18,"publication":"PLOS Computational Biology","abstract":[{"lang":"eng","text":"ESCRT-III filaments are composite cytoskeletal polymers that can constrict and cut cell membranes from the inside of the membrane neck. Membrane-bound ESCRT-III filaments undergo a series of dramatic composition and geometry changes in the presence of an ATP-consuming Vps4 enzyme, which causes stepwise changes in the membrane morphology. We set out to understand the physical mechanisms involved in translating the changes in ESCRT-III polymer composition into membrane deformation. We have built a coarse-grained model in which ESCRT-III polymers of different geometries and mechanical properties are allowed to copolymerise and bind to a deformable membrane. By modelling ATP-driven stepwise depolymerisation of specific polymers, we identify mechanical regimes in which changes in filament composition trigger the associated membrane transition from a flat to a buckled state, and then to a tubule state that eventually undergoes scission to release a small cargo-loaded vesicle. We then characterise how the location and kinetics of polymer loss affects the extent of membrane deformation and the efficiency of membrane neck scission. Our results identify the near-minimal mechanical conditions for the operation of shape-shifting composite polymers that sever membrane necks."}],"status":"public","acknowledgement":"A.S . received an award from European Research Council (https://erc.europa.eu, “NEPA\"\r\n802960), and an award from the Royal Society (https://royalsociety.org, UF160266). L. H.-K.\r\nreceived an award from the Biotechnology and Biological Sciences Research Council (https://\r\nwww.ukri.org/councils/bbsrc/). E. L. received an award from the University College London (https://www.ucl.ac.uk/biophysics/news/2022/feb/applications-biop-brian-duff-and-ipls-summerundergraduate-studentships-now-open, Brian Duff Undergraduate Summer Research Studentship). B.B. and A.S. received an award from Volkswagen Foundation https://www.volkswagenstiftung.de/en/foundation, Az 96727), and an award from Medical Research Council (https://www.ukri.org/councils/mrc, MC_CF1226). A. R. received an\r\naward from the Swiss National Fund for Research (https://www.snf.ch/en, 31003A_130520,\r\n31003A_149975, and 31003A_173087) and an award from the European Research Council\r\nConsolidator (https://erc.europa.eu, 311536). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.","language":[{"iso":"eng"}],"intvolume":"        18","publication_status":"published","has_accepted_license":"1","year":"2022","isi":1,"title":"Modelling membrane reshaping by staged polymerization of ESCRT-III filaments","author":[{"full_name":"Jiang, Xiuyun","last_name":"Jiang","first_name":"Xiuyun"},{"full_name":"Harker-Kirschneck, Lena","first_name":"Lena","last_name":"Harker-Kirschneck"},{"last_name":"Vanhille-Campos","first_name":"Christian Eduardo","full_name":"Vanhille-Campos, Christian Eduardo","id":"3adeca52-9313-11ed-b1ac-c170b2505714"},{"full_name":"Pfitzner, Anna-Katharina","last_name":"Pfitzner","first_name":"Anna-Katharina"},{"last_name":"Lominadze","first_name":"Elene","full_name":"Lominadze, Elene"},{"first_name":"Aurélien","last_name":"Roux","full_name":"Roux, Aurélien"},{"last_name":"Baum","first_name":"Buzz","full_name":"Baum, Buzz"},{"full_name":"Šarić, Anđela","id":"bf63d406-f056-11eb-b41d-f263a6566d8b","orcid":"0000-0002-7854-2139","first_name":"Anđela","last_name":"Šarić"}],"date_published":"2022-10-17T00:00:00Z","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"fulldoi":"https://doi.org/10.1371/journal.pcbi.1010586","citation":{"ista":"Jiang X, Harker-Kirschneck L, Vanhille-Campos CE, Pfitzner A-K, Lominadze E, Roux A, Baum B, Šarić A. 2022. Modelling membrane reshaping by staged polymerization of ESCRT-III filaments. PLOS Computational Biology. 18(10), e1010586.","chicago":"Jiang, Xiuyun, Lena Harker-Kirschneck, Christian Eduardo Vanhille-Campos, Anna-Katharina Pfitzner, Elene Lominadze, Aurélien Roux, Buzz Baum, and Anđela Šarić. “Modelling Membrane Reshaping by Staged Polymerization of ESCRT-III Filaments.” <i>PLOS Computational Biology</i>. Public Library of Science, 2022. <a href=\"https://doi.org/10.1371/journal.pcbi.1010586\">https://doi.org/10.1371/journal.pcbi.1010586</a>.","short":"X. Jiang, L. Harker-Kirschneck, C.E. Vanhille-Campos, A.-K. Pfitzner, E. Lominadze, A. Roux, B. Baum, A. Šarić, PLOS Computational Biology 18 (2022).","ama":"Jiang X, Harker-Kirschneck L, Vanhille-Campos CE, et al. Modelling membrane reshaping by staged polymerization of ESCRT-III filaments. <i>PLOS Computational Biology</i>. 2022;18(10). doi:<a href=\"https://doi.org/10.1371/journal.pcbi.1010586\">10.1371/journal.pcbi.1010586</a>","mla":"Jiang, Xiuyun, et al. “Modelling Membrane Reshaping by Staged Polymerization of ESCRT-III Filaments.” <i>PLOS Computational Biology</i>, vol. 18, no. 10, e1010586, Public Library of Science, 2022, doi:<a href=\"https://doi.org/10.1371/journal.pcbi.1010586\">10.1371/journal.pcbi.1010586</a>.","ieee":"X. Jiang <i>et al.</i>, “Modelling membrane reshaping by staged polymerization of ESCRT-III filaments,” <i>PLOS Computational Biology</i>, vol. 18, no. 10. Public Library of Science, 2022.","apa":"Jiang, X., Harker-Kirschneck, L., Vanhille-Campos, C. E., Pfitzner, A.-K., Lominadze, E., Roux, A., … Šarić, A. (2022). Modelling membrane reshaping by staged polymerization of ESCRT-III filaments. <i>PLOS Computational Biology</i>. Public Library of Science. <a href=\"https://doi.org/10.1371/journal.pcbi.1010586\">https://doi.org/10.1371/journal.pcbi.1010586</a>"},"publication_identifier":{"issn":["1553-7358"]},"scopus_import":"1","oa":1,"article_type":"original","day":"17","file":[{"relation":"main_file","date_updated":"2023-01-24T10:45:01Z","date_created":"2023-01-24T10:45:01Z","file_name":"2022_PLoSCompBio_Jiang.pdf","file_size":2641067,"file_id":"12359","checksum":"bada6a7865e470cf42bbdfa67dd471d2","content_type":"application/pdf","creator":"dernst","success":1,"access_level":"open_access"}],"file_date_updated":"2023-01-24T10:45:01Z","month":"10","oa_version":"Published Version","ddc":["570"],"corr_author":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2023-01-12T12:08:10Z","date_updated":"2025-06-12T06:19:28Z","doi":"10.1371/journal.pcbi.1010586","ec_funded":1,"department":[{"_id":"AnSa"}],"type":"journal_article","pmid":1,"related_material":{"link":[{"url":"https://github.com/sharonJXY/3-filament-model","relation":"software"}]},"project":[{"name":"Non-Equilibrium Protein Assembly: from Building Blocks to Biological Machines","call_identifier":"H2020","_id":"eba2549b-77a9-11ec-83b8-a81e493eae4e","grant_number":"802960"},{"_id":"eba0f67c-77a9-11ec-83b8-cc8501b3e222","grant_number":"96752","name":"The evolution of trafficking: from archaea to eukaryotes"}]},{"scopus_import":"1","oa":1,"fulldoi":"https://doi.org/10.3390/sym14102182","publication_identifier":{"issn":["2073-8994"]},"citation":{"short":"L. Salasnich, A. Cappellaro, K. Furutani, A. Tononi, G. Bighin, Symmetry 14 (2022).","chicago":"Salasnich, Luca, Alberto Cappellaro, Koichiro Furutani, Andrea Tononi, and Giacomo Bighin. “First and Second Sound in Two-Dimensional Bosonic and Fermionic Superfluids.” <i>Symmetry</i>. MDPI, 2022. <a href=\"https://doi.org/10.3390/sym14102182\">https://doi.org/10.3390/sym14102182</a>.","ista":"Salasnich L, Cappellaro A, Furutani K, Tononi A, Bighin G. 2022. First and second sound in two-dimensional bosonic and fermionic superfluids. Symmetry. 14(10), 2182.","ieee":"L. Salasnich, A. Cappellaro, K. Furutani, A. Tononi, and G. Bighin, “First and second sound in two-dimensional bosonic and fermionic superfluids,” <i>Symmetry</i>, vol. 14, no. 10. MDPI, 2022.","mla":"Salasnich, Luca, et al. “First and Second Sound in Two-Dimensional Bosonic and Fermionic Superfluids.” <i>Symmetry</i>, vol. 14, no. 10, 2182, MDPI, 2022, doi:<a href=\"https://doi.org/10.3390/sym14102182\">10.3390/sym14102182</a>.","apa":"Salasnich, L., Cappellaro, A., Furutani, K., Tononi, A., &#38; Bighin, G. (2022). First and second sound in two-dimensional bosonic and fermionic superfluids. <i>Symmetry</i>. MDPI. <a href=\"https://doi.org/10.3390/sym14102182\">https://doi.org/10.3390/sym14102182</a>","ama":"Salasnich L, Cappellaro A, Furutani K, Tononi A, Bighin G. First and second sound in two-dimensional bosonic and fermionic superfluids. <i>Symmetry</i>. 2022;14(10). doi:<a href=\"https://doi.org/10.3390/sym14102182\">10.3390/sym14102182</a>"},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"file_date_updated":"2023-01-24T10:56:12Z","file":[{"checksum":"9b6bd0e484834dd76d7b26e3c5fba8bd","content_type":"application/pdf","creator":"dernst","date_updated":"2023-01-24T10:56:12Z","relation":"main_file","date_created":"2023-01-24T10:56:12Z","file_name":"2022_Symmetry_Salsnich.pdf","file_size":843723,"file_id":"12361","access_level":"open_access","success":1}],"day":"17","article_type":"original","date_created":"2023-01-12T12:08:31Z","doi":"10.3390/sym14102182","date_updated":"2023-08-09T10:13:17Z","ddc":["530"],"oa_version":"Published Version","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","month":"10","type":"journal_article","department":[{"_id":"MiLe"}],"publisher":"MDPI","article_processing_charge":"Yes","_id":"12154","quality_controlled":"1","keyword":["Physics and Astronomy (miscellaneous)","General Mathematics","Chemistry (miscellaneous)","Computer Science (miscellaneous)"],"article_number":"2182","issue":"10","external_id":{"isi":["000875039200001"]},"abstract":[{"text":"We review our theoretical results of the sound propagation in two-dimensional (2D) systems of ultracold fermionic and bosonic atoms. In the superfluid phase, characterized by the spontaneous symmetry breaking of the U(1) symmetry, there is the coexistence of first and second sound. In the case of weakly-interacting repulsive bosons, we model the recent measurements of the sound velocities of 39K atoms in 2D obtained in the weakly-interacting regime and around the Berezinskii–Kosterlitz–Thouless (BKT) superfluid-to-normal transition temperature. In particular, we perform a quite accurate computation of the superfluid density and show that it is reasonably consistent with the experimental results. For superfluid attractive fermions, we calculate the first and second sound velocities across the whole BCS-BEC crossover. In the low-temperature regime, we reproduce the recent measurements of first-sound speed with 6Li atoms. We also predict that there is mixing between sound modes only in the finite-temperature BEC regime.","lang":"eng"}],"status":"public","intvolume":"        14","acknowledgement":"This research is partially supported by University of Padova, BIRD grant “Ultracold atoms\r\nin curved geometries”. KF is supported by Fondazione CARIPARO with a PhD fellowship. AT is\r\npartially supported by French National Research Agency ANR Grant Droplets N. ANR-19-CE30-0003-02. LS thanks Herwig Ott and Sandro Wimberger for their kind invitation to the\r\nInternational Workshop “Quantum Transport with ultracold atoms” (2022).","language":[{"iso":"eng"}],"volume":14,"publication":"Symmetry","isi":1,"has_accepted_license":"1","year":"2022","publication_status":"published","date_published":"2022-10-17T00:00:00Z","title":"First and second sound in two-dimensional bosonic and fermionic superfluids","author":[{"full_name":"Salasnich, Luca","last_name":"Salasnich","first_name":"Luca"},{"id":"9d13b3cb-30a2-11eb-80dc-f772505e8660","full_name":"Cappellaro, Alberto","first_name":"Alberto","orcid":"0000-0001-6110-2359","last_name":"Cappellaro"},{"full_name":"Furutani, Koichiro","last_name":"Furutani","first_name":"Koichiro"},{"full_name":"Tononi, Andrea","first_name":"Andrea","last_name":"Tononi"},{"full_name":"Bighin, Giacomo","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87","first_name":"Giacomo","orcid":"0000-0001-8823-9777","last_name":"Bighin"}]},{"has_accepted_license":"1","year":"2022","publication_status":"published","title":"Eukaryotic gene regulation at equilibrium, or non?","author":[{"full_name":"Zoller, Benjamin","first_name":"Benjamin","last_name":"Zoller"},{"last_name":"Gregor","first_name":"Thomas","full_name":"Gregor, Thomas"},{"last_name":"Tkačik","orcid":"1","first_name":"Gašper","id":"3D494DCA-F248-11E8-B48F-1D18A9856A87","full_name":"Tkačik, Gašper"}],"date_published":"2022-09-01T00:00:00Z","keyword":["Applied Mathematics","Computer Science Applications","Drug Discovery","General Biochemistry","Genetics and Molecular Biology","Modeling and Simulation"],"quality_controlled":"1","article_number":"100435","issue":"9","external_id":{"pmid":["36590072"]},"article_processing_charge":"Yes (via OA deal)","publisher":"Elsevier","_id":"12156","volume":31,"publication":"Current Opinion in Systems Biology","abstract":[{"lang":"eng","text":"Models of transcriptional regulation that assume equilibrium binding of transcription factors have been less successful at predicting gene expression from sequence in eukaryotes than in bacteria. This could be due to the non-equilibrium nature of eukaryotic regulation. Unfortunately, the space of possible non-equilibrium mechanisms is vast and predominantly uninteresting. The key question is therefore how this space can be navigated efficiently, to focus on mechanisms and models that are biologically relevant. In this review, we advocate for the normative role of theory—theory that prescribes rather than just describes—in providing such a focus. Theory should expand its remit beyond inferring mechanistic models from data, towards identifying non-equilibrium gene regulatory schemes that may have been evolutionarily selected, despite their energy consumption, because they are precise, reliable, fast, or otherwise outperform regulation at equilibrium. We illustrate our reasoning by toy examples for which we provide simulation code."}],"status":"public","intvolume":"        31","language":[{"iso":"eng"}],"acknowledgement":"This work was supported through the Center for the Physics of Biological Function (PHYe1734030) and by National Institutes of Health Grants R01GM097275 and U01DK127429 (TG). GT acknowledges the support of the Austrian Science Fund grant FWF P28844 and the Human Frontiers Science Program. ","oa_version":"Published Version","ddc":["570"],"corr_author":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"09","date_created":"2023-01-12T12:08:51Z","date_updated":"2025-06-11T13:47:43Z","doi":"10.1016/j.coisb.2022.100435","type":"journal_article","department":[{"_id":"GaTk"}],"project":[{"grant_number":"P28844-B27","_id":"254E9036-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Biophysics of information processing in gene regulation"}],"pmid":1,"citation":{"ama":"Zoller B, Gregor T, Tkačik G. Eukaryotic gene regulation at equilibrium, or non? <i>Current Opinion in Systems Biology</i>. 2022;31(9). doi:<a href=\"https://doi.org/10.1016/j.coisb.2022.100435\">10.1016/j.coisb.2022.100435</a>","ieee":"B. Zoller, T. Gregor, and G. Tkačik, “Eukaryotic gene regulation at equilibrium, or non?,” <i>Current Opinion in Systems Biology</i>, vol. 31, no. 9. Elsevier, 2022.","mla":"Zoller, Benjamin, et al. “Eukaryotic Gene Regulation at Equilibrium, or Non?” <i>Current Opinion in Systems Biology</i>, vol. 31, no. 9, 100435, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.coisb.2022.100435\">10.1016/j.coisb.2022.100435</a>.","apa":"Zoller, B., Gregor, T., &#38; Tkačik, G. (2022). Eukaryotic gene regulation at equilibrium, or non? <i>Current Opinion in Systems Biology</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.coisb.2022.100435\">https://doi.org/10.1016/j.coisb.2022.100435</a>","short":"B. Zoller, T. Gregor, G. Tkačik, Current Opinion in Systems Biology 31 (2022).","ista":"Zoller B, Gregor T, Tkačik G. 2022. Eukaryotic gene regulation at equilibrium, or non? Current Opinion in Systems Biology. 31(9), 100435.","chicago":"Zoller, Benjamin, Thomas Gregor, and Gašper Tkačik. “Eukaryotic Gene Regulation at Equilibrium, or Non?” <i>Current Opinion in Systems Biology</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.coisb.2022.100435\">https://doi.org/10.1016/j.coisb.2022.100435</a>."},"fulldoi":"https://doi.org/10.1016/j.coisb.2022.100435","publication_identifier":{"issn":["2452-3100"]},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"oa":1,"scopus_import":"1","day":"01","article_type":"original","file_date_updated":"2023-01-24T12:14:10Z","file":[{"creator":"dernst","content_type":"application/pdf","checksum":"97ef01e0cc60cdc84f45640a0f248fb0","file_id":"12362","file_size":2214944,"file_name":"2022_CurrentBiology_Zoller.pdf","relation":"main_file","date_created":"2023-01-24T12:14:10Z","date_updated":"2023-01-24T12:14:10Z","access_level":"open_access","success":1}]},{"date_published":"2022-12-01T00:00:00Z","title":"Norms of certain functions of a distinguished Laplacian on the ax + b groups","author":[{"first_name":"Rauan","last_name":"Akylzhanov","full_name":"Akylzhanov, Rauan"},{"full_name":"Kuznetsova, Yulia","last_name":"Kuznetsova","first_name":"Yulia"},{"full_name":"Ruzhansky, Michael","first_name":"Michael","last_name":"Ruzhansky"},{"full_name":"Zhang, Haonan","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","first_name":"Haonan","last_name":"Zhang"}],"isi":1,"publication_status":"published","year":"2022","abstract":[{"lang":"eng","text":"The aim of this paper is to find new estimates for the norms of functions of a (minus) distinguished Laplace operator L on the ‘ax+b’ groups. The central part is devoted to spectrally localized wave propagators, that is, functions of the type ψ(L−−√)exp(itL−−√), with ψ∈C0(R). We show that for t→+∞, the convolution kernel kt of this operator satisfies\r\n∥kt∥1≍t,∥kt∥∞≍1,\r\nso that the upper estimates of D. Müller and C. Thiele (Studia Math., 2007) are sharp. As a necessary component, we recall the Plancherel density of L and spend certain time presenting and comparing different approaches to its calculation. Using its explicit form, we estimate uniform norms of several functions of the shifted Laplace-Beltrami operator Δ~, closely related to L. The functions include in particular exp(−tΔ~γ), t>0,γ>0, and (Δ~−z)s, with complex z, s."