[{"ddc":["510"],"file":[{"file_id":"13149","creator":"dernst","content_type":"application/pdf","file_name":"2023_JourNonlinearScience_Fellner.pdf","date_updated":"2023-06-19T07:33:53Z","relation":"main_file","file_size":742315,"access_level":"open_access","success":1,"checksum":"f3f0f0886098e31c81116cff8183750b","date_created":"2023-06-19T07:33:53Z"}],"intvolume":"        33","scopus_import":"1","status":"public","date_created":"2021-12-16T12:15:35Z","language":[{"iso":"eng"}],"publication":"Journal of Nonlinear Science","has_accepted_license":"1","file_date_updated":"2023-06-19T07:33:53Z","type":"journal_article","author":[{"first_name":"Klemens","last_name":"Fellner","full_name":"Fellner, Klemens"},{"first_name":"Julian L","orcid":"0000-0002-0479-558X","last_name":"Fischer","full_name":"Fischer, Julian L","id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87"},{"id":"2CA2C08C-F248-11E8-B48F-1D18A9856A87","full_name":"Kniely, Michael","last_name":"Kniely","orcid":"0000-0001-5645-4333","first_name":"Michael"},{"first_name":"Bao Quoc","last_name":"Tang","full_name":"Tang, Bao Quoc"}],"acknowledgement":"We thank the referees for their valuable comments and suggestions. A major part of this work was carried out when B. Q. Tang visited the Institute of Science and Technology Austria (ISTA). The hospitality of ISTA is greatly acknowledged. This work was partially supported by NAWI Graz.\r\nOpen access funding provided by University of Graz.","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa":1,"arxiv":1,"_id":"10550","article_type":"original","abstract":[{"text":"The global existence of renormalised solutions and convergence to equilibrium for reaction-diffusion systems with non-linear diffusion are investigated. The system is assumed to have quasi-positive non-linearities and to satisfy an entropy inequality. The difficulties in establishing global renormalised solutions caused by possibly degenerate diffusion are overcome by introducing a new class of weighted truncation functions. By means of the obtained global renormalised solutions, we study the large-time behaviour of complex balanced systems arising from chemical reaction network theory with non-linear diffusion. When the reaction network does not admit boundary equilibria, the complex balanced equilibrium is shown, by using the entropy method, to exponentially attract all renormalised solutions in the same compatibility class. This convergence extends even to a range of non-linear diffusion, where global existence is an open problem, yet we are able to show that solutions to approximate systems converge exponentially to equilibrium uniformly in the regularisation parameter.","lang":"eng"}],"oa_version":"Published Version","day":"07","volume":33,"quality_controlled":"1","external_id":{"isi":["001002343400002"],"arxiv":["2109.12019"]},"month":"06","department":[{"_id":"JuFi"}],"date_updated":"2023-08-01T14:40:33Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"isi":1,"article_number":"66","title":"Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion","citation":{"mla":"Fellner, Klemens, et al. “Global Renormalised Solutions and Equilibration of Reaction-Diffusion Systems with Non-Linear Diffusion.” <i>Journal of Nonlinear Science</i>, vol. 33, 66, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s00332-023-09926-w\">10.1007/s00332-023-09926-w</a>.","ieee":"K. Fellner, J. L. Fischer, M. Kniely, and B. Q. Tang, “Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion,” <i>Journal of Nonlinear Science</i>, vol. 33. Springer Nature, 2023.","ista":"Fellner K, Fischer JL, Kniely M, Tang BQ. 2023. Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion. Journal of Nonlinear Science. 33, 66.","chicago":"Fellner, Klemens, Julian L Fischer, Michael Kniely, and Bao Quoc Tang. “Global Renormalised Solutions and Equilibration of Reaction-Diffusion Systems with Non-Linear Diffusion.” <i>Journal of Nonlinear Science</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00332-023-09926-w\">https://doi.org/10.1007/s00332-023-09926-w</a>.","ama":"Fellner K, Fischer JL, Kniely M, Tang BQ. Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion. <i>Journal of Nonlinear Science</i>. 2023;33. doi:<a href=\"https://doi.org/10.1007/s00332-023-09926-w\">10.1007/s00332-023-09926-w</a>","apa":"Fellner, K., Fischer, J. L., Kniely, M., &#38; Tang, B. Q. (2023). Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion. <i>Journal of Nonlinear Science</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00332-023-09926-w\">https://doi.org/10.1007/s00332-023-09926-w</a>","short":"K. Fellner, J.L. Fischer, M. Kniely, B.Q. Tang, Journal of Nonlinear Science 33 (2023)."},"year":"2023","date_published":"2023-06-07T00:00:00Z","doi":"10.1007/s00332-023-09926-w","publication_identifier":{"issn":["0938-8974"],"eissn":["1432-1467"]},"publisher":"Springer Nature","article_processing_charge":"No","publication_status":"published"},{"abstract":[{"text":"The Dean–Kawasaki equation—a strongly singular SPDE—is a basic equation of fluctuating hydrodynamics; it has been proposed in the physics literature to describe the fluctuations of the density of N independent diffusing particles in the regime of large particle numbers N≫1. The singular nature of the Dean–Kawasaki equation presents a substantial challenge for both its analysis and its rigorous mathematical justification. Besides being non-renormalisable by the theory of regularity structures by Hairer et al., it has recently been shown to not even admit nontrivial martingale solutions. In the present work, we give a rigorous and fully quantitative justification of the Dean–Kawasaki equation by considering the natural regularisation provided by standard numerical discretisations: We show that structure-preserving discretisations of the Dean–Kawasaki equation may approximate the density fluctuations of N non-interacting diffusing particles to arbitrary order in N−1  (in suitable weak metrics). In other words, the Dean–Kawasaki equation may be interpreted as a “recipe” for accurate and efficient numerical simulations of the density fluctuations of independent diffusing particles.","lang":"eng"}],"article_type":"original","external_id":{"isi":["001043086800001"],"arxiv":["2109.06500"],"pmid":["37547904"]},"quality_controlled":"1","project":[{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504"}],"volume":247,"day":"04","oa_version":"Published Version","ec_funded":1,"title":"The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles","article_number":"76","isi":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"date_updated":"2025-04-23T13:06:01Z","department":[{"_id":"JuFi"}],"month":"08","publication_status":"published","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"article_processing_charge":"Yes (via OA deal)","publisher":"Springer Nature","doi":"10.1007/s00205-023-01903-7","year":"2023","date_published":"2023-08-04T00:00:00Z","citation":{"ista":"Cornalba F, Fischer JL. 2023. The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles. Archive for Rational Mechanics and Analysis. 247(5), 76.","mla":"Cornalba, Federico, and Julian L. Fischer. “The Dean-Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 247, no. 5, 76, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s00205-023-01903-7\">10.1007/s00205-023-01903-7</a>.","ieee":"F. Cornalba and J. L. Fischer, “The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 247, no. 5. Springer Nature, 2023.","apa":"Cornalba, F., &#38; Fischer, J. L. (2023). The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-023-01903-7\">https://doi.org/10.1007/s00205-023-01903-7</a>","short":"F. Cornalba, J.L. Fischer, Archive for Rational Mechanics and Analysis 247 (2023).","chicago":"Cornalba, Federico, and Julian L Fischer. “The Dean-Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00205-023-01903-7\">https://doi.org/10.1007/s00205-023-01903-7</a>.","ama":"Cornalba F, Fischer JL. The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles. <i>Archive for Rational Mechanics and Analysis</i>. 2023;247(5). doi:<a href=\"https://doi.org/10.1007/s00205-023-01903-7\">10.1007/s00205-023-01903-7</a>"},"intvolume":"       247","pmid":1,"file":[{"access_level":"open_access","success":1,"relation":"main_file","file_size":1851185,"date_created":"2024-01-30T12:09:34Z","checksum":"4529eeff170b6745a461d397ee611b5a","file_id":"14904","creator":"dernst","file_name":"2023_ArchiveRationalMech_Cornalba.pdf","date_updated":"2024-01-30T12:09:34Z","content_type":"application/pdf"}],"ddc":["510"],"has_accepted_license":"1","publication":"Archive for Rational Mechanics and Analysis","language":[{"iso":"eng"}],"date_created":"2021-12-16T12:16:03Z","status":"public","scopus_import":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","acknowledgement":"We thank the anonymous referee for his/her careful reading of the manuscript and valuable suggestions. FC gratefully acknowledges funding from the Austrian Science Fund (FWF) through the project F65, and from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.\r\nOpen access funding provided by Austrian Science Fund (FWF).","author":[{"orcid":"0000-0002-6269-5149","first_name":"Federico","id":"2CEB641C-A400-11E9-A717-D712E6697425","full_name":"Cornalba, Federico","last_name":"Cornalba"},{"first_name":"Julian L","orcid":"0000-0002-0479-558X","id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","full_name":"Fischer, Julian L","last_name":"Fischer"}],"type":"journal_article","file_date_updated":"2024-01-30T12:09:34Z","corr_author":"1","issue":"5","_id":"10551","arxiv":1,"oa":1},{"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"quality_controlled":"1","external_id":{"arxiv":["2111.13864"]},"day":"21","oa_version":"Preprint","volume":3,"ec_funded":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2111.13864"}],"abstract":[{"text":"We verify Bogoliubov's approximation for translation invariant Bose gases in the mean field regime, i.e. we prove that the ground state energy EN is given by EN=NeH+infσ(H)+oN→∞(1), where N is the number of particles, eH is the minimal Hartree energy and H is the Bogoliubov Hamiltonian. As an intermediate result we show the existence of approximate ground states ΨN, i.e. states satisfying ⟨HN⟩ΨN=EN+oN→∞(1), exhibiting complete Bose--Einstein condensation with respect to one of the Hartree minimizers.","lang":"eng"}],"article_type":"original","publication_status":"published","doi":"10.2140/pmp.2022.3.939","article_processing_charge":"No","publisher":"Mathematical Sciences Publishers","publication_identifier":{"issn":["2690-0998"],"eissn":["2690-1005"]},"citation":{"mla":"Brooks, Morris, and Robert Seiringer. “Validity of Bogoliubov’s Approximation Fortranslation-Invariant Bose Gases.” <i>Probability and Mathematical Physics</i>, vol. 3, no. 4, Mathematical Sciences Publishers, 2023, pp. 939–1000, doi:<a href=\"https://doi.org/10.2140/pmp.2022.3.939\">10.2140/pmp.2022.3.939</a>.","ieee":"M. Brooks and R. Seiringer, “Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases,” <i>Probability and Mathematical Physics</i>, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 939–1000, 2023.","ista":"Brooks M, Seiringer R. 2023. Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases. Probability and Mathematical Physics. 3(4), 939–1000.","chicago":"Brooks, Morris, and Robert Seiringer. “Validity of Bogoliubov’s Approximation Fortranslation-Invariant Bose Gases.” <i>Probability and Mathematical Physics</i>. Mathematical Sciences Publishers, 2023. <a href=\"https://doi.org/10.2140/pmp.2022.3.939\">https://doi.org/10.2140/pmp.2022.3.939</a>.","ama":"Brooks M, Seiringer R. Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases. <i>Probability and Mathematical Physics</i>. 2023;3(4):939-1000. doi:<a href=\"https://doi.org/10.2140/pmp.2022.3.939\">10.2140/pmp.2022.3.939</a>","apa":"Brooks, M., &#38; Seiringer, R. (2023). Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases. <i>Probability and Mathematical Physics</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/pmp.2022.3.939\">https://doi.org/10.2140/pmp.2022.3.939</a>","short":"M. Brooks, R. Seiringer, Probability and Mathematical Physics 3 (2023) 939–1000."},"date_published":"2023-02-21T00:00:00Z","year":"2023","title":"Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases","month":"02","department":[{"_id":"RoSe"}],"date_updated":"2025-04-14T07:26:59Z","language":[{"iso":"eng"}],"publication":"Probability and Mathematical Physics","status":"public","scopus_import":"1","date_created":"2024-05-29T06:12:54Z","intvolume":"         3","page":"939-1000","_id":"17074","arxiv":1,"oa":1,"type":"journal_article","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Morris","orcid":"0000-0002-6249-0928","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","full_name":"Brooks, Morris","last_name":"Brooks"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"acknowledgement":"We are grateful to Rupert Frank for helpful discussions at an early stage of this project.\r\nFunding from the European Union’s Horizon 2020 research and innovation programme\r\nunder the ERC grant agreement No 694227 is acknowledged.","issue":"4","corr_author":"1"},{"external_id":{"arxiv":["2109.10331"],"isi":["000848874400001"]},"quality_controlled":"1","volume":12,"oa_version":"Preprint","day":"01","article_type":"original","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2109.10331","open_access":"1"}],"abstract":[{"text":"We study moments of characteristic polynomials of truncated Haar distributed matrices from the three classical compact groups O(N), U(N) and Sp(2N). For finite matrix size we calculate the moments in terms of hypergeometric functions of matrix argument and give explicit integral representations highlighting the duality between the moment and the matrix size as well as the duality between the orthogonal and symplectic cases. Asymptotic expansions in strong and weak non-unitarity regimes are obtained. Using the connection to matrix hypergeometric functions, we establish limit theorems for the log-modulus of the characteristic polynomial evaluated on the unit circle.","lang":"eng"}],"doi":"10.1142/s2010326322500496","article_processing_charge":"No","publication_identifier":{"issn":["2010-3263"],"eissn":["2010-3271"]},"publisher":"World Scientific Publishing","publication_status":"published","citation":{"apa":"Serebryakov, A., Simm, N., &#38; Dubach, G. (2023). Characteristic polynomials of random truncations: Moments, duality and asymptotics. <i>Random Matrices: Theory and Applications</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s2010326322500496\">https://doi.org/10.1142/s2010326322500496</a>","short":"A. Serebryakov, N. Simm, G. Dubach, Random Matrices: Theory and Applications 12 (2023).","chicago":"Serebryakov, Alexander, Nick Simm, and Guillaume Dubach. “Characteristic Polynomials of Random Truncations: Moments, Duality and Asymptotics.” <i>Random Matrices: Theory and Applications</i>. World Scientific Publishing, 2023. <a href=\"https://doi.org/10.1142/s2010326322500496\">https://doi.org/10.1142/s2010326322500496</a>.","ama":"Serebryakov A, Simm N, Dubach G. Characteristic polynomials of random truncations: Moments, duality and asymptotics. <i>Random Matrices: Theory and Applications</i>. 2023;12(01). doi:<a href=\"https://doi.org/10.1142/s2010326322500496\">10.1142/s2010326322500496</a>","ista":"Serebryakov A, Simm N, Dubach G. 2023. Characteristic polynomials of random truncations: Moments, duality and asymptotics. Random Matrices: Theory and Applications. 12(01), 2250049.","mla":"Serebryakov, Alexander, et al. “Characteristic Polynomials of Random Truncations: Moments, Duality and Asymptotics.” <i>Random Matrices: Theory and Applications</i>, vol. 12, no. 01, 2250049, World Scientific Publishing, 2023, doi:<a href=\"https://doi.org/10.1142/s2010326322500496\">10.1142/s2010326322500496</a>.","ieee":"A. Serebryakov, N. Simm, and G. Dubach, “Characteristic polynomials of random truncations: Moments, duality and asymptotics,” <i>Random Matrices: Theory and Applications</i>, vol. 12, no. 01. World Scientific Publishing, 2023."},"date_published":"2023-01-01T00:00:00Z","year":"2023","article_number":"2250049","isi":1,"title":"Characteristic polynomials of random truncations: Moments, duality and asymptotics","department":[{"_id":"LaEr"}],"month":"01","date_updated":"2025-09-09T14:27:10Z","language":[{"iso":"eng"}],"publication":"Random Matrices: Theory and Applications","date_created":"2024-05-29T06:14:26Z","status":"public","scopus_import":"1","intvolume":"        12","arxiv":1,"_id":"17079","oa":1,"type":"journal_article","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","acknowledgement":"N.S. gratefully acknowledges financial support of the Royal Society, grant URF/R1/180707. We would like to thank Emma Bailey, Yan Fyodorov and Jordan Stoyanov for helpful comments an an earlier version of this paper. We are grateful for the comments of an anonymous referee.","author":[{"full_name":"Serebryakov, Alexander","last_name":"Serebryakov","first_name":"Alexander"},{"first_name":"Nick","full_name":"Simm, Nick","last_name":"Simm"},{"last_name":"Dubach","full_name":"Dubach, Guillaume","id":"D5C6A458-10C4-11EA-ABF4-A4B43DDC885E","orcid":"0000-0001-6892-8137","first_name":"Guillaume"}],"issue":"01"},{"project":[{"grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications"}],"external_id":{"arxiv":["2304.04024"]},"language":[{"iso":"eng"}],"publication":"arXiv","day":"08","oa_version":"Preprint","ec_funded":1,"status":"public","date_created":"2024-06-03T07:44:54Z","abstract":[{"lang":"eng","text":"Prophet inequalities are a central object of study in optimal stopping theory. A gambler is sent values online, sampled from an instance of independent distributions, in an adversarial, random or selected order, depending on the model. When observing each value, the gambler either accepts it as a reward or irrevocably rejects it and proceeds to observe the next value. The goal of the gambler, who cannot see the future, is maximising the expected value of the reward while competing against the expectation of a prophet (the offline maximum). In other words, one seeks to maximise the gambler-to-prophet ratio of the expectations.\r\nThe model, in which the gambler selects the arrival order first, and then observes the values, is known as Order Selection. In this model a ratio of 0.7251 has been proved to be attainable for any instance. In very recent work, this has been improved up to 0.7258. If the gambler chooses the arrival order (uniformly) at random, we obtain the Random Order model. The worst case ratio over all possible instances has been extensively studied for at least 40 years. In the recent work aforementioned, through simulations, this ratio has been shown to be at most 0.7254 for the Random Order model, thus establishing for the first time that carefully choosing the order, instead of simply taking it at random, benefits the gambler. We give an alternative, more rigorous proof of this fact, by showing mathematically that in the Random Order model, no algorithm can achieve a ratio larger than 0.7235. This sets a new state-of-the-art hardness for this model, and establishes more formally that there is a real benefit in choosing the order."}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2304.04024","open_access":"1"}],"publication_status":"submitted","_id":"17100","doi":"10.48550/arXiv.2304.04024","arxiv":1,"article_processing_charge":"No","citation":{"ista":"Giambartolomei G, Frederik Mallmann-Trenn FM-T, Saona Urmeneta RJ. Prophet inequalities: Separating random order from order selection. arXiv, 2304.04024.","mla":"Giambartolomei, Giordano, et al. “Prophet Inequalities: Separating Random Order from Order Selection.” <i>ArXiv</i>, 2304.04024, doi:<a href=\"https://doi.org/10.48550/arXiv.2304.04024\">10.48550/arXiv.2304.04024</a>.","ieee":"G. Giambartolomei, F. M.-T. Frederik Mallmann-Trenn, and R. J. Saona Urmeneta, “Prophet inequalities: Separating random order from order selection,” <i>arXiv</i>. .","apa":"Giambartolomei, G., Frederik Mallmann-Trenn, F. M.-T., &#38; Saona Urmeneta, R. J. (n.d.). Prophet inequalities: Separating random order from order selection. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2304.04024\">https://doi.org/10.48550/arXiv.2304.04024</a>","short":"G. Giambartolomei, F.M.-T. Frederik Mallmann-Trenn, R.J. Saona Urmeneta, ArXiv (n.d.).","chicago":"Giambartolomei, Giordano, Frederik Mallmann-Trenn Frederik Mallmann-Trenn, and Raimundo J Saona Urmeneta. “Prophet Inequalities: Separating Random Order from Order Selection.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2304.04024\">https://doi.org/10.48550/arXiv.2304.04024</a>.","ama":"Giambartolomei G, Frederik Mallmann-Trenn FM-T, Saona Urmeneta RJ. Prophet inequalities: Separating random order from order selection. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2304.04024\">10.48550/arXiv.2304.04024</a>"},"year":"2023","date_published":"2023-04-08T00:00:00Z","oa":1,"title":"Prophet inequalities: Separating random order from order selection","type":"preprint","author":[{"first_name":"Giordano","full_name":"Giambartolomei, Giordano","last_name":"Giambartolomei"},{"full_name":"Frederik Mallmann-Trenn, Frederik Mallmann-Trenn","last_name":"Frederik Mallmann-Trenn","first_name":"Frederik Mallmann-Trenn"},{"orcid":"0000-0001-5103-038X","first_name":"Raimundo J","full_name":"Saona Urmeneta, Raimundo J","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","last_name":"Saona Urmeneta"}],"article_number":"2304.04024","acknowledgement":"This research was partially supported by the EPSRC grant EP/W005573/1, the ERC CoG 863818 (ForM-SMArt) grant, and the ANID Chile grant ACT210005. We would like to thank Jos´e Correa and Bruno Zilotto for their precious advice, and Mona Mohammadi and Roodabeh Safavi for early conversations.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"KrCh"}],"month":"04","date_updated":"2025-04-14T07:52:47Z"},{"issue":"3","corr_author":"1","type":"journal_article","author":[{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Browning, Timothy D","orcid":"0000-0002-8314-0177","first_name":"Timothy D"},{"last_name":"Boudec","full_name":"Boudec, Pierre Le","first_name":"Pierre Le"},{"first_name":"Will","last_name":"Sawin","full_name":"Sawin, Will"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"related_material":{"link":[{"description":"News on IST Homepage","url":"https://ist.ac.at/en/news/when-is-necessary-sufficient/","relation":"press_release"}]},"arxiv":1,"_id":"8682","page":"1115-1203","intvolume":"       197","scopus_import":"1","date_created":"2020-10-19T14:28:50Z","status":"public","language":[{"iso":"eng"}],"publication":"Annals of Mathematics","department":[{"_id":"TiBr"}],"month":"05","date_updated":"2024-10-21T06:01:30Z","isi":1,"title":"The Hasse principle for random Fano hypersurfaces","citation":{"ieee":"T. D. Browning, P. L. Boudec, and W. Sawin, “The Hasse principle for random Fano hypersurfaces,” <i>Annals of Mathematics</i>, vol. 197, no. 3. Princeton University, pp. 1115–1203, 2023.","mla":"Browning, Timothy D., et al. “The Hasse Principle for Random Fano Hypersurfaces.” <i>Annals of Mathematics</i>, vol. 197, no. 3, Princeton University, 2023, pp. 1115–203, doi:<a href=\"https://doi.org/10.4007/annals.2023.197.3.3\">10.4007/annals.2023.197.3.3</a>.","ista":"Browning TD, Boudec PL, Sawin W. 2023. The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. 197(3), 1115–1203.","ama":"Browning TD, Boudec PL, Sawin W. The Hasse principle for random Fano hypersurfaces. <i>Annals of Mathematics</i>. 2023;197(3):1115-1203. doi:<a href=\"https://doi.org/10.4007/annals.2023.197.3.3\">10.4007/annals.2023.197.3.3</a>","chicago":"Browning, Timothy D, Pierre Le Boudec, and Will Sawin. “The Hasse Principle for Random Fano Hypersurfaces.” <i>Annals of Mathematics</i>. Princeton University, 2023. <a href=\"https://doi.org/10.4007/annals.2023.197.3.3\">https://doi.org/10.4007/annals.2023.197.3.3</a>.","short":"T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203.","apa":"Browning, T. D., Boudec, P. L., &#38; Sawin, W. (2023). The Hasse principle for random Fano hypersurfaces. <i>Annals of Mathematics</i>. Princeton University. <a href=\"https://doi.org/10.4007/annals.2023.197.3.3\">https://doi.org/10.4007/annals.2023.197.3.3</a>"},"year":"2023","date_published":"2023-05-01T00:00:00Z","doi":"10.4007/annals.2023.197.3.3","article_processing_charge":"No","publisher":"Princeton University","publication_identifier":{"issn":["0003-486X"]},"publication_status":"published","article_type":"original","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2006.02356"}],"abstract":[{"lang":"eng","text":"It is known that the Brauer--Manin obstruction to the Hasse principle is vacuous for smooth Fano hypersurfaces of dimension at least 3 over any number field. Moreover, for such varieties it follows from a general conjecture of Colliot-Thélène that the Brauer--Manin obstruction to the Hasse principle should be the only one, so that the Hasse principle is expected to hold. Working over the field of rational numbers and ordering Fano hypersurfaces of fixed degree and dimension by height, we prove that almost every such hypersurface satisfies the Hasse principle provided that the dimension is at least 3. This proves a conjecture of Poonen and Voloch in every case except for cubic surfaces."}],"day":"01","oa_version":"Preprint","volume":197,"quality_controlled":"1","external_id":{"isi":["000966611000003"],"arxiv":["2006.02356"]}},{"acknowledgement":"This work was supported by the German Academic Exchange Service. Parts of this article were prepared at the Institut de Mathémathiques de Jussieu—Paris Rive Gauche. I wish to thank Antoine Chambert-Loir for his remarks and the institute for its hospitality, as well as the anonymous referee for several useful remarks and suggestions for improvements.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"id":"560601DA-8D36-11E9-A136-7AC1E5697425","full_name":"Wilsch, Florian Alexander","last_name":"Wilsch","first_name":"Florian Alexander","orcid":"0000-0001-7302-8256"}],"type":"journal_article","corr_author":"1","issue":"8","arxiv":1,"_id":"9034","oa":1,"intvolume":"      2023","page":"6780-6808","publication":"International Mathematics Research Notices","language":[{"iso":"eng"}],"status":"public","date_created":"2021-01-22T09:31:09Z","scopus_import":"1","isi":1,"title":"Integral points of bounded height on a log Fano threefold","date_updated":"2025-05-14T11:07:41Z","month":"04","department":[{"_id":"TiBr"}],"publication_identifier":{"issn":["1073-7928"],"eissn":["1687-0247"]},"publisher":"Oxford University Press","article_processing_charge":"No","doi":"10.1093/imrn/rnac048","publication_status":"published","date_published":"2023-04-01T00:00:00Z","year":"2023","citation":{"chicago":"Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2023. <a href=\"https://doi.org/10.1093/imrn/rnac048\">https://doi.org/10.1093/imrn/rnac048</a>.","ama":"Wilsch FA. Integral points of bounded height on a log Fano threefold. <i>International Mathematics Research Notices</i>. 2023;2023(8):6780-6808. doi:<a href=\"https://doi.org/10.1093/imrn/rnac048\">10.1093/imrn/rnac048</a>","apa":"Wilsch, F. A. (2023). Integral points of bounded height on a log Fano threefold. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnac048\">https://doi.org/10.1093/imrn/rnac048</a>","short":"F.A. Wilsch, International Mathematics Research Notices 2023 (2023) 6780–6808.","mla":"Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.” <i>International Mathematics Research Notices</i>, vol. 2023, no. 8, Oxford University Press, 2023, pp. 6780–808, doi:<a href=\"https://doi.org/10.1093/imrn/rnac048\">10.1093/imrn/rnac048</a>.","ieee":"F. 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We study weaker notions of equivalence of separated nets and demonstrate that such notions also give rise to distinct equivalence classes. Put differently, we find occurrences of particularly strong divergence of separated nets from the integer lattice. Our approach generalises that of Burago and Kleiner and McMullen which takes place largely in a continuous setting. Existence of irregular separated nets is verified via the existence of non-realisable density functions ρ:[0,1]d→(0,∞). In the present work we obtain stronger types of non-realisable densities.","lang":"eng"}],"oa_version":"Submitted Version","volume":253,"day":"01","quality_controlled":"1","external_id":{"arxiv":["1903.05923"],"isi":["000904950300003"]},"department":[{"_id":"UlWa"}],"month":"03","date_updated":"2023-08-14T11:26:34Z","isi":1,"title":"Highly irregular separated nets","citation":{"ieee":"M. Dymond and V. Kaluza, “Highly irregular separated nets,” <i>Israel Journal of Mathematics</i>, vol. 253. 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P.M.  was also supported by the Kanazawa University WPI- NanoLSI Bio-SPM collaborative research program. Z.D. has received funding from Doctoral Programme of the Austrian Academy of Sciences (OeAW): Grant agreement 26360. We thank Jan Brugues (MPI CBG, Dresden, Germany), Andela Saric (ISTA, Klosterneuburg, Austria), Daniel Pearce (Uni Geneva, Switzerland) for valuable scientific input and comments on the manuscript. We are also thankful for the support by the Scientific Service Units (SSU) of IST Austria through resources provided by the Imaging and Optics Facility (IOF) and the Lab Support Facility (LSF). 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Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"date_updated":"2026-03-17T12:02:11Z","department":[{"_id":"MaLo"},{"_id":"EdHa"},{"_id":"JoDa"}],"month":"07","title":"Chiral and nematic phases of flexible active filaments","date_published":"2023-07-26T00:00:00Z","year":"2023","citation":{"chicago":"Dunajova, Zuzana, Batirtze Prats Mateu, Philipp Radler, Keesiang Lim, Dörte Brandis, Philipp Velicky, Johann G Danzl, et al. “Chiral and Nematic Phases of Flexible Active Filaments.” Institute of Science and Technology Austria, 2023. <a href=\"https://doi.org/10.15479/AT:ISTA:13116\">https://doi.org/10.15479/AT:ISTA:13116</a>.","ama":"Dunajova Z, Prats Mateu B, Radler P, et al. Chiral and nematic phases of flexible active filaments. 2023. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:13116\">10.15479/AT:ISTA:13116</a>","apa":"Dunajova, Z., Prats Mateu, B., Radler, P., Lim, K., Brandis, D., Velicky, P., … Loose, M. (2023). Chiral and nematic phases of flexible active filaments. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:13116\">https://doi.org/10.15479/AT:ISTA:13116</a>","short":"Z. Dunajova, B. Prats Mateu, P. Radler, K. Lim, D. Brandis, P. Velicky, J.G. Danzl, R.W. Wong, J. Elgeti, E.B. Hannezo, M. Loose, (2023).","mla":"Dunajova, Zuzana, et al. <i>Chiral and Nematic Phases of Flexible Active Filaments</i>. Institute of Science and Technology Austria, 2023, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:13116\">10.15479/AT:ISTA:13116</a>.","ieee":"Z. Dunajova <i>et al.</i>, “Chiral and nematic phases of flexible active filaments.” Institute of Science and Technology Austria, 2023.","ista":"Dunajova Z, Prats Mateu B, Radler P, Lim K, Brandis D, Velicky P, Danzl JG, Wong RW, Elgeti J, Hannezo EB, Loose M. 2023. Chiral and nematic phases of flexible active filaments, Institute of Science and Technology Austria, <a href=\"https://doi.org/10.15479/AT:ISTA:13116\">10.15479/AT:ISTA:13116</a>."