}],"intvolume":"       302","acknowledgement":"Yu. K. thanks Professor Waldemar Hebisch for valuable discussions on the general context of multipliers on Lie groups. This work was started during an ICL-CNRS fellowship of the second\r\nnamed author at the Imperial College London. Yu. K. is supported by the ANR-19-CE40-0002 grant of the French National Research Agency (ANR). H. Z. is 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. R. A. was supported by the EPSRC grant EP/R003025. M. R. is supported by the EPSRC grant EP/R003025/2 and by the FWO Odysseus 1 grant G.0H94.18N: Analysis and Partial Differential Equations.","language":[{"iso":"eng"}],"status":"public","volume":302,"publication":"Mathematische Zeitschrift","_id":"12210","article_processing_charge":"No","publisher":"Springer Nature","issue":"4","external_id":{"arxiv":["2101.00584"],"isi":["000859680700001"]},"keyword":["General Mathematics"],"quality_controlled":"1","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"},{"name":"Curvature-dimension in noncommutative analysis","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6","grant_number":"M03337"}],"page":"2327-2352","ec_funded":1,"department":[{"_id":"JaMa"}],"type":"journal_article","doi":"10.1007/s00209-022-03143-z","date_updated":"2025-04-14T07:44:00Z","date_created":"2023-01-16T09:45:31Z","month":"12","oa_version":"Preprint","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","arxiv":1,"article_type":"original","day":"01","main_file_link":[{"url":"https://arxiv.org/abs/2101.00584","open_access":"1"}],"scopus_import":"1","oa":1,"fulldoi":"https://doi.org/10.1007/s00209-022-03143-z","publication_identifier":{"eissn":["1432-1823"],"issn":["0025-5874"]},"citation":{"ama":"Akylzhanov R, Kuznetsova Y, Ruzhansky M, Zhang H. Norms of certain functions of a distinguished Laplacian on the ax + b groups. <i>Mathematische Zeitschrift</i>. 2022;302(4):2327-2352. doi:<a href=\"https://doi.org/10.1007/s00209-022-03143-z\">10.1007/s00209-022-03143-z</a>","mla":"Akylzhanov, Rauan, et al. “Norms of Certain Functions of a Distinguished Laplacian on the Ax + b Groups.” <i>Mathematische Zeitschrift</i>, vol. 302, no. 4, Springer Nature, 2022, pp. 2327–52, doi:<a href=\"https://doi.org/10.1007/s00209-022-03143-z\">10.1007/s00209-022-03143-z</a>.","ieee":"R. Akylzhanov, Y. Kuznetsova, M. Ruzhansky, and H. Zhang, “Norms of certain functions of a distinguished Laplacian on the ax + b groups,” <i>Mathematische Zeitschrift</i>, vol. 302, no. 4. Springer Nature, pp. 2327–2352, 2022.","apa":"Akylzhanov, R., Kuznetsova, Y., Ruzhansky, M., &#38; Zhang, H. (2022). Norms of certain functions of a distinguished Laplacian on the ax + b groups. <i>Mathematische Zeitschrift</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00209-022-03143-z\">https://doi.org/10.1007/s00209-022-03143-z</a>","ista":"Akylzhanov R, Kuznetsova Y, Ruzhansky M, Zhang H. 2022. Norms of certain functions of a distinguished Laplacian on the ax + b groups. Mathematische Zeitschrift. 302(4), 2327–2352.","chicago":"Akylzhanov, Rauan, Yulia Kuznetsova, Michael Ruzhansky, and Haonan Zhang. “Norms of Certain Functions of a Distinguished Laplacian on the Ax + b Groups.” <i>Mathematische Zeitschrift</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s00209-022-03143-z\">https://doi.org/10.1007/s00209-022-03143-z</a>.","short":"R. Akylzhanov, Y. Kuznetsova, M. Ruzhansky, H. Zhang, Mathematische Zeitschrift 302 (2022) 2327–2352."}},{"article_type":"original","day":"18","fulldoi":"https://doi.org/10.1112/jlms.12676","citation":{"chicago":"Gehér, György Pál, Tamás Titkos, and Daniel Virosztek. “The Isometry Group of Wasserstein Spaces: The Hilbertian Case.” <i>Journal of the London Mathematical Society</i>. Wiley, 2022. <a href=\"https://doi.org/10.1112/jlms.12676\">https://doi.org/10.1112/jlms.12676</a>.","ista":"Gehér GP, Titkos T, Virosztek D. 2022. The isometry group of Wasserstein spaces: The Hilbertian case. Journal of the London Mathematical Society. 106(4), 3865–3894.","short":"G.P. Gehér, T. Titkos, D. Virosztek, Journal of the London Mathematical Society 106 (2022) 3865–3894.","ieee":"G. P. Gehér, T. Titkos, and D. Virosztek, “The isometry group of Wasserstein spaces: The Hilbertian case,” <i>Journal of the London Mathematical Society</i>, vol. 106, no. 4. Wiley, pp. 3865–3894, 2022.","mla":"Gehér, György Pál, et al. “The Isometry Group of Wasserstein Spaces: The Hilbertian Case.” <i>Journal of the London Mathematical Society</i>, vol. 106, no. 4, Wiley, 2022, pp. 3865–94, doi:<a href=\"https://doi.org/10.1112/jlms.12676\">10.1112/jlms.12676</a>.","apa":"Gehér, G. P., Titkos, T., &#38; Virosztek, D. (2022). The isometry group of Wasserstein spaces: The Hilbertian case. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.12676\">https://doi.org/10.1112/jlms.12676</a>","ama":"Gehér GP, Titkos T, Virosztek D. The isometry group of Wasserstein spaces: The Hilbertian case. <i>Journal of the London Mathematical Society</i>. 2022;106(4):3865-3894. doi:<a href=\"https://doi.org/10.1112/jlms.12676\">10.1112/jlms.12676</a>"},"publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2102.02037","open_access":"1"}],"scopus_import":"1","oa":1,"ec_funded":1,"department":[{"_id":"LaEr"}],"type":"journal_article","project":[{"name":"Geometric study of Wasserstein spaces and free probability","grant_number":"846294","_id":"26A455A6-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"page":"3865-3894","month":"09","oa_version":"Preprint","arxiv":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","date_created":"2023-01-16T09:46:13Z","date_updated":"2025-04-14T07:50:40Z","doi":"10.1112/jlms.12676","volume":106,"publication":"Journal of the London Mathematical Society","abstract":[{"lang":"eng","text":"Motivated by Kloeckner’s result on the isometry group of the quadratic Wasserstein space W2(Rn), we describe the isometry group Isom(Wp(E)) for all parameters 0 < p < ∞ and for all separable real Hilbert spaces E. In particular, we show that Wp(X) is isometrically rigid for all Polish space X whenever 0 < p < 1. This is a consequence of our more general result: we prove that W1(X) is isometrically rigid if X is a complete separable metric space that satisfies the strict triangle inequality. Furthermore, we show that this latter rigidity result does not generalise to parameters p > 1, by solving Kloeckner’s problem affirmatively on the existence of mass-splitting isometries. "}],"status":"public","intvolume":"       106","acknowledgement":"Geher was supported by the Leverhulme Trust Early Career Fellowship (ECF-2018-125), and also by the Hungarian National Research, Development and Innovation Office - NKFIH (grant no. K115383 and K134944).\r\nTitkos was supported by the Hungarian National Research, Development and Innovation Office - NKFIH (grant no. PD128374, grant no. K115383 and K134944), by the J´anos Bolyai Research Scholarship of the Hungarian Academy of Sciences, and by the UNKP-20-5-BGE-1 New National Excellence Program of the ´Ministry of Innovation and Technology.\r\nVirosztek was supported by the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 846294, by the Momentum program of the Hungarian Academy of Sciences under grant agreement no. LP2021-15/2021, and partially supported by the Hungarian National Research, Development and Innovation Office - NKFIH (grants no. K124152 and no. KH129601). ","language":[{"iso":"eng"}],"issue":"4","external_id":{"arxiv":["2102.02037"],"isi":["000854878500001"]},"keyword":["General Mathematics"],"quality_controlled":"1","_id":"12214","article_processing_charge":"No","publisher":"Wiley","title":"The isometry group of Wasserstein spaces: The Hilbertian case","author":[{"full_name":"Gehér, György Pál","first_name":"György Pál","last_name":"Gehér"},{"last_name":"Titkos","first_name":"Tamás","full_name":"Titkos, Tamás"},{"last_name":"Virosztek","orcid":"0000-0003-1109-5511","first_name":"Daniel","id":"48DB45DA-F248-11E8-B48F-1D18A9856A87","full_name":"Virosztek, Daniel"}],"date_published":"2022-09-18T00:00:00Z","publication_status":"published","year":"2022","isi":1},{"external_id":{"isi":["000860689600014"]},"quality_controlled":"1","keyword":["Discrete Mathematics and Combinatorics","Geometry and Topology","Numerical Analysis","Algebra and Number Theory"],"_id":"12216","publisher":"Elsevier","article_processing_charge":"Yes (via OA deal)","publication":"Linear Algebra and its Applications","volume":654,"language":[{"iso":"eng"}],"intvolume":"       654","acknowledgement":"Work partially supported by the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337.","status":"public","abstract":[{"lang":"eng","text":"Many trace inequalities can be expressed either as concavity/convexity theorems or as monotonicity theorems. A classic example is the joint convexity of the quantum relative entropy which is equivalent to the Data Processing Inequality. The latter says that quantum operations can never increase the relative entropy. The monotonicity versions often have many advantages, and often have direct physical application, as in the example just mentioned. Moreover, the monotonicity results are often valid for a larger class of maps than, say, quantum operations (which are completely positive). In this paper we prove several new monotonicity results, the first of which is a monotonicity theorem that has as a simple corollary a celebrated concavity theorem of Epstein. Our starting points are the monotonicity versions of the Lieb Concavity and the Lieb Convexity Theorems. We also give two new proofs of these in their general forms using interpolation. We then prove our new monotonicity theorems by several duality arguments."}],"publication_status":"published","year":"2022","has_accepted_license":"1","isi":1,"author":[{"full_name":"Carlen, Eric A.","last_name":"Carlen","first_name":"Eric A."},{"first_name":"Haonan","last_name":"Zhang","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","full_name":"Zhang, Haonan"}],"title":"Monotonicity versions of Epstein's concavity theorem and related inequalities","date_published":"2022-12-01T00:00:00Z","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"fulldoi":"https://doi.org/10.1016/j.laa.2022.09.001","publication_identifier":{"issn":["0024-3795"]},"citation":{"ista":"Carlen EA, Zhang H. 2022. Monotonicity versions of Epstein’s concavity theorem and related inequalities. Linear Algebra and its Applications. 654, 289–310.","chicago":"Carlen, Eric A., and Haonan Zhang. “Monotonicity Versions of Epstein’s Concavity Theorem and Related Inequalities.” <i>Linear Algebra and Its Applications</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.laa.2022.09.001\">https://doi.org/10.1016/j.laa.2022.09.001</a>.","short":"E.A. Carlen, H. Zhang, Linear Algebra and Its Applications 654 (2022) 289–310.","ama":"Carlen EA, Zhang H. Monotonicity versions of Epstein’s concavity theorem and related inequalities. <i>Linear Algebra and its Applications</i>. 2022;654:289-310. doi:<a href=\"https://doi.org/10.1016/j.laa.2022.09.001\">10.1016/j.laa.2022.09.001</a>","apa":"Carlen, E. A., &#38; Zhang, H. (2022). Monotonicity versions of Epstein’s concavity theorem and related inequalities. <i>Linear Algebra and Its Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.laa.2022.09.001\">https://doi.org/10.1016/j.laa.2022.09.001</a>","ieee":"E. A. Carlen and H. Zhang, “Monotonicity versions of Epstein’s concavity theorem and related inequalities,” <i>Linear Algebra and its Applications</i>, vol. 654. Elsevier, pp. 289–310, 2022.","mla":"Carlen, Eric A., and Haonan Zhang. “Monotonicity Versions of Epstein’s Concavity Theorem and Related Inequalities.” <i>Linear Algebra and Its Applications</i>, vol. 654, Elsevier, 2022, pp. 289–310, doi:<a href=\"https://doi.org/10.1016/j.laa.2022.09.001\">10.1016/j.laa.2022.09.001</a>."},"scopus_import":"1","oa":1,"article_type":"original","day":"01","file":[{"file_size":441184,"file_name":"2022_LinearAlgebra_Carlen.pdf","file_id":"12415","date_created":"2023-01-27T08:08:39Z","relation":"main_file","date_updated":"2023-01-27T08:08:39Z","content_type":"application/pdf","creator":"dernst","checksum":"cf3cb7e7e34baa967849f01d8f0c1ae4","success":1,"access_level":"open_access"}],"file_date_updated":"2023-01-27T08:08:39Z","month":"12","corr_author":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","ddc":["510"],"oa_version":"Published Version","date_updated":"2025-04-14T13:05:27Z","doi":"10.1016/j.laa.2022.09.001","date_created":"2023-01-16T09:46:38Z","department":[{"_id":"JaMa"}],"type":"journal_article","page":"289-310","project":[{"name":"Curvature-dimension in noncommutative analysis","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6","grant_number":"M03337"}]},{"file":[{"success":1,"access_level":"open_access","file_size":3209644,"file_name":"2022_Chaos_Choueiri.pdf","file_id":"12445","date_created":"2023-01-30T09:41:12Z","date_updated":"2023-01-30T09:41:12Z","relation":"main_file","content_type":"application/pdf","creator":"dernst","checksum":"17881eff8b21969359a2dd64620120ba"}],"file_date_updated":"2023-01-30T09:41:12Z","article_type":"original","day":"26","scopus_import":"1","oa":1,"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"fulldoi":"https://doi.org/10.1063/5.0102904","citation":{"chicago":"Choueiri, George H, Balachandra Suri, Jack Merrin, Maksym Serbyn, Björn Hof, and Nazmi B Budanur. “Crises and Chaotic Scattering in Hydrodynamic Pilot-Wave Experiments.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0102904\">https://doi.org/10.1063/5.0102904</a>.","ista":"Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. 2022. Crises and chaotic scattering in hydrodynamic pilot-wave experiments. Chaos: An Interdisciplinary Journal of Nonlinear Science. 32(9), 093138.","short":"G.H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, N.B. Budanur, Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (2022).","ieee":"G. H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, and N. B. Budanur, “Crises and chaotic scattering in hydrodynamic pilot-wave experiments,” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, vol. 32, no. 9. AIP Publishing, 2022.","mla":"Choueiri, George H., et al. “Crises and Chaotic Scattering in Hydrodynamic Pilot-Wave Experiments.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, vol. 32, no. 9, 093138, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0102904\">10.1063/5.0102904</a>.","apa":"Choueiri, G. H., Suri, B., Merrin, J., Serbyn, M., Hof, B., &#38; Budanur, N. B. (2022). Crises and chaotic scattering in hydrodynamic pilot-wave experiments. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0102904\">https://doi.org/10.1063/5.0102904</a>","ama":"Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. Crises and chaotic scattering in hydrodynamic pilot-wave experiments. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. 2022;32(9). doi:<a href=\"https://doi.org/10.1063/5.0102904\">10.1063/5.0102904</a>"},"publication_identifier":{"issn":["1054-1500"],"eissn":["1089-7682"]},"pmid":1,"department":[{"_id":"MaSe"},{"_id":"BjHo"},{"_id":"NanoFab"}],"type":"journal_article","doi":"10.1063/5.0102904","date_updated":"2025-06-11T13:41:34Z","date_created":"2023-01-16T09:58:16Z","month":"09","oa_version":"Published Version","ddc":["530"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","arxiv":1,"abstract":[{"lang":"eng","text":"Theoretical foundations of chaos have been predominantly laid out for finite-dimensional dynamical systems, such as the three-body problem in classical mechanics and the Lorenz model in dissipative systems. In contrast, many real-world chaotic phenomena, e.g., weather, arise in systems with many (formally infinite) degrees of freedom, which limits direct quantitative analysis of such systems using chaos theory. In the present work, we demonstrate that the hydrodynamic pilot-wave systems offer a bridge between low- and high-dimensional chaotic phenomena by allowing for a systematic study of how the former connects to the latter. Specifically, we present experimental results, which show the formation of low-dimensional chaotic attractors upon destabilization of regular dynamics and a final transition to high-dimensional chaos via the merging of distinct chaotic regions through a crisis bifurcation. Moreover, we show that the post-crisis dynamics of the system can be rationalized as consecutive scatterings from the nonattracting chaotic sets with lifetimes following exponential distributions. "}],"acknowledgement":"This work was partially funded by the Institute of Science and Technology Austria Interdisciplinary Project Committee Grant “Pilot-Wave Hydrodynamics: Chaos and Quantum Analogies.”","language":[{"iso":"eng"}],"status":"public","intvolume":"        32","volume":32,"publication":"Chaos: An Interdisciplinary Journal of Nonlinear Science","_id":"12259","article_processing_charge":"No","publisher":"AIP Publishing","issue":"9","article_number":"093138","external_id":{"arxiv":["2206.01531"],"isi":["000861009600005"],"pmid":["36182399"]},"keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"quality_controlled":"1","date_published":"2022-09-26T00:00:00Z","title":"Crises and chaotic scattering in hydrodynamic pilot-wave experiments","author":[{"id":"448BD5BC-F248-11E8-B48F-1D18A9856A87","full_name":"Choueiri, George H","first_name":"George H","last_name":"Choueiri"},{"id":"47A5E706-F248-11E8-B48F-1D18A9856A87","full_name":"Suri, Balachandra","first_name":"Balachandra","last_name":"Suri"},{"last_name":"Merrin","first_name":"Jack","orcid":"0000-0001-5145-4609","full_name":"Merrin, Jack","id":"4515C308-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-2399-5827","first_name":"Maksym","last_name":"Serbyn","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","full_name":"Serbyn, Maksym"},{"last_name":"Hof","first_name":"Björn","orcid":"0000-0003-2057-2754","full_name":"Hof, Björn","id":"3A374330-F248-11E8-B48F-1D18A9856A87"},{"id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","full_name":"Budanur, Nazmi B","last_name":"Budanur","orcid":"0000-0003-0423-5010","first_name":"Nazmi B"}],"isi":1,"publication_status":"published","has_accepted_license":"1","year":"2022"},{"isi":1,"has_accepted_license":"1","year":"2022","publication_status":"published","date_published":"2022-09-01T00:00:00Z","author":[{"full_name":"Angermayr, Andreas","id":"4677C796-F248-11E8-B48F-1D18A9856A87","last_name":"Angermayr","first_name":"Andreas","orcid":"0000-0001-8619-2223"},{"full_name":"Pang, Tin Yau","last_name":"Pang","first_name":"Tin Yau"},{"first_name":"Guillaume","last_name":"Chevereau","full_name":"Chevereau, Guillaume"},{"full_name":"Mitosch, Karin","id":"39B66846-F248-11E8-B48F-1D18A9856A87","last_name":"Mitosch","first_name":"Karin"},{"full_name":"Lercher, Martin J","first_name":"Martin J","last_name":"Lercher"},{"orcid":"0000-0003-4398-476X","first_name":"Mark Tobias","last_name":"Bollenbach","full_name":"Bollenbach, Mark Tobias","id":"3E6DB97A-F248-11E8-B48F-1D18A9856A87"}],"title":"Growth‐mediated negative feedback shapes quantitative antibiotic response","publisher":"Embo Press","article_processing_charge":"No","_id":"12261","quality_controlled":"1","keyword":["Applied Mathematics","Computational Theory and Mathematics","General Agricultural and Biological Sciences","General Immunology and Microbiology","General Biochemistry","Genetics and Molecular Biology","Information Systems"],"issue":"9","article_number":"e10490","external_id":{"pmid":["36124745"],"isi":["000856482800001"]},"abstract":[{"text":"Dose–response relationships are a general concept for quantitatively describing biological systems across multiple scales, from the molecular to the whole-cell level. A clinically relevant example is the bacterial growth response to antibiotics, which is routinely characterized by dose–response curves. The shape of the dose–response curve varies drastically between antibiotics and plays a key role in treatment, drug interactions, and resistance evolution. However, the mechanisms shaping the dose–response curve remain largely unclear. Here, we show in Escherichia coli that the distinctively shallow dose–response curve of the antibiotic trimethoprim is caused by a negative growth-mediated feedback loop: Trimethoprim slows growth, which in turn weakens the effect of this antibiotic. At the molecular level, this feedback is caused by the upregulation of the drug target dihydrofolate reductase (FolA/DHFR). We show that this upregulation is not a specific response to trimethoprim but follows a universal trend line that depends primarily on the growth rate, irrespective of its cause. Rewiring the feedback loop alters the dose–response curve in a predictable manner, which we corroborate using a mathematical model of cellular resource allocation and growth. Our results indicate that growth-mediated feedback loops may shape drug responses more generally and could be exploited to design evolutionary traps that enable selection against drug resistance.","lang":"eng"}],"status":"public","language":[{"iso":"eng"}],"acknowledgement":"This work was in part supported by Human Frontier Science Program GrantRGP0042/2013, Marie Curie Career Integration Grant303507, AustrianScience Fund (FWF) Grant P27201-B22, and German Research Foundation(DFG) Collaborative Research Center (SFB)1310to TB. SAA was supportedby the European Union’s Horizon2020Research and Innovation Programunder the Marie Skłodowska-Curie Grant agreement No707352. We wouldlike to thank the Bollenbach group for regular fruitful discussions. We areparticularly thankful for the technical assistance of Booshini Fernando andfor discussions of the theoretical aspects with Gerrit Ansmann. We areindebted to Bor Kavˇciˇc for invaluable advice, help with setting up theluciferase-based growth monitoring system, and for sharing plasmids. Weacknowledge the IST Austria Miba Machine Shop for their support inbuilding a housing for the stacker of the plate reader, which enabled thehigh-throughput luciferase-based experiments. We are grateful to RosalindAllen, Bor Kavˇciˇc and Dor Russ for feedback on the manuscript. Open Accessfunding enabled and organized by Projekt DEAL.","intvolume":"        18","volume":18,"publication":"Molecular Systems Biology","date_created":"2023-01-16T09:58:34Z","date_updated":"2025-06-11T14:10:18Z","doi":"10.15252/msb.202110490","oa_version":"Published Version","ddc":["570"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"09","pmid":1,"type":"journal_article","department":[{"_id":"ToBo"}],"oa":1,"scopus_import":"1","publication_identifier":{"eissn":["1744-4292"]},"fulldoi":"https://doi.org/10.15252/msb.202110490","citation":{"ieee":"A. Angermayr, T. Y. Pang, G. Chevereau, K. Mitosch, M. J. Lercher, and M. T. Bollenbach, “Growth‐mediated negative feedback shapes quantitative antibiotic response,” <i>Molecular Systems Biology</i>, vol. 18, no. 9. Embo Press, 2022.","apa":"Angermayr, A., Pang, T. Y., Chevereau, G., Mitosch, K., Lercher, M. J., &#38; Bollenbach, M. T. (2022). Growth‐mediated negative feedback shapes quantitative antibiotic response. <i>Molecular Systems Biology</i>. Embo Press. <a href=\"https://doi.org/10.15252/msb.202110490\">https://doi.org/10.15252/msb.202110490</a>","mla":"Angermayr, Andreas, et al. “Growth‐mediated Negative Feedback Shapes Quantitative Antibiotic Response.” <i>Molecular Systems Biology</i>, vol. 18, no. 9, e10490, Embo Press, 2022, doi:<a href=\"https://doi.org/10.15252/msb.202110490\">10.15252/msb.202110490</a>.","ama":"Angermayr A, Pang TY, Chevereau G, Mitosch K, Lercher MJ, Bollenbach MT. Growth‐mediated negative feedback shapes quantitative antibiotic response. <i>Molecular Systems Biology</i>. 2022;18(9). doi:<a href=\"https://doi.org/10.15252/msb.202110490\">10.15252/msb.202110490</a>","chicago":"Angermayr, Andreas, Tin Yau Pang, Guillaume Chevereau, Karin Mitosch, Martin J Lercher, and Mark Tobias Bollenbach. “Growth‐mediated Negative Feedback Shapes Quantitative Antibiotic Response.” <i>Molecular Systems Biology</i>. Embo Press, 2022. <a href=\"https://doi.org/10.15252/msb.202110490\">https://doi.org/10.15252/msb.202110490</a>.","ista":"Angermayr A, Pang TY, Chevereau G, Mitosch K, Lercher MJ, Bollenbach MT. 2022. Growth‐mediated negative feedback shapes quantitative antibiotic response. Molecular Systems Biology. 18(9), e10490.","short":"A. Angermayr, T.Y. Pang, G. Chevereau, K. Mitosch, M.J. Lercher, M.T. Bollenbach, Molecular Systems Biology 18 (2022)."},"acknowledged_ssus":[{"_id":"M-Shop"}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"file_date_updated":"2023-01-30T09:49:55Z","file":[{"file_size":1098812,"file_name":"2022_MolecularSystemsBio_Angermayr.pdf","file_id":"12446","date_created":"2023-01-30T09:49:55Z","date_updated":"2023-01-30T09:49:55Z","relation":"main_file","content_type":"application/pdf","creator":"dernst","checksum":"8b1d8f5ea20c8408acf466435fb6ae01","success":1,"access_level":"open_access"}],"day":"01","article_type":"original"},{"ddc":["000","570"],"oa_version":"Published Version","corr_author":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","month":"06","date_updated":"2025-04-14T07:52:47Z","date_created":"2023-01-16T10:02:51Z","doi":"10.1371/journal.pcbi.1010149","type":"journal_article","ec_funded":1,"department":[{"_id":"KrCh"}],"project":[{"grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications"}],"pmid":1,"fulldoi":"https://doi.org/10.1371/journal.pcbi.1010149","publication_identifier":{"eissn":["1553-7358"]},"citation":{"ieee":"L. Schmid, C. Hilbe, K. Chatterjee, and M. Nowak, “Direct reciprocity between individuals that use different strategy spaces,” <i>PLOS Computational Biology</i>, vol. 18, no. 6. Public Library of Science, 2022.","mla":"Schmid, Laura, et al. “Direct Reciprocity between Individuals That Use Different Strategy Spaces.” <i>PLOS Computational Biology</i>, vol. 18, no. 6, e1010149, Public Library of Science, 2022, doi:<a href=\"https://doi.org/10.1371/journal.pcbi.1010149\">10.1371/journal.pcbi.1010149</a>.","apa":"Schmid, L., Hilbe, C., Chatterjee, K., &#38; Nowak, M. (2022). Direct reciprocity between individuals that use different strategy spaces. <i>PLOS Computational Biology</i>. Public Library of Science. <a href=\"https://doi.org/10.1371/journal.pcbi.1010149\">https://doi.org/10.1371/journal.pcbi.1010149</a>","ama":"Schmid L, Hilbe C, Chatterjee K, Nowak M. Direct reciprocity between individuals that use different strategy spaces. <i>PLOS Computational Biology</i>. 2022;18(6). doi:<a href=\"https://doi.org/10.1371/journal.pcbi.1010149\">10.1371/journal.pcbi.1010149</a>","chicago":"Schmid, Laura, Christian Hilbe, Krishnendu Chatterjee, and Martin Nowak. “Direct Reciprocity between Individuals That Use Different Strategy Spaces.” <i>PLOS Computational Biology</i>. Public Library of Science, 2022. <a href=\"https://doi.org/10.1371/journal.pcbi.1010149\">https://doi.org/10.1371/journal.pcbi.1010149</a>.","ista":"Schmid L, Hilbe C, Chatterjee K, Nowak M. 2022. Direct reciprocity between individuals that use different strategy spaces. PLOS Computational Biology. 18(6), e1010149.","short":"L. Schmid, C. Hilbe, K. Chatterjee, M. Nowak, PLOS Computational Biology 18 (2022)."},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"scopus_import":"1","oa":1,"day":"14","article_type":"original","file_date_updated":"2023-01-30T11:28:13Z","file":[{"checksum":"31b6b311b6731f1658277a9dfff6632c","content_type":"application/pdf","creator":"dernst","date_updated":"2023-01-30T11:28:13Z","relation":"main_file","date_created":"2023-01-30T11:28:13Z","file_name":"2022_PlosCompBio_Schmid.pdf","file_size":3143222,"file_id":"12460","access_level":"open_access","success":1}],"has_accepted_license":"1","year":"2022","publication_status":"published","isi":1,"title":"Direct reciprocity between individuals that use different strategy spaces","author":[{"first_name":"Laura","orcid":"0000-0002-6978-7329","last_name":"Schmid","full_name":"Schmid, Laura","id":"38B437DE-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Hilbe","first_name":"Christian","orcid":"0000-0001-5116-955X","full_name":"Hilbe, Christian","id":"2FDF8F3C-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","orcid":"0000-0002-4561-241X","first_name":"Krishnendu"},{"full_name":"Nowak, Martin","first_name":"Martin","last_name":"Nowak"}],"date_published":"2022-06-14T00:00:00Z","keyword":["Computational Theory and Mathematics","Cellular and Molecular Neuroscience","Genetics","Molecular Biology","Ecology","Modeling and Simulation","Ecology","Evolution","Behavior and Systematics"],"quality_controlled":"1","article_number":"e1010149","issue":"6","external_id":{"isi":["000843626800031"],"pmid":["35700167"]},"article_processing_charge":"No","publisher":"Public Library of Science","_id":"12280","volume":18,"publication":"PLOS Computational Biology","abstract":[{"text":"In repeated interactions, players can use strategies that respond to the outcome of previous rounds. Much of the existing literature on direct reciprocity assumes that all competing individuals use the same strategy space. Here, we study both learning and evolutionary dynamics of players that differ in the strategy space they explore. We focus on the infinitely repeated donation game and compare three natural strategy spaces: memory-1 strategies, which consider the last moves of both players, reactive strategies, which respond to the last move of the co-player, and unconditional strategies. These three strategy spaces differ in the memory capacity that is needed. We compute the long term average payoff that is achieved in a pairwise learning process. We find that smaller strategy spaces can dominate larger ones. For weak selection, unconditional players dominate both reactive and memory-1 players. For intermediate selection, reactive players dominate memory-1 players. Only for strong selection and low cost-to-benefit ratio, memory-1 players dominate the others. We observe that the supergame between strategy spaces can be a social dilemma: maximum payoff is achieved if both players explore a larger strategy space, but smaller strategy spaces dominate.","lang":"eng"}],"acknowledgement":"This work was supported by the European Research Council (https://erc.europa.eu/)\r\nCoG 863818 (ForM-SMArt) (to K.C.), and the European Research Council Starting Grant 850529: E-DIRECT (to C.H.). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.","language":[{"iso":"eng"}],"intvolume":"        18","status":"public"},{"publication":"Communications in Partial Differential Equations","volume":47,"intvolume":"        47","status":"public","language":[{"iso":"eng"}],"acknowledgement":"N. De Nitti acknowledges the kind hospitality of IST Austria within the framework of the ISTernship Summer Program 2018, during which most of the present article was written. N. DeNitti has received funding by The Austrian Agency for International Cooperation in Education &Research (OeAD-GmbH) via its financial support of the ISTernship Summer Program 2018. N.De Nitti would also like to thank Giuseppe Coclite, Giuseppe Devillanova, Giuseppe Florio, Sebastian Hensel, and Francesco Maddalena for several helpful conversations on topics related to this work.","abstract":[{"text":"We establish sharp criteria for the instantaneous propagation of free boundaries in solutions to the thin-film equation. The criteria are formulated in terms of the initial distribution of mass (as opposed to previous almost-optimal results), reflecting the fact that mass is a locally conserved quantity for the thin-film equation. In the regime of weak slippage, our criteria are at the same time necessary and sufficient. The proof of our upper bounds on free boundary propagation is based on a strategy of “propagation of degeneracy” down to arbitrarily small spatial scales: We combine estimates on the local mass and estimates on energies to show that “degeneracy” on a certain space-time cylinder entails “degeneracy” on a spatially smaller space-time cylinder with the same time horizon. The derivation of our lower bounds on free boundary propagation is based on a combination of a monotone quantity and almost optimal estimates established previously by the second author with a new estimate connecting motion of mass to entropy production.","lang":"eng"}],"quality_controlled":"1","keyword":["Applied Mathematics","Analysis"],"external_id":{"arxiv":["1907.05342"],"isi":["000805689800001"]},"issue":"7","article_processing_charge":"No","publisher":"Taylor & Francis","_id":"12304","author":[{"full_name":"De Nitti, Nicola","first_name":"Nicola","last_name":"De Nitti"},{"orcid":"0000-0002-0479-558X","first_name":"Julian L","last_name":"Fischer","id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","full_name":"Fischer, Julian L"}],"title":"Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation","date_published":"2022-07-01T00:00:00Z","year":"2022","publication_status":"published","isi":1,"day":"01","article_type":"original","citation":{"ama":"De Nitti N, Fischer JL. Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation. <i>Communications in Partial Differential Equations</i>. 2022;47(7):1394-1434. doi:<a href=\"https://doi.org/10.1080/03605302.2022.2056702\">10.1080/03605302.2022.2056702</a>","mla":"De Nitti, Nicola, and Julian L. Fischer. “Sharp Criteria for the Waiting Time Phenomenon in Solutions to the Thin-Film Equation.” <i>Communications in Partial Differential Equations</i>, vol. 47, no. 7, Taylor &#38; Francis, 2022, pp. 1394–434, doi:<a href=\"https://doi.org/10.1080/03605302.2022.2056702\">10.1080/03605302.2022.2056702</a>.","apa":"De Nitti, N., &#38; Fischer, J. L. (2022). Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation. <i>Communications in Partial Differential Equations</i>. Taylor &#38; Francis. <a href=\"https://doi.org/10.1080/03605302.2022.2056702\">https://doi.org/10.1080/03605302.2022.2056702</a>","ieee":"N. De Nitti and J. L. Fischer, “Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation,” <i>Communications in Partial Differential Equations</i>, vol. 47, no. 7. Taylor &#38; Francis, pp. 1394–1434, 2022.","short":"N. De Nitti, J.L. Fischer, Communications in Partial Differential Equations 47 (2022) 1394–1434.","ista":"De Nitti N, Fischer JL. 2022. Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation. Communications in Partial Differential Equations. 47(7), 1394–1434.","chicago":"De Nitti, Nicola, and Julian L Fischer. “Sharp Criteria for the Waiting Time Phenomenon in Solutions to the Thin-Film Equation.” <i>Communications in Partial Differential Equations</i>. Taylor &#38; Francis, 2022. <a href=\"https://doi.org/10.1080/03605302.2022.2056702\">https://doi.org/10.1080/03605302.2022.2056702</a>."},"fulldoi":"https://doi.org/10.1080/03605302.2022.2056702","publication_identifier":{"issn":["0360-5302"],"eissn":["1532-4133"]},"oa":1,"scopus_import":"1","main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.1907.05342"}],"type":"journal_article","department":[{"_id":"JuFi"}],"page":"1394-1434","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","corr_author":"1","arxiv":1,"oa_version":"Preprint","month":"07","doi":"10.1080/03605302.2022.2056702","date_updated":"2024-10-09T21:03:57Z","date_created":"2023-01-16T10:06:50Z"},{"oa_version":"Preprint","corr_author":"1","arxiv":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","month":"01","date_updated":"2024-10-09T21:03:58Z","doi":"10.1137/21m1424925","date_created":"2023-01-16T10:07:00Z","type":"journal_article","department":[{"_id":"JuFi"}],"page":"114-172","publication_identifier":{"eissn":["1095-7154"],"issn":["0036-1410"]},"fulldoi":"https://doi.org/10.1137/21m1424925","citation":{"ieee":"H. Abels and M. Moser, “Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 54, no. 1. Society for Industrial and Applied Mathematics, pp. 114–172, 2022.","mla":"Abels, Helmut, and Maximilian Moser. “Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 54, no. 1, Society for Industrial and Applied Mathematics, 2022, pp. 114–72, doi:<a href=\"https://doi.org/10.1137/21m1424925\">10.1137/21m1424925</a>.","apa":"Abels, H., &#38; Moser, M. (2022). Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°. <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics. <a href=\"https://doi.org/10.1137/21m1424925\">https://doi.org/10.1137/21m1424925</a>","ama":"Abels H, Moser M. Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°. <i>SIAM Journal on Mathematical Analysis</i>. 2022;54(1):114-172. doi:<a href=\"https://doi.org/10.1137/21m1424925\">10.1137/21m1424925</a>","chicago":"Abels, Helmut, and Maximilian Moser. “Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°.” <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics, 2022. <a href=\"https://doi.org/10.1137/21m1424925\">https://doi.org/10.1137/21m1424925</a>.","ista":"Abels H, Moser M. 2022. Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°. SIAM Journal on Mathematical Analysis. 54(1), 114–172.","short":"H. Abels, M. Moser, SIAM Journal on Mathematical Analysis 54 (2022) 114–172."},"main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2105.08434"}],"scopus_import":"1","oa":1,"day":"04","article_type":"original","year":"2022","publication_status":"published","isi":1,"author":[{"full_name":"Abels, Helmut","first_name":"Helmut","last_name":"Abels"},{"last_name":"Moser","first_name":"Maximilian","full_name":"Moser, Maximilian","id":"a60047a9-da77-11eb-85b4-c4dc385ebb8c"}],"title":"Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°","date_published":"2022-01-04T00:00:00Z","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"quality_controlled":"1","issue":"1","external_id":{"isi":["000762768000004"],"arxiv":["2105.08434"]},"article_processing_charge":"No","publisher":"Society for Industrial and Applied Mathematics","_id":"12305","volume":54,"publication":"SIAM Journal on Mathematical Analysis","abstract":[{"text":"This paper is concerned with the sharp interface limit for the Allen--Cahn equation with a nonlinear Robin boundary condition in a bounded smooth domain Ω⊂\\R2. We assume that a diffuse interface already has developed and that it is in contact with the boundary ∂Ω. The boundary condition is designed in such a way that the limit problem is given by the mean curvature flow with constant α-contact angle. For α close to 90° we prove a local in time convergence result for well-prepared initial data for times when a smooth solution to the limit problem exists. Based on the latter we construct a suitable curvilinear coordinate system and carry out a rigorous asymptotic expansion for the Allen--Cahn equation with the nonlinear Robin boundary condition. Moreover, we show a spectral estimate for the corresponding linearized Allen--Cahn operator and with its aid we derive strong norm estimates for the difference of the exact and approximate solutions using a Gronwall-type argument.","lang":"eng"}],"language":[{"iso":"eng"}],"intvolume":"        54","status":"public"},{"abstract":[{"text":"Point-set topology is among the most abstract branches of mathematics in that it lacks tangible notions of distance, length, magnitude, order, and size. There is no shape, no geometry, no algebra, and no direction. Everything we are used to visualizing is gone. In the teaching and learning of mathematics, this can present a conundrum. Yet, this very property makes point set topology perfect for teaching and learning abstract mathematical concepts. It clears our minds of preconceived intuitions and expectations and forces us to think in new and creative ways. In this paper, we present guided investigations into topology through questions and thinking strategies that open up fascinating problems. They are intended for faculty who already teach or are thinking about teaching a class in topology or abstract mathematical reasoning for undergraduates. They can be used to build simple to challenging projects in topology, proofs, honors programs, and research experiences.","lang":"eng"}],"language":[{"iso":"eng"}],"intvolume":"        32","status":"public","volume":32,"publication":"PRIMUS","publisher":"Taylor & Francis","article_processing_charge":"No","_id":"12307","keyword":["Education","General Mathematics"],"quality_controlled":"1","issue":"5","date_published":"2022-05-28T00:00:00Z","author":[{"full_name":"Shipman, Barbara A.","last_name":"Shipman","first_name":"Barbara A."},{"full_name":"Stephenson, Elizabeth R","id":"2D04F932-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6862-208X","first_name":"Elizabeth R","last_name":"Stephenson"}],"title":"Tangible topology through the lens of limits","year":"2022","publication_status":"published","day":"28","article_type":"original","scopus_import":"1","fulldoi":"https://doi.org/10.1080/10511970.2021.1872750","citation":{"apa":"Shipman, B. A., &#38; Stephenson, E. R. (2022). Tangible topology through the lens of limits. <i>PRIMUS</i>. Taylor &#38; Francis. <a href=\"https://doi.org/10.1080/10511970.2021.1872750\">https://doi.org/10.1080/10511970.2021.1872750</a>","ieee":"B. A. Shipman and E. R. Stephenson, “Tangible topology through the lens of limits,” <i>PRIMUS</i>, vol. 32, no. 5. Taylor &#38; Francis, pp. 593–609, 2022.","mla":"Shipman, Barbara A., and Elizabeth R. Stephenson. “Tangible Topology through the Lens of Limits.” <i>PRIMUS</i>, vol. 32, no. 5, Taylor &#38; Francis, 2022, pp. 593–609, doi:<a href=\"https://doi.org/10.1080/10511970.2021.1872750\">10.1080/10511970.2021.1872750</a>.","ama":"Shipman BA, Stephenson ER. Tangible topology through the lens of limits. <i>PRIMUS</i>. 2022;32(5):593-609. doi:<a href=\"https://doi.org/10.1080/10511970.2021.1872750\">10.1080/10511970.2021.1872750</a>","chicago":"Shipman, Barbara A., and Elizabeth R Stephenson. “Tangible Topology through the Lens of Limits.” <i>PRIMUS</i>. Taylor &#38; Francis, 2022. <a href=\"https://doi.org/10.1080/10511970.2021.1872750\">https://doi.org/10.1080/10511970.2021.1872750</a>.","ista":"Shipman BA, Stephenson ER. 2022. Tangible topology through the lens of limits. PRIMUS. 32(5), 593–609.","short":"B.A. Shipman, E.R. Stephenson, PRIMUS 32 (2022) 593–609."},"publication_identifier":{"issn":["1051-1970"],"eissn":["1935-4053"]},"page":"593-609","type":"journal_article","department":[{"_id":"HeEd"},{"_id":"GradSch"}],"date_created":"2023-01-16T10:07:21Z","doi":"10.1080/10511970.2021.1872750","date_updated":"2024-10-09T21:03:58Z","oa_version":"None","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","corr_author":"1","month":"05"},{"arxiv":1,"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","oa_version":"Published Version","ddc":["510"],"month":"10","date_created":"2021-11-03T10:59:08Z","doi":"10.1007/s10208-021-09531-x","date_updated":"2025-04-15T06:53:08Z","type":"journal_article","department":[{"_id":"MaMo"}],"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"page":"1513-1566","publication_identifier":{"issn":["1615-3375"],"eissn":["1615-3383"]},"fulldoi":"https://doi.org/10.1007/s10208-021-09531-x","citation":{"ama":"Mondelli M, Thrampoulidis C, Venkataramanan R. Optimal combination of linear and spectral estimators for generalized linear models. <i>Foundations of Computational Mathematics</i>. 2022;22(5):1513-1566. doi:<a href=\"https://doi.org/10.1007/s10208-021-09531-x\">10.1007/s10208-021-09531-x</a>","mla":"Mondelli, Marco, et al. “Optimal Combination of Linear and Spectral Estimators for Generalized Linear Models.” <i>Foundations of Computational Mathematics</i>, vol. 22, no. 5, Springer, 2022, pp. 1513–66, doi:<a href=\"https://doi.org/10.1007/s10208-021-09531-x\">10.1007/s10208-021-09531-x</a>.","apa":"Mondelli, M., Thrampoulidis, C., &#38; Venkataramanan, R. (2022). Optimal combination of linear and spectral estimators for generalized linear models. <i>Foundations of Computational Mathematics</i>. Springer. <a href=\"https://doi.org/10.1007/s10208-021-09531-x\">https://doi.org/10.1007/s10208-021-09531-x</a>","ieee":"M. Mondelli, C. Thrampoulidis, and R. Venkataramanan, “Optimal combination of linear and spectral estimators for generalized linear models,” <i>Foundations of Computational Mathematics</i>, vol. 22, no. 5. Springer, pp. 1513–1566, 2022.","ista":"Mondelli M, Thrampoulidis C, Venkataramanan R. 2022. Optimal combination of linear and spectral estimators for generalized linear models. Foundations of Computational Mathematics. 22(5), 1513–1566.","chicago":"Mondelli, Marco, Christos Thrampoulidis, and Ramji Venkataramanan. “Optimal Combination of Linear and Spectral Estimators for Generalized Linear Models.” <i>Foundations of Computational Mathematics</i>. Springer, 2022. <a href=\"https://doi.org/10.1007/s10208-021-09531-x\">https://doi.org/10.1007/s10208-021-09531-x</a>.","short":"M. Mondelli, C. Thrampoulidis, R. Venkataramanan, Foundations of Computational Mathematics 22 (2022) 1513–1566."},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"oa":1,"scopus_import":"1","day":"01","article_type":"original","file_date_updated":"2021-12-13T15:47:54Z","file":[{"checksum":"9ea12dd8045a0678000a3a59295221cb","content_type":"application/pdf","creator":"alisjak","date_updated":"2021-12-13T15:47:54Z","relation":"main_file","date_created":"2021-12-13T15:47:54Z","file_size":2305731,"file_name":"2021_Springer_Mondelli.pdf","file_id":"10542","access_level":"open_access","success":1}],"year":"2022","has_accepted_license":"1","publication_status":"published","isi":1,"title":"Optimal combination of linear and spectral estimators for generalized linear models","author":[{"last_name":"Mondelli","orcid":"0000-0002-3242-7020","first_name":"Marco","full_name":"Mondelli, Marco","id":"27EB676C-8706-11E9-9510-7717E6697425"},{"full_name":"Thrampoulidis, Christos","last_name":"Thrampoulidis","first_name":"Christos"},{"first_name":"Ramji","last_name":"Venkataramanan","full_name":"Venkataramanan, Ramji"}],"date_published":"2022-10-01T00:00:00Z","keyword":["Applied Mathematics","Computational Theory and Mathematics","Computational Mathematics","Analysis"],"quality_controlled":"1","external_id":{"arxiv":["2008.03326"],"isi":["000685721000001"]},"issue":"5","article_processing_charge":"Yes (via OA deal)","publisher":"Springer","_id":"10211","publication":"Foundations of Computational Mathematics","volume":22,"language":[{"iso":"eng"}],"acknowledgement":"M. Mondelli would like to thank Andrea Montanari for helpful discussions. All the authors would like to thank the anonymous reviewers for their helpful comments.","status":"public","intvolume":"        22","abstract":[{"text":"We study the problem of recovering an unknown signal 𝑥𝑥 given measurements obtained from a generalized linear model with a Gaussian sensing matrix. Two popular solutions are based on a linear estimator 𝑥𝑥^L and a spectral estimator 𝑥𝑥^s. The former is a data-dependent linear combination of the columns of the measurement matrix, and its analysis is quite simple. The latter is the principal eigenvector of a data-dependent matrix, and a recent line of work has studied its performance. In this paper, we show how to optimally combine 𝑥𝑥^L and 𝑥𝑥^s. At the heart of our analysis is the exact characterization of the empirical joint distribution of (𝑥𝑥,𝑥𝑥^L,𝑥𝑥^s) in the high-dimensional limit. This allows us to compute the Bayes-optimal combination of 𝑥𝑥^L and 𝑥𝑥^s, given the limiting distribution of the signal 𝑥𝑥. When the distribution of the signal is Gaussian, then the Bayes-optimal combination has the form 𝜃𝑥𝑥^L+𝑥𝑥^s and we derive the optimal combination coefficient. In order to establish the limiting distribution of (𝑥𝑥,𝑥𝑥^L,𝑥𝑥^s), we design and analyze an approximate message passing algorithm whose iterates give 𝑥𝑥^L and approach 𝑥𝑥^s. Numerical simulations demonstrate the improvement of the proposed combination with respect to the two methods considered separately.","lang":"eng"}]},{"article_type":"original","day":"18","file":[{"file_size":705323,"file_name":"2022_ForumMathSigma_Henheik.pdf","file_id":"10646","relation":"main_file","date_updated":"2022-01-19T09:27:43Z","date_created":"2022-01-19T09:27:43Z","content_type":"application/pdf","creator":"cchlebak","checksum":"87592a755adcef22ea590a99dc728dd3","success":1,"access_level":"open_access"}],"file_date_updated":"2022-01-19T09:27:43Z","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"citation":{"apa":"Henheik, S. J., &#38; Teufel, S. (2022). Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2021.80\">https://doi.org/10.1017/fms.2021.80</a>","ieee":"S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk,” <i>Forum of Mathematics, Sigma</i>, vol. 10. Cambridge University Press, 2022.","mla":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Gap in the Bulk.” <i>Forum of Mathematics, Sigma</i>, vol. 10, e4, Cambridge University Press, 2022, doi:<a href=\"https://doi.org/10.1017/fms.2021.80\">10.1017/fms.2021.80</a>.","ama":"Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. <i>Forum of Mathematics, Sigma</i>. 2022;10. doi:<a href=\"https://doi.org/10.1017/fms.2021.80\">10.1017/fms.2021.80</a>","chicago":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Gap in the Bulk.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2022. <a href=\"https://doi.org/10.1017/fms.2021.80\">https://doi.org/10.1017/fms.2021.80</a>.","ista":"Henheik SJ, Teufel S. 2022. Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma. 10, e4.","short":"S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022)."},"fulldoi":"https://doi.org/10.1017/fms.2021.80","publication_identifier":{"eissn":["2050-5094"]},"oa":1,"scopus_import":"1","ec_funded":1,"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"type":"journal_article","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331"}],"month":"01","oa_version":"Published Version","ddc":["510"],"arxiv":1,"corr_author":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","doi":"10.1017/fms.2021.80","date_updated":"2025-04-14T07:57:17Z","date_created":"2022-01-18T16:18:51Z","volume":10,"publication":"Forum of Mathematics, Sigma","abstract":[{"lang":"eng","text":"We prove a generalised super-adiabatic theorem for extended fermionic systems assuming a spectral gap only in the bulk. More precisely, we assume that the infinite system has a unique ground state and that the corresponding Gelfand–Naimark–Segal Hamiltonian has a spectral gap above its eigenvalue zero. Moreover, we show that a similar adiabatic theorem also holds in the bulk of finite systems up to errors that vanish faster than any inverse power of the system size, although the corresponding finite-volume Hamiltonians need not have a spectral gap.\r\n\r\n"}],"language":[{"iso":"eng"}],"acknowledgement":"J.H. acknowledges partial financial support by the ERC Advanced Grant ‘RMTBeyond’ No. 101020331. Support for publication costs from the Deutsche Forschungsgemeinschaft and the Open Access Publishing Fund of the University of Tübingen is gratefully acknowledged.","status":"public","intvolume":"        10","article_number":"e4","external_id":{"isi":["000743615000001"],"arxiv":["2012.15239"]},"keyword":["computational mathematics","discrete mathematics and combinatorics","geometry and topology","mathematical physics","statistics and probability","algebra and number theory","theoretical computer science","analysis"],"quality_controlled":"1","_id":"10643","publisher":"Cambridge University Press","article_processing_charge":"Yes","title":"Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk","author":[{"last_name":"Henheik","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha"},{"last_name":"Teufel","first_name":"Stefan","full_name":"Teufel, Stefan"}],"date_published":"2022-01-18T00:00:00Z","publication_status":"published","has_accepted_license":"1","year":"2022","isi":1},{"status":"public","intvolume":"        47","language":[{"iso":"eng"}],"acknowledgement":"Partially supported by Austrian Science Fund (FWF) NFN Grant No RiSE/SHiNE S11407, by CONICYT Chile through grant PII 20150140, and by ECOS-CONICYT through grant C15E03.\r\n","abstract":[{"text":"Partially observable Markov decision processes (POMDPs) are standard models for dynamic systems with probabilistic and nondeterministic behaviour in uncertain environments. We prove that in POMDPs with long-run average objective, the decision maker has approximately optimal strategies with finite memory. This implies notably that approximating the long-run value is recursively enumerable, as well as a weak continuity property of the value with respect to the transition function. ","lang":"eng"}],"publication":"Mathematics of Operations Research","volume":47,"article_processing_charge":"No","publisher":"Institute for Operations Research and the Management Sciences","_id":"9311","keyword":["Management Science and Operations Research","General Mathematics","Computer Science Applications"],"quality_controlled":"1","external_id":{"isi":["000731918100001"],"arxiv":["1904.13360"]},"issue":"1","date_published":"2022-02-01T00:00:00Z","author":[{"full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","orcid":"0000-0002-4561-241X","last_name":"Chatterjee"},{"full_name":"Saona Urmeneta, Raimundo J","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","last_name":"Saona Urmeneta","first_name":"Raimundo J","orcid":"0000-0001-5103-038X"},{"first_name":"Bruno","last_name":"Ziliotto","full_name":"Ziliotto, Bruno"}],"title":"Finite-memory strategies in POMDPs with long-run average objectives","isi":1,"year":"2022","publication_status":"published","day":"01","article_type":"original","scopus_import":"1","oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.13360"}],"publication_identifier":{"eissn":["1526-5471"],"issn":["0364-765X"]},"fulldoi":"https://doi.org/10.1287/moor.2020.1116","citation":{"apa":"Chatterjee, K., Saona Urmeneta, R. J., &#38; Ziliotto, B. (2022). Finite-memory strategies in POMDPs with long-run average objectives. <i>Mathematics of Operations Research</i>. Institute for Operations Research and the Management Sciences. <a href=\"https://doi.org/10.1287/moor.2020.1116\">https://doi.org/10.1287/moor.2020.1116</a>","ieee":"K. Chatterjee, R. J. Saona Urmeneta, and B. Ziliotto, “Finite-memory strategies in POMDPs with long-run average objectives,” <i>Mathematics of Operations Research</i>, vol. 47, no. 1. Institute for Operations Research and the Management Sciences, pp. 100–119, 2022.","mla":"Chatterjee, Krishnendu, et al. “Finite-Memory Strategies in POMDPs with Long-Run Average Objectives.” <i>Mathematics of Operations Research</i>, vol. 47, no. 1, Institute for Operations Research and the Management Sciences, 2022, pp. 100–19, doi:<a href=\"https://doi.org/10.1287/moor.2020.1116\">10.1287/moor.2020.1116</a>.","ama":"Chatterjee K, Saona Urmeneta RJ, Ziliotto B. Finite-memory strategies in POMDPs with long-run average objectives. <i>Mathematics of Operations Research</i>. 2022;47(1):100-119. doi:<a href=\"https://doi.org/10.1287/moor.2020.1116\">10.1287/moor.2020.1116</a>","chicago":"Chatterjee, Krishnendu, Raimundo J Saona Urmeneta, and Bruno Ziliotto. “Finite-Memory Strategies in POMDPs with Long-Run Average Objectives.” <i>Mathematics of Operations Research</i>. Institute for Operations Research and the Management Sciences, 2022. <a href=\"https://doi.org/10.1287/moor.2020.1116\">https://doi.org/10.1287/moor.2020.1116</a>.","ista":"Chatterjee K, Saona Urmeneta RJ, Ziliotto B. 2022. Finite-memory strategies in POMDPs with long-run average objectives. Mathematics of Operations Research. 47(1), 100–119.","short":"K. Chatterjee, R.J. Saona Urmeneta, B. Ziliotto, Mathematics of Operations Research 47 (2022) 100–119."},"project":[{"name":"Game Theory","_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"S11407"}],"page":"100-119","related_material":{"record":[{"id":"20234","status":"public","relation":"dissertation_contains"}]},"type":"journal_article","department":[{"_id":"GradSch"},{"_id":"KrCh"}],"date_created":"2021-04-08T09:33:31Z","date_updated":"2026-07-29T13:14:36Z","doi":"10.1287/moor.2020.1116","arxiv":1,"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Preprint","month":"02"}]