},"article_processing_charge":"No","publisher":"Institute of Science and Technology Austria","doi":"10.15479/AT:ISTA:13116","abstract":[{"lang":"eng","text":"The emergence of large-scale order in self-organized systems relies on local interactions between individual components. During bacterial cell division, FtsZ -- a prokaryotic homologue of the eukaryotic protein tubulin -- polymerizes into treadmilling filaments that further organize into a cytoskeletal ring. In vitro, FtsZ filaments can form dynamic chiral assemblies. However, how the active and passive properties of individual filaments relate to these large-scale self-organized structures remains poorly understood. Here, we connect single filament properties with the mesoscopic scale by combining minimal active matter simulations and biochemical reconstitution experiments. We show that density and flexibility of active chiral filaments define their global order. At intermediate densities, curved, flexible filaments organize into chiral rings and polar bands. An effectively nematic organization dominates for high densities and for straight, mutant filaments with increased rigidity. Our predicted phase diagram captures these features quantitatively, demonstrating how the flexibility, density and chirality of active filaments affect their collective behaviour. Our findings shed light on the fundamental properties of active chiral matter and explain how treadmilling FtsZ filaments organize during bacterial cell division. "}],"day":"26","oa_version":"Published Version","ec_funded":1,"project":[{"grant_number":"679239","_id":"2595697A-B435-11E9-9278-68D0E5697425","name":"Self-Organization of the Bacterial Cell","call_identifier":"H2020"},{"grant_number":"P34607","name":"In vitro reconstitution of bacterial cell division","_id":"fc38323b-9c52-11eb-aca3-ff8afb4a011d"},{"grant_number":"26360","_id":"34d75525-11ca-11ed-8bc3-89b6307fee9d","name":"Motile active matter models of migrating cells and chiral filaments"}]},{"article_type":"original","abstract":[{"lang":"eng","text":"The emergence of large-scale order in self-organized systems relies on local interactions between individual components. During bacterial cell division, FtsZ—a prokaryotic homologue of the eukaryotic protein tubulin—polymerizes into treadmilling filaments that further organize into a cytoskeletal ring. In vitro, FtsZ filaments can form dynamic chiral assemblies. However, how the active and passive properties of individual filaments relate to these large-scale self-organized structures remains poorly understood. Here we connect single-filament properties with the mesoscopic scale by combining minimal active matter simulations and biochemical reconstitution experiments. We show that the density and flexibility of active chiral filaments define their global order. At intermediate densities, curved, flexible filaments organize into chiral rings and polar bands. An effectively nematic organization dominates for high densities and for straight, mutant filaments with increased rigidity. Our predicted phase diagram quantitatively captures these features, demonstrating how the flexibility, density and chirality of the active filaments affect their collective behaviour. Our findings shed light on the fundamental properties of active chiral matter and explain how treadmilling FtsZ filaments organize during bacterial cell division."}],"ec_funded":1,"volume":19,"oa_version":"Published Version","day":"01","project":[{"grant_number":"679239","_id":"2595697A-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Self-Organization of the Bacterial Cell"},{"name":"In vitro reconstitution of bacterial cell division","_id":"fc38323b-9c52-11eb-aca3-ff8afb4a011d","grant_number":"P34607"},{"_id":"34d75525-11ca-11ed-8bc3-89b6307fee9d","name":"Motile active matter models of migrating cells and chiral filaments","grant_number":"26360"}],"external_id":{"isi":["001178645300041"],"pmid":["38075437"]},"quality_controlled":"1","month":"12","department":[{"_id":"JoDa"},{"_id":"EdHa"},{"_id":"MaLo"},{"_id":"GradSch"}],"date_updated":"2026-03-18T14:11:35Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"isi":1,"title":"Chiral and nematic phases of flexible active filaments","citation":{"ieee":"Z. Dunajova <i>et al.</i>, “Chiral and nematic phases of flexible active filaments,” <i>Nature Physics</i>, vol. 19. Springer Nature, pp. 1916–1926, 2023.","mla":"Dunajova, Zuzana, et al. “Chiral and Nematic Phases of Flexible Active Filaments.” <i>Nature Physics</i>, vol. 19, Springer Nature, 2023, pp. 1916–26, doi:<a href=\"https://doi.org/10.1038/s41567-023-02218-w\">10.1038/s41567-023-02218-w</a>.","ista":"Dunajova Z, Prats Mateu B, Radler P, Lim K, Brandis D, Velicky P, Danzl JG, Wong RW, Elgeti J, Hannezo EB, Loose M. 2023. Chiral and nematic phases of flexible active filaments. Nature Physics. 19, 1916–1926.","ama":"Dunajova Z, Prats Mateu B, Radler P, et al. Chiral and nematic phases of flexible active filaments. <i>Nature Physics</i>. 2023;19:1916-1926. doi:<a href=\"https://doi.org/10.1038/s41567-023-02218-w\">10.1038/s41567-023-02218-w</a>","chicago":"Dunajova, Zuzana, Batirtze Prats Mateu, Philipp Radler, Keesiang Lim, Dörte Brandis, Philipp Velicky, Johann G Danzl, et al. “Chiral and Nematic Phases of Flexible Active Filaments.” <i>Nature Physics</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1038/s41567-023-02218-w\">https://doi.org/10.1038/s41567-023-02218-w</a>.","short":"Z. Dunajova, B. Prats Mateu, P. Radler, K. Lim, D. Brandis, P. Velicky, J.G. Danzl, R.W. Wong, J. Elgeti, E.B. Hannezo, M. Loose, Nature Physics 19 (2023) 1916–1926.","apa":"Dunajova, Z., Prats Mateu, B., Radler, P., Lim, K., Brandis, D., Velicky, P., … Loose, M. (2023). Chiral and nematic phases of flexible active filaments. <i>Nature Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41567-023-02218-w\">https://doi.org/10.1038/s41567-023-02218-w</a>"},"date_published":"2023-12-01T00:00:00Z","year":"2023","doi":"10.1038/s41567-023-02218-w","article_processing_charge":"Yes (in subscription journal)","publisher":"Springer Nature","publication_identifier":{"eissn":["1745-2481"],"issn":["1745-2473"]},"publication_status":"published","ddc":["530"],"file":[{"success":1,"access_level":"open_access","file_size":22471673,"relation":"main_file","date_created":"2024-01-30T14:28:30Z","checksum":"bc7673ca07d37309013a86166577b2f7","file_id":"14916","creator":"dernst","date_updated":"2024-01-30T14:28:30Z","file_name":"2023_NaturePhysics_Dunajova.pdf","content_type":"application/pdf"}],"pmid":1,"page":"1916-1926","intvolume":"        19","scopus_import":"1","status":"public","date_created":"2023-07-27T14:44:45Z","language":[{"iso":"eng"}],"publication":"Nature Physics","acknowledged_ssus":[{"_id":"Bio"},{"_id":"LifeSc"}],"has_accepted_license":"1","corr_author":"1","file_date_updated":"2024-01-30T14:28:30Z","type":"journal_article","author":[{"first_name":"Zuzana","full_name":"Dunajova, Zuzana","id":"4B39F286-F248-11E8-B48F-1D18A9856A87","last_name":"Dunajova"},{"full_name":"Prats Mateu, Batirtze","id":"299FE892-F248-11E8-B48F-1D18A9856A87","last_name":"Prats Mateu","first_name":"Batirtze"},{"orcid":"0000-0001-9198-2182 ","first_name":"Philipp","last_name":"Radler","id":"40136C2A-F248-11E8-B48F-1D18A9856A87","full_name":"Radler, Philipp"},{"last_name":"Lim","full_name":"Lim, Keesiang","first_name":"Keesiang"},{"first_name":"Dörte","last_name":"Brandis","id":"21d64d35-f128-11eb-9611-b8bcca7a12fd","full_name":"Brandis, Dörte"},{"orcid":"0000-0002-2340-7431","first_name":"Philipp","id":"39BDC62C-F248-11E8-B48F-1D18A9856A87","full_name":"Velicky, Philipp","last_name":"Velicky"},{"first_name":"Johann G","orcid":"0000-0001-8559-3973","full_name":"Danzl, Johann G","id":"42EFD3B6-F248-11E8-B48F-1D18A9856A87","last_name":"Danzl"},{"first_name":"Richard W.","last_name":"Wong","full_name":"Wong, Richard W."},{"first_name":"Jens","last_name":"Elgeti","full_name":"Elgeti, Jens"},{"first_name":"Edouard B","orcid":"0000-0001-6005-1561","last_name":"Hannezo","full_name":"Hannezo, Edouard B","id":"3A9DB764-F248-11E8-B48F-1D18A9856A87"},{"id":"462D4284-F248-11E8-B48F-1D18A9856A87","full_name":"Loose, Martin","last_name":"Loose","first_name":"Martin","orcid":"0000-0001-7309-9724"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","acknowledgement":"This work was supported by the European Research Council through grant ERC 2015-StG-679239 and by the Austrian Science Fund (FWF) StandAlone P34607 to M.L., B. P.M. was also supported by the Kanazawa University WPI- NanoLSI Bio-SPM collaborative research program. Z.D. has received funding from Doctoral Programme of the Austrian Academy of Sciences (OeAW): Grant agreement 26360. We thank Jan Brugues (MPI CBG, Dresden, Germany), Andela Saric (ISTA, Klosterneuburg, Austria), Daniel Pearce (Uni Geneva, Switzerland) for valuable scientific input and comments on the manuscript. We are also thankful for the support by the Scientific Service Units (SSU) of IST Austria through resources provided by the Imaging and Optics Facility (IOF) and the Lab Support Facility (LSF).","oa":1,"related_material":{"record":[{"status":"public","id":"13116","relation":"research_data"},{"relation":"dissertation_contains","status":"public","id":"21423"},{"id":"21439","status":"public","relation":"research_data"}]},"_id":"13314"},{"date_updated":"2026-03-27T12:36:59Z","month":"07","department":[{"_id":"GradSch"},{"_id":"VlKo"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"isi":1,"article_number":"15","title":"Closure properties of general grammars - formally verified","date_published":"2023-07-27T00:00:00Z","year":"2023","citation":{"apa":"Dvorak, M., &#38; Blanchette, J. (2023). Closure properties of general grammars - formally verified. In <i>14th International Conference on Interactive Theorem Proving</i> (Vol. 268). Bialystok, Poland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.ITP.2023.15\">https://doi.org/10.4230/LIPIcs.ITP.2023.15</a>","short":"M. Dvorak, J. Blanchette, in:, 14th International Conference on Interactive Theorem Proving, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.","chicago":"Dvorak, Martin, and Jasmin Blanchette. “Closure Properties of General Grammars - Formally Verified.” In <i>14th International Conference on Interactive Theorem Proving</i>, Vol. 268. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023. <a href=\"https://doi.org/10.4230/LIPIcs.ITP.2023.15\">https://doi.org/10.4230/LIPIcs.ITP.2023.15</a>.","ama":"Dvorak M, Blanchette J. Closure properties of general grammars - formally verified. In: <i>14th International Conference on Interactive Theorem Proving</i>. Vol 268. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2023. doi:<a href=\"https://doi.org/10.4230/LIPIcs.ITP.2023.15\">10.4230/LIPIcs.ITP.2023.15</a>","ista":"Dvorak M, Blanchette J. 2023. Closure properties of general grammars - formally verified. 14th International Conference on Interactive Theorem Proving. ITP: Interactive Theorem Proving, LIPIcs, vol. 268, 15.","mla":"Dvorak, Martin, and Jasmin Blanchette. “Closure Properties of General Grammars - Formally Verified.” <i>14th International Conference on Interactive Theorem Proving</i>, vol. 268, 15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023, doi:<a href=\"https://doi.org/10.4230/LIPIcs.ITP.2023.15\">10.4230/LIPIcs.ITP.2023.15</a>.","ieee":"M. Dvorak and J. Blanchette, “Closure properties of general grammars - formally verified,” in <i>14th International Conference on Interactive Theorem Proving</i>, Bialystok, Poland, 2023, vol. 268."},"article_processing_charge":"No","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","publication_identifier":{"isbn":["9783959772846"],"eissn":["1868-8969"]},"doi":"10.4230/LIPIcs.ITP.2023.15","publication_status":"published","abstract":[{"lang":"eng","text":"We formalized general (i.e., type-0) grammars using the Lean 3 proof assistant. We defined basic notions of rewrite rules and of words derived by a grammar, and used grammars to show closure of the class of type-0 languages under four operations: union, reversal, concatenation, and the Kleene star. The literature mostly focuses on Turing machine arguments, which are possibly more difficult to formalize. For the Kleene star, we could not follow the literature and came up with our own grammar-based construction."}],"conference":{"name":"ITP: Interactive Theorem Proving","end_date":"2023-08-04","start_date":"2023-07-31","location":"Bialystok, Poland"},"day":"27","oa_version":"Published Version","volume":268,"alternative_title":["LIPIcs"],"quality_controlled":"1","external_id":{"arxiv":["2302.06420"],"isi":["001515590500015"]},"corr_author":"1","file_date_updated":"2023-08-07T11:55:43Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"orcid":"0000-0001-5293-214X","first_name":"Martin","last_name":"Dvorak","full_name":"Dvorak, Martin","id":"40ED02A8-C8B4-11E9-A9C0-453BE6697425"},{"last_name":"Blanchette","full_name":"Blanchette, Jasmin","first_name":"Jasmin"}],"acknowledgement":"Jasmin Blanchette: This research has received funding from the Netherlands Organization\r\nfor Scientific Research (NWO) under the Vidi program (project No. 016.Vidi.189.037, Lean Forward).\r\n__\r\nWe thank Vladimir Kolmogorov for making this collaboration possible. We\r\nthank Václav Končický for discussing ideas about the Kleene star construction. We thank Patrick Johnson, Floris van Doorn, and Damiano Testa for their small yet very valuable contributions to our code. We thank Eric Wieser for simplifying one of our proofs. We thank Mark Summerfield for suggesting textual improvements. We thank the anonymous reviewers for very helpful comments. Finally, we thank the Lean community for helping us with various technical issues and answering many questions. ","type":"conference","related_material":{"record":[{"id":"21393","status":"public","relation":"dissertation_contains"}],"link":[{"url":"https://github.com/madvorak/grammars/tree/publish","relation":"software"}]},"oa":1,"arxiv":1,"_id":"13120","ddc":["000"],"file":[{"success":1,"access_level":"open_access","file_size":715976,"relation":"main_file","date_created":"2023-08-07T11:55:43Z","checksum":"773a0197f05b67feaa6cb1e17ec3642d","file_id":"13982","creator":"dernst","file_name":"2023_LIPIcS_Dvorak.pdf","date_updated":"2023-08-07T11:55:43Z","content_type":"application/pdf"}],"intvolume":"       268","scopus_import":"1","status":"public","date_created":"2023-06-05T07:29:05Z","publication":"14th International Conference on Interactive Theorem Proving","language":[{"iso":"eng"}],"has_accepted_license":"1"},{"publication_identifier":{"issn":["0022-1120"],"eissn":["1469-7645"]},"publisher":"Cambridge University Press","article_processing_charge":"Yes (via OA deal)","doi":"10.1017/jfm.2023.780","publication_status":"published","date_published":"2023-11-10T00:00:00Z","year":"2023","citation":{"mla":"Marensi, Elena, et al. “Dynamics and Proliferation of Turbulent Stripes in Plane-Poiseuille and Plane-Couette Flows.” <i>Journal of Fluid Mechanics</i>, vol. 974, A21, Cambridge University Press, 2023, doi:<a href=\"https://doi.org/10.1017/jfm.2023.780\">10.1017/jfm.2023.780</a>.","ieee":"E. Marensi, G. Yalniz, and B. Hof, “Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows,” <i>Journal of Fluid Mechanics</i>, vol. 974. Cambridge University Press, 2023.","ista":"Marensi E, Yalniz G, Hof B. 2023. Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows. Journal of Fluid Mechanics. 974, A21.","chicago":"Marensi, Elena, Gökhan Yalniz, and Björn Hof. “Dynamics and Proliferation of Turbulent Stripes in Plane-Poiseuille and Plane-Couette Flows.” <i>Journal of Fluid Mechanics</i>. Cambridge University Press, 2023. <a href=\"https://doi.org/10.1017/jfm.2023.780\">https://doi.org/10.1017/jfm.2023.780</a>.","ama":"Marensi E, Yalniz G, Hof B. Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows. <i>Journal of Fluid Mechanics</i>. 2023;974. doi:<a href=\"https://doi.org/10.1017/jfm.2023.780\">10.1017/jfm.2023.780</a>","apa":"Marensi, E., Yalniz, G., &#38; Hof, B. (2023). Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows. <i>Journal of Fluid Mechanics</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/jfm.2023.780\">https://doi.org/10.1017/jfm.2023.780</a>","short":"E. Marensi, G. Yalniz, B. Hof, Journal of Fluid Mechanics 974 (2023)."},"isi":1,"article_number":"A21","title":"Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows","date_updated":"2026-04-07T11:47:05Z","month":"11","department":[{"_id":"GradSch"},{"_id":"BjHo"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"quality_controlled":"1","external_id":{"isi":["001088363700001"],"arxiv":["2212.12406"]},"project":[{"grant_number":"662960","_id":"238598C6-32DE-11EA-91FC-C7463DDC885E","name":"Revisiting the Turbulence Problem Using Statistical Mechanics"}],"oa_version":"Published Version","volume":974,"day":"10","article_type":"original","abstract":[{"text":"The first long-lived turbulent structures observable in planar shear flows take the form of localized stripes, inclined with respect to the mean flow direction. The dynamics of these stripes is central to transition, and recent studies proposed an analogy to directed percolation where the stripes’ proliferation is ultimately responsible for the turbulence becoming sustained. In the present study we focus on the internal stripe dynamics as well as on the eventual stripe expansion, and we compare the underlying mechanisms in pressure- and shear-driven planar flows, respectively, plane-Poiseuille and plane-Couette flow. Despite the similarities of the overall laminar–turbulence patterns, the stripe proliferation processes in the two cases are fundamentally different. Starting from the growth and sustenance of individual stripes, we find that in plane-Couette flow new streaks are created stochastically throughout the stripe whereas in plane-Poiseuille flow streak creation is deterministic and occurs locally at the downstream tip. Because of the up/downstream symmetry, Couette stripes, in contrast to Poiseuille stripes, have two weak and two strong laminar turbulent interfaces. These differences in symmetry as well as in internal growth give rise to two fundamentally different stripe splitting mechanisms. In plane-Poiseuille flow splitting is connected to the elongational growth of the original stripe, and it results from a break-off/shedding of the stripe's tail. In plane-Couette flow splitting follows from a broadening of the original stripe and a division along the stripe into two slimmer stripes.","lang":"eng"}],"arxiv":1,"_id":"14466","related_material":{"record":[{"relation":"dissertation_contains","id":"19684","status":"public"}]},"oa":1,"acknowledgement":"E.M. acknowledges funding from the ISTplus fellowship programme. G.Y. and B.H. acknowledge a grant from the Simons Foundation (662960, BH).","author":[{"first_name":"Elena","orcid":"0000-0001-7173-4923","last_name":"Marensi","full_name":"Marensi, Elena","id":"0BE7553A-1004-11EA-B805-18983DDC885E"},{"last_name":"Yalniz","full_name":"Yalniz, Gökhan","id":"66E74FA2-D8BF-11E9-8249-8DE2E5697425","orcid":"0000-0002-8490-9312","first_name":"Gökhan"},{"orcid":"0000-0003-2057-2754","first_name":"Björn","full_name":"Hof, Björn","id":"3A374330-F248-11E8-B48F-1D18A9856A87","last_name":"Hof"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","type":"journal_article","corr_author":"1","file_date_updated":"2024-02-15T09:05:21Z","publication":"Journal of Fluid Mechanics","language":[{"iso":"eng"}],"has_accepted_license":"1","date_created":"2023-10-30T09:32:28Z","keyword":["turbulence","transition to turbulence","patterns"],"scopus_import":"1","status":"public","intvolume":"       974","ddc":["530"],"file":[{"content_type":"application/pdf","date_updated":"2024-02-15T09:05:21Z","file_name":"2023_JourFluidMechanics_Marensi.pdf","creator":"dernst","file_id":"14996","checksum":"17c64c1fb0d5f73252364bf98b0b9e1a","date_created":"2024-02-15T09:05:21Z","file_size":2804641,"relation":"main_file","access_level":"open_access","success":1}]},{"citation":{"ista":"Marensi E, Yalniz G, Hof B, Budanur NB. 2023. Symmetry-reduced dynamic mode decomposition of near-wall turbulence. Journal of Fluid Mechanics. 954, A10.","mla":"Marensi, Elena, et al. “Symmetry-Reduced Dynamic Mode Decomposition of near-Wall Turbulence.” <i>Journal of Fluid Mechanics</i>, vol. 954, A10, Cambridge University Press, 2023, doi:<a href=\"https://doi.org/10.1017/jfm.2022.1001\">10.1017/jfm.2022.1001</a>.","ieee":"E. Marensi, G. Yalniz, B. Hof, and N. B. Budanur, “Symmetry-reduced dynamic mode decomposition of near-wall turbulence,” <i>Journal of Fluid Mechanics</i>, vol. 954. Cambridge University Press, 2023.","apa":"Marensi, E., Yalniz, G., Hof, B., &#38; Budanur, N. B. (2023). Symmetry-reduced dynamic mode decomposition of near-wall turbulence. <i>Journal of Fluid Mechanics</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/jfm.2022.1001\">https://doi.org/10.1017/jfm.2022.1001</a>","short":"E. Marensi, G. Yalniz, B. Hof, N.B. Budanur, Journal of Fluid Mechanics 954 (2023).","chicago":"Marensi, Elena, Gökhan Yalniz, Björn Hof, and Nazmi B Budanur. “Symmetry-Reduced Dynamic Mode Decomposition of near-Wall Turbulence.” <i>Journal of Fluid Mechanics</i>. Cambridge University Press, 2023. <a href=\"https://doi.org/10.1017/jfm.2022.1001\">https://doi.org/10.1017/jfm.2022.1001</a>.","ama":"Marensi E, Yalniz G, Hof B, Budanur NB. Symmetry-reduced dynamic mode decomposition of near-wall turbulence. <i>Journal of Fluid Mechanics</i>. 2023;954. doi:<a href=\"https://doi.org/10.1017/jfm.2022.1001\">10.1017/jfm.2022.1001</a>"},"year":"2023","date_published":"2023-01-10T00:00:00Z","publication_status":"published","doi":"10.1017/jfm.2022.1001","publisher":"Cambridge University Press","publication_identifier":{"eissn":["1469-7645"],"issn":["0022-1120"]},"article_processing_charge":"Yes (via OA deal)","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"department":[{"_id":"BjHo"}],"month":"01","date_updated":"2026-04-07T11:47:05Z","title":"Symmetry-reduced dynamic mode decomposition of near-wall turbulence","isi":1,"article_number":"A10","day":"10","volume":954,"oa_version":"Published Version","project":[{"name":"Revisiting the Turbulence Problem Using Statistical Mechanics","_id":"238598C6-32DE-11EA-91FC-C7463DDC885E","grant_number":"662960"}],"quality_controlled":"1","external_id":{"isi":["000903336600001"],"arxiv":["2101.07516"]},"abstract":[{"text":"Data-driven dimensionality reduction methods such as proper orthogonal decomposition and dynamic mode decomposition have proven to be useful for exploring complex phenomena within fluid dynamics and beyond. A well-known challenge for these techniques is posed by the continuous symmetries, e.g. translations and rotations, of the system under consideration, as drifts in the data dominate the modal expansions without providing an insight into the dynamics of the problem. In the present study, we address this issue for fluid flows in rectangular channels by formulating a continuous symmetry reduction method that eliminates the translations in the streamwise and spanwise directions simultaneously. We demonstrate our method by computing the symmetry-reduced dynamic mode decomposition (SRDMD) of sliding windows of data obtained from the transitional plane-Couette and turbulent plane-Poiseuille flow simulations. In the former setting, SRDMD captures the dynamics in the vicinity of the invariant solutions with translation symmetries, i.e. travelling waves and relative periodic orbits, whereas in the latter, our calculations reveal episodes of turbulent time evolution that can be approximated by a low-dimensional linear expansion.","lang":"eng"}],"article_type":"original","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"19684"}]},"oa":1,"_id":"12105","arxiv":1,"file_date_updated":"2023-02-02T12:34:54Z","corr_author":"1","type":"journal_article","acknowledgement":"E.M. acknowledges funding from the ISTplus fellowship programme. G.Y. and B.H. acknowledge\r\na grant from the Simons Foundation (662960, BH).","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"id":"0BE7553A-1004-11EA-B805-18983DDC885E","full_name":"Marensi, Elena","last_name":"Marensi","first_name":"Elena","orcid":"0000-0001-7173-4923"},{"first_name":"Gökhan","orcid":"0000-0002-8490-9312","id":"66E74FA2-D8BF-11E9-8249-8DE2E5697425","full_name":"Yalniz, Gökhan","last_name":"Yalniz"},{"first_name":"Björn","orcid":"0000-0003-2057-2754","last_name":"Hof","full_name":"Hof, Björn","id":"3A374330-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Budanur, Nazmi B","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","last_name":"Budanur","orcid":"0000-0003-0423-5010","first_name":"Nazmi B"}],"status":"public","date_created":"2023-01-08T23:00:53Z","scopus_import":"1","has_accepted_license":"1","language":[{"iso":"eng"}],"publication":"Journal of Fluid Mechanics","file":[{"creator":"dernst","file_id":"12489","date_updated":"2023-02-02T12:34:54Z","file_name":"2023_JourFluidMechanics_Marensi.pdf","content_type":"application/pdf","success":1,"access_level":"open_access","file_size":1931647,"relation":"main_file","date_created":"2023-02-02T12:34:54Z","checksum":"9224f987caefe5dd85a70814d3cce65c"}],"ddc":["530"],"intvolume":"       954"},{"status":"public","keyword":["General Physics and Astronomy"],"scopus_import":"1","date_created":"2023-07-24T09:43:59Z","publication":"Physical Review Letters","language":[{"iso":"eng"}],"pmid":1,"intvolume":"       131","oa":1,"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"19684"}]},"_id":"13274","arxiv":1,"corr_author":"1","issue":"3","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Paranjape","id":"3D85B7C4-F248-11E8-B48F-1D18A9856A87","full_name":"Paranjape, Chaitanya S","first_name":"Chaitanya S"},{"id":"66E74FA2-D8BF-11E9-8249-8DE2E5697425","full_name":"Yalniz, Gökhan","last_name":"Yalniz","first_name":"Gökhan","orcid":"0000-0002-8490-9312"},{"first_name":"Yohann","last_name":"Duguet","full_name":"Duguet, Yohann"},{"full_name":"Budanur, Nazmi B","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","last_name":"Budanur","orcid":"0000-0003-0423-5010","first_name":"Nazmi B"},{"id":"3A374330-F248-11E8-B48F-1D18A9856A87","full_name":"Hof, Björn","last_name":"Hof","first_name":"Björn","orcid":"0000-0003-2057-2754"}],"acknowledgement":"We thank Baofang Song as well as the developers of Channelflow for sharing their numerical codes, and Mukund Vasudevan and Holger Kantz for fruitful discussions. This work was supported by a grant from the Simons Foundation (662960, B. H.).","type":"journal_article","day":"21","oa_version":"Preprint","volume":131,"external_id":{"pmid":["37540883"],"arxiv":["2306.05098"],"isi":["001052929900004"]},"quality_controlled":"1","project":[{"grant_number":"662960","_id":"238598C6-32DE-11EA-91FC-C7463DDC885E","name":"Revisiting the Turbulence Problem Using Statistical Mechanics"}],"abstract":[{"lang":"eng","text":"Viscous flows through pipes and channels are steady and ordered until, with increasing velocity, the laminar motion catastrophically breaks down and gives way to turbulence. How this apparently discontinuous change from low- to high-dimensional motion can be rationalized within the framework of the Navier-Stokes equations is not well understood. Exploiting geometrical properties of transitional channel flow we trace turbulence to far lower Reynolds numbers (Re) than previously possible and identify the complete path that reversibly links fully turbulent motion to an invariant solution. This precursor of turbulence destabilizes rapidly with Re, and the accompanying explosive increase in attractor dimension effectively marks the transition between deterministic and de facto stochastic dynamics."}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2306.05098","open_access":"1"}],"article_type":"original","year":"2023","date_published":"2023-07-21T00:00:00Z","citation":{"mla":"Paranjape, Chaitanya S., et al. “Direct Path from Turbulence to Time-Periodic Solutions.” <i>Physical Review Letters</i>, vol. 131, no. 3, 034002, American Physical Society, 2023, doi:<a href=\"https://doi.org/10.1103/physrevlett.131.034002\">10.1103/physrevlett.131.034002</a>.","ieee":"C. S. Paranjape, G. Yalniz, Y. Duguet, N. B. Budanur, and B. Hof, “Direct path from turbulence to time-periodic solutions,” <i>Physical Review Letters</i>, vol. 131, no. 3. American Physical Society, 2023.","ista":"Paranjape CS, Yalniz G, Duguet Y, Budanur NB, Hof B. 2023. Direct path from turbulence to time-periodic solutions. Physical Review Letters. 131(3), 034002.","chicago":"Paranjape, Chaitanya S, Gökhan Yalniz, Yohann Duguet, Nazmi B Budanur, and Björn Hof. “Direct Path from Turbulence to Time-Periodic Solutions.” <i>Physical Review Letters</i>. American Physical Society, 2023. <a href=\"https://doi.org/10.1103/physrevlett.131.034002\">https://doi.org/10.1103/physrevlett.131.034002</a>.","ama":"Paranjape CS, Yalniz G, Duguet Y, Budanur NB, Hof B. Direct path from turbulence to time-periodic solutions. <i>Physical Review Letters</i>. 2023;131(3). doi:<a href=\"https://doi.org/10.1103/physrevlett.131.034002\">10.1103/physrevlett.131.034002</a>","apa":"Paranjape, C. S., Yalniz, G., Duguet, Y., Budanur, N. B., &#38; Hof, B. (2023). Direct path from turbulence to time-periodic solutions. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevlett.131.034002\">https://doi.org/10.1103/physrevlett.131.034002</a>","short":"C.S. Paranjape, G. Yalniz, Y. Duguet, N.B. Budanur, B. Hof, Physical Review Letters 131 (2023)."},"publication_status":"published","article_processing_charge":"No","publication_identifier":{"eissn":["1079-7114"],"issn":["0031-9007"]},"publisher":"American Physical Society","doi":"10.1103/physrevlett.131.034002","date_updated":"2026-04-07T11:47:05Z","month":"07","department":[{"_id":"GradSch"},{"_id":"BjHo"}],"title":"Direct path from turbulence to time-periodic solutions","isi":1,"article_number":"034002"},{"isi":1,"article_number":"103202","title":"Topological charges of periodically kicked molecules","month":"03","department":[{"_id":"MiLe"}],"date_updated":"2026-04-07T11:48:53Z","doi":"10.1103/PhysRevLett.130.103202","publication_identifier":{"issn":["0031-9007"],"eissn":["1079-7114"]},"publisher":"American Physical Society","article_processing_charge":"No","publication_status":"published","citation":{"ama":"Karle V, Ghazaryan A, Lemeshko M. Topological charges of periodically kicked molecules. <i>Physical Review Letters</i>. 2023;130(10). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.130.103202\">10.1103/PhysRevLett.130.103202</a>","chicago":"Karle, Volker, Areg Ghazaryan, and Mikhail Lemeshko. “Topological Charges of Periodically Kicked Molecules.” <i>Physical Review Letters</i>. American Physical Society, 2023. <a href=\"https://doi.org/10.1103/PhysRevLett.130.103202\">https://doi.org/10.1103/PhysRevLett.130.103202</a>.","short":"V. Karle, A. Ghazaryan, M. Lemeshko, Physical Review Letters 130 (2023).","apa":"Karle, V., Ghazaryan, A., &#38; Lemeshko, M. (2023). Topological charges of periodically kicked molecules. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.130.103202\">https://doi.org/10.1103/PhysRevLett.130.103202</a>","ieee":"V. Karle, A. Ghazaryan, and M. Lemeshko, “Topological charges of periodically kicked molecules,” <i>Physical Review Letters</i>, vol. 130, no. 10. American Physical Society, 2023.","mla":"Karle, Volker, et al. “Topological Charges of Periodically Kicked Molecules.” <i>Physical Review Letters</i>, vol. 130, no. 10, 103202, American Physical Society, 2023, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.130.103202\">10.1103/PhysRevLett.130.103202</a>.","ista":"Karle V, Ghazaryan A, Lemeshko M. 2023. Topological charges of periodically kicked molecules. Physical Review Letters. 130(10), 103202."},"date_published":"2023-03-10T00:00:00Z","year":"2023","article_type":"original","abstract":[{"lang":"eng","text":"We show that the simplest of existing molecules—closed-shell diatomics not interacting with one another—host topological charges when driven by periodic far-off-resonant laser pulses. A periodically kicked molecular rotor can be mapped onto a “crystalline” lattice in angular momentum space. This allows us to define quasimomenta and the band structure in the Floquet representation, by analogy with the Bloch waves of solid-state physics. Applying laser pulses spaced by 1/3 of the molecular rotational period creates a lattice with three atoms per unit cell with staggered hopping. Within the synthetic dimension of the laser strength, we discover Dirac cones with topological charges. These Dirac cones, topologically protected by reflection and time-reversal symmetry, are reminiscent of (although not equivalent to) that seen in graphene. They—and the corresponding edge states—are broadly tunable by adjusting the laser strength and can be observed in present-day experiments by measuring molecular alignment and populations of rotational levels. This paves the way to study controllable topological physics in gas-phase experiments with small molecules as well as to classify dynamical molecular states by their topological invariants."}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2206.07067"}],"project":[{"name":"Angulon: physics and applications of a new quasiparticle","_id":"2688CF98-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"801770"}],"external_id":{"pmid":["36962042"],"isi":["000957635500003"],"arxiv":["2206.07067"]},"quality_controlled":"1","ec_funded":1,"day":"10","oa_version":"Preprint","volume":130,"type":"journal_article","acknowledgement":"M. L. acknowledges support by the European Research Council (ERC) Starting Grant No. 801770 (ANGULON).","author":[{"first_name":"Volker","orcid":"0000-0002-6963-0129","id":"D7C012AE-D7ED-11E9-95E8-1EC5E5697425","full_name":"Karle, Volker","last_name":"Karle"},{"orcid":"0000-0001-9666-3543","first_name":"Areg","id":"4AF46FD6-F248-11E8-B48F-1D18A9856A87","full_name":"Ghazaryan, Areg","last_name":"Ghazaryan"},{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","full_name":"Lemeshko, Mikhail","last_name":"Lemeshko","orcid":"0000-0002-6990-7802","first_name":"Mikhail"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"10","corr_author":"1","arxiv":1,"_id":"12788","oa":1,"related_material":{"link":[{"relation":"press_release","description":"News on the ISTA website","url":"https://ista.ac.at/en/news/topology-of-rotating-molecules/"}],"record":[{"id":"19393","status":"public","relation":"dissertation_contains"}]},"pmid":1,"intvolume":"       130","language":[{"iso":"eng"}],"publication":"Physical Review Letters","scopus_import":"1","date_created":"2023-04-02T22:01:10Z","status":"public"},{"year":"2023","date_published":"2023-03-29T00:00:00Z","citation":{"short":"J. Svoboda, J. Tkadlec, K. Kaveh, K. Chatterjee, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 479 (2023).","apa":"Svoboda, J., Tkadlec, J., Kaveh, K., &#38; Chatterjee, K. (2023). Coexistence times in the Moran process with environmental heterogeneity. <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. The Royal Society. <a href=\"https://doi.org/10.1098/rspa.2022.0685\">https://doi.org/10.1098/rspa.2022.0685</a>","ama":"Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. Coexistence times in the Moran process with environmental heterogeneity. <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. 2023;479(2271). doi:<a href=\"https://doi.org/10.1098/rspa.2022.0685\">10.1098/rspa.2022.0685</a>","chicago":"Svoboda, Jakub, Josef Tkadlec, Kamran Kaveh, and Krishnendu Chatterjee. “Coexistence Times in the Moran Process with Environmental Heterogeneity.” <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. The Royal Society, 2023. <a href=\"https://doi.org/10.1098/rspa.2022.0685\">https://doi.org/10.1098/rspa.2022.0685</a>.","ista":"Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. 2023. Coexistence times in the Moran process with environmental heterogeneity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 479(2271), 20220685.","ieee":"J. Svoboda, J. Tkadlec, K. Kaveh, and K. Chatterjee, “Coexistence times in the Moran process with environmental heterogeneity,” <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>, vol. 479, no. 2271. The Royal Society, 2023.","mla":"Svoboda, Jakub, et al. “Coexistence Times in the Moran Process with Environmental Heterogeneity.” <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>, vol. 479, no. 2271, 20220685, The Royal Society, 2023, doi:<a href=\"https://doi.org/10.1098/rspa.2022.0685\">10.1098/rspa.2022.0685</a>."},"publication_status":"published","article_processing_charge":"No","publication_identifier":{"eissn":["1471-2946"],"issn":["1364-5021"]},"publisher":"The Royal Society","doi":"10.1098/rspa.2022.0685","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"date_updated":"2026-04-07T11:49:11Z","department":[{"_id":"KrCh"}],"month":"03","title":"Coexistence times in the Moran process with environmental heterogeneity","article_number":"20220685","isi":1,"oa_version":"Published Version","day":"29","volume":479,"ec_funded":1,"quality_controlled":"1","external_id":{"isi":["000957125500002"]},"project":[{"call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818"}],"abstract":[{"lang":"eng","text":"Populations evolve in spatially heterogeneous environments. While a certain trait might bring a fitness advantage in some patch of the environment, a different trait might be advantageous in another patch. Here, we study the Moran birth–death process with two types of individuals in a population stretched across two patches of size N, each patch favouring one of the two types. We show that the long-term fate of such populations crucially depends on the migration rate μ\r\n between the patches. To classify the possible fates, we use the distinction between polynomial (short) and exponential (long) timescales. We show that when μ is high then one of the two types fixates on the whole population after a number of steps that is only polynomial in N. By contrast, when μ is low then each type holds majority in the patch where it is favoured for a number of steps that is at least exponential in N. Moreover, we precisely identify the threshold migration rate μ⋆ that separates those two scenarios, thereby exactly delineating the situations that support long-term coexistence of the two types. We also discuss the case of various cycle graphs and we present computer simulations that perfectly match our analytical results."}],"article_type":"original","related_material":{"link":[{"relation":"research_data","url":"https://doi.org/10.6084/m9.figshare.21261771.v1"}],"record":[{"relation":"dissertation_contains","status":"public","id":"20138"}]},"oa":1,"_id":"12787","file_date_updated":"2023-04-03T06:25:29Z","issue":"2271","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","acknowledgement":"J.S. and K.C. acknowledge support from the ERC CoG 863818 (ForM-SMArt)","author":[{"orcid":"0000-0002-1419-3267","first_name":"Jakub","last_name":"Svoboda","full_name":"Svoboda, Jakub","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425"},{"last_name":"Tkadlec","full_name":"Tkadlec, Josef","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","first_name":"Josef","orcid":"0000-0002-1097-9684"},{"first_name":"Kamran","last_name":"Kaveh","full_name":"Kaveh, Kamran"},{"full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","orcid":"0000-0002-4561-241X","first_name":"Krishnendu"}],"type":"journal_article","scopus_import":"1","status":"public","date_created":"2023-04-02T22:01:09Z","has_accepted_license":"1","publication":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","language":[{"iso":"eng"}],"file":[{"date_created":"2023-04-03T06:25:29Z","checksum":"13953d349fbefcb5d21ccc6b303297eb","success":1,"access_level":"open_access","relation":"main_file","file_size":827784,"file_name":"2023_ProceedingsRoyalSocietyA_Svoboda.pdf","date_updated":"2023-04-03T06:25:29Z","content_type":"application/pdf","creator":"dernst","file_id":"12796"}],"ddc":["000"],"intvolume":"       479"},{"citation":{"ieee":"M. Freire, M. Bhargava, C. Schreck, P.-A. Hugron, B. Bickel, and S. Lefebvre, “PCBend: Light up your 3D shapes with foldable circuit boards,” <i>Transactions on Graphics</i>, vol. 42, no. 4. Association for Computing Machinery, 2023.","mla":"Freire, Marco, et al. “PCBend: Light up Your 3D Shapes with Foldable Circuit Boards.” <i>Transactions on Graphics</i>, vol. 42, no. 4, 142, Association for Computing Machinery, 2023, doi:<a href=\"https://doi.org/10.1145/3592411\">10.1145/3592411</a>.","ista":"Freire M, Bhargava M, Schreck C, Hugron P-A, Bickel B, Lefebvre S. 2023. PCBend: Light up your 3D shapes with foldable circuit boards. Transactions on Graphics. 42(4), 142.","ama":"Freire M, Bhargava M, Schreck C, Hugron P-A, Bickel B, Lefebvre S. PCBend: Light up your 3D shapes with foldable circuit boards. <i>Transactions on Graphics</i>. 2023;42(4). doi:<a href=\"https://doi.org/10.1145/3592411\">10.1145/3592411</a>","chicago":"Freire, Marco, Manas Bhargava, Camille Schreck, Pierre-Alexandre Hugron, Bernd Bickel, and Sylvain Lefebvre. “PCBend: Light up Your 3D Shapes with Foldable Circuit Boards.” <i>Transactions on Graphics</i>. Association for Computing Machinery, 2023. <a href=\"https://doi.org/10.1145/3592411\">https://doi.org/10.1145/3592411</a>.","short":"M. Freire, M. Bhargava, C. Schreck, P.-A. Hugron, B. Bickel, S. Lefebvre, Transactions on Graphics 42 (2023).","apa":"Freire, M., Bhargava, M., Schreck, C., Hugron, P.-A., Bickel, B., &#38; Lefebvre, S. (2023). PCBend: Light up your 3D shapes with foldable circuit boards. <i>Transactions on Graphics</i>. Los Angeles, CA, United States: Association for Computing Machinery. <a href=\"https://doi.org/10.1145/3592411\">https://doi.org/10.1145/3592411</a>"},"date_published":"2023-07-26T00:00:00Z","year":"2023","publication_status":"published","doi":"10.1145/3592411","publication_identifier":{"eissn":["1557-7368"],"issn":["0730-0301"]},"publisher":"Association for Computing Machinery","article_processing_charge":"No","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"department":[{"_id":"GradSch"},{"_id":"BeBi"}],"month":"07","date_updated":"2026-04-07T11:50:09Z","title":"PCBend: Light up your 3D shapes with foldable circuit boards","article_number":"142","isi":1,"volume":42,"oa_version":"Submitted Version","day":"26","ec_funded":1,"project":[{"grant_number":"715767","_id":"24F9549A-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and Modeling"}],"quality_controlled":"1","external_id":{"isi":["001044671300108"]},"abstract":[{"lang":"eng","text":"We propose a computational design approach for covering a surface with individually addressable RGB LEDs, effectively forming a low-resolution surface screen. To achieve a low-cost and scalable approach, we propose creating designs from flat PCB panels bent in-place along the surface of a 3D printed core. Working with standard rigid PCBs enables the use of\r\nestablished PCB manufacturing services, allowing the fabrication of designs with several hundred LEDs. \r\nOur approach optimizes the PCB geometry for folding, and then jointly optimizes the LED packing, circuit and routing, solving a challenging layout problem under strict manufacturing requirements. Unlike paper, PCBs cannot bend beyond a certain point without breaking. Therefore, we introduce parametric cut patterns acting as hinges, designed to allow bending while remaining compact. To tackle the joint optimization of placement, circuit and routing, we propose a specialized algorithm that splits the global problem into one sub-problem per triangle, which is then individually solved.\r\nOur technique generates PCB blueprints in a completely automated way. After being fabricated by a PCB manufacturing service, the boards are bent and glued by the user onto the 3D printed support. We demonstrate our technique on a range of physical models and virtual examples, creating intricate surface light patterns from hundreds of LEDs."}],"article_type":"original","conference":{"name":"SIGGRAPH: Computer Graphics and Interactive Techniques Conference","end_date":"2023-08-10","location":"Los Angeles, CA, United States","start_date":"2023-08-06"},"oa":1,"related_material":{"record":[{"relation":"dissertation_contains","id":"20276","status":"public"}]},"_id":"13049","file_date_updated":"2023-06-20T12:20:51Z","issue":"4","corr_author":"1","type":"journal_article","author":[{"first_name":"Marco","full_name":"Freire, Marco","last_name":"Freire"},{"orcid":"0009-0007-6138-6890","first_name":"Manas","full_name":"Bhargava, Manas","id":"FF8FA64C-AA6A-11E9-99AD-50D4E5697425","last_name":"Bhargava"},{"id":"2B14B676-F248-11E8-B48F-1D18A9856A87","full_name":"Schreck, Camille","last_name":"Schreck","first_name":"Camille"},{"last_name":"Hugron","full_name":"Hugron, Pierre-Alexandre","first_name":"Pierre-Alexandre"},{"first_name":"Bernd","orcid":"0000-0001-6511-9385","id":"49876194-F248-11E8-B48F-1D18A9856A87","full_name":"Bickel, Bernd","last_name":"Bickel"},{"full_name":"Lefebvre, Sylvain","last_name":"Lefebvre","first_name":"Sylvain"}],"acknowledgement":"We thank the reviewers for the valuable feedback. We also thank the Miba Machine Shop at ISTA, PCBWay, and PragoBoard for helping us with fabrication and assembly. This project was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 715767 – MATERIALIZABLE).","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","date_created":"2023-05-22T08:37:04Z","keyword":["PCB design and layout","Mesh geometry models"],"scopus_import":"1","status":"public","acknowledged_ssus":[{"_id":"M-Shop"}],"has_accepted_license":"1","language":[{"iso":"eng"}],"publication":"Transactions on Graphics","file":[{"access_level":"open_access","success":1,"file_size":78940724,"relation":"main_file","date_created":"2023-06-19T11:02:23Z","checksum":"a0b0ba3b36f43a94388e8824613d812a","creator":"dernst","file_id":"13156","date_updated":"2023-06-19T11:02:23Z","file_name":"2023_ACMToG_Freire.pdf","content_type":"application/pdf"},{"creator":"dernst","file_id":"13157","content_type":"application/pdf","file_name":"2023_ACMToG_SuppMaterial_Freire.pdf","date_updated":"2023-06-20T12:20:51Z","relation":"main_file","file_size":34345905,"success":1,"access_level":"open_access","checksum":"b9206bbb67af82df49b7e7cdbde3410c","date_created":"2023-06-20T12:20:51Z"}],"ddc":["006"],"intvolume":"        42"},{"language":[{"iso":"eng"}],"publication":"arXiv","external_id":{"arxiv":["2311.06103"]},"date_created":"2024-02-28T17:59:32Z","status":"public","day":"10","oa_version":"Preprint","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2311.06103","open_access":"1"}],"abstract":[{"text":"A crucial property for achieving secure, trustworthy and interpretable deep learning systems is their robustness: small changes to a system's inputs should not result in large changes to its outputs. Mathematically, this means one strives for networks with a small Lipschitz constant. Several recent works have focused on how to construct such Lipschitz networks, typically by imposing constraints on the weight matrices. In this work, we study an orthogonal aspect, namely the role of the activation function. We show that commonly used activation functions, such as MaxMin, as well as all piece-wise linear ones with two segments unnecessarily restrict the class of representable functions, even in the simplest one-dimensional setting. We furthermore introduce the new N-activation function that is provably more expressive than currently popular activation functions. We provide code at this https URL.","lang":"eng"}],"arxiv":1,"doi":"10.48550/ARXIV.2311.06103","article_processing_charge":"No","publication_status":"draft","OA_place":"repository","_id":"15039","citation":{"mla":"Prach, Bernd, and Christoph Lampert. “1-Lipschitz Neural Networks Are More Expressive with N-Activations.” <i>ArXiv</i>, 2311.06103, doi:<a href=\"https://doi.org/10.48550/ARXIV.2311.06103\">10.48550/ARXIV.2311.06103</a>.","ieee":"B. Prach and C. Lampert, “1-Lipschitz neural networks are more expressive with N-activations,” <i>arXiv</i>. .","ista":"Prach B, Lampert C. 1-Lipschitz neural networks are more expressive with N-activations. arXiv, 2311.06103.","chicago":"Prach, Bernd, and Christoph Lampert. “1-Lipschitz Neural Networks Are More Expressive with N-Activations.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/ARXIV.2311.06103\">https://doi.org/10.48550/ARXIV.2311.06103</a>.","ama":"Prach B, Lampert C. 1-Lipschitz neural networks are more expressive with N-activations. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/ARXIV.2311.06103\">10.48550/ARXIV.2311.06103</a>","apa":"Prach, B., &#38; Lampert, C. (n.d.). 1-Lipschitz neural networks are more expressive with N-activations. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2311.06103\">https://doi.org/10.48550/ARXIV.2311.06103</a>","short":"B. Prach, C. Lampert, ArXiv (n.d.)."},"oa":1,"related_material":{"record":[{"id":"19759","status":"public","relation":"dissertation_contains"}]},"date_published":"2023-11-10T00:00:00Z","year":"2023","type":"preprint","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","author":[{"id":"2D561D42-C427-11E9-89B4-9C1AE6697425","full_name":"Prach, Bernd","last_name":"Prach","first_name":"Bernd"},{"full_name":"Lampert, Christoph","id":"40C20FD2-F248-11E8-B48F-1D18A9856A87","last_name":"Lampert","orcid":"0000-0001-8622-7887","first_name":"Christoph"}],"article_number":"2311.06103","title":"1-Lipschitz neural networks are more expressive with N-activations","month":"11","department":[{"_id":"GradSch"},{"_id":"ChLa"}],"date_updated":"2026-04-07T11:49:51Z","corr_author":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"}},{"language":[{"iso":"eng"}],"publication":"Molecular Plant","has_accepted_license":"1","acknowledged_ssus":[{"_id":"LifeSc"},{"_id":"Bio"}],"date_created":"2023-07-12T07:32:46Z","status":"public","scopus_import":"1","pmid":1,"intvolume":"        16","page":"1117-1119","ddc":["580"],"file":[{"date_updated":"2024-01-29T10:37:05Z","file_name":"2023_MolecularPlant_Chen.pdf","content_type":"application/pdf","file_id":"14894","creator":"dernst","date_created":"2024-01-29T10:37:05Z","checksum":"6012b7e4a2f680ee6c1f84001e2b945f","success":1,"access_level":"open_access","file_size":1000871,"relation":"main_file"}],"_id":"13212","related_material":{"record":[{"id":"19478","status":"public","relation":"dissertation_contains"}]},"oa":1,"type":"journal_article","author":[{"first_name":"Huihuang","id":"83c96512-15b2-11ec-abd3-b7eede36184f","full_name":"Chen, Huihuang","last_name":"Chen"},{"orcid":"0000-0002-5607-272X","first_name":"Lanxin","last_name":"Li","full_name":"Li, Lanxin","id":"367EF8FA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Zou","id":"5c243f41-03f3-11ec-841c-96faf48a7ef9","full_name":"Zou, Minxia","first_name":"Minxia"},{"last_name":"Qi","id":"44B04502-A9ED-11E9-B6FC-583AE6697425","full_name":"Qi, Linlin","orcid":"0000-0001-5187-8401","first_name":"Linlin"},{"orcid":"0000-0002-8302-7596","first_name":"Jiří","id":"4159519E-F248-11E8-B48F-1D18A9856A87","full_name":"Friml, Jiří","last_name":"Friml"}],"acknowledgement":"We thank all the authors for sharing the published materials. This research was supported by the Lab Support Facility and the Imaging and Optics Facility of ISTA. We thank Lukáš Fiedler (ISTA) for critical reading of the manuscript. This project was funded by the European Research Council Advanced Grant (ETAP-742985).","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"7","corr_author":"1","file_date_updated":"2024-01-29T10:37:05Z","project":[{"name":"Tracing Evolution of Auxin Transport and Polarity in Plants","call_identifier":"H2020","_id":"261099A6-B435-11E9-9278-68D0E5697425","grant_number":"742985"}],"quality_controlled":"1","external_id":{"pmid":["37393433"],"isi":["001044410900001"]},"ec_funded":1,"volume":16,"day":"01","oa_version":"Published Version","article_type":"letter_note","abstract":[{"text":"Auxin is the major plant hormone regulating growth and development (Friml, 2022). Forward genetic approaches in the model plant Arabidopsis thaliana have identified major components of auxin signalling and established the canonical mechanism mediating transcriptional and thus developmental reprogramming. In this textbook view, TRANSPORT INHIBITOR RESPONSE 1 (TIR1)/AUXIN-SIGNALING F-BOX (AFBs) are auxin receptors, which act as F-box subunits determining the substrate specificity of the Skp1-Cullin1-F box protein (SCF) type E3 ubiquitin ligase complex. Auxin acts as a “molecular glue” increasing the affinity between TIR1/AFBs and the Aux/IAA repressors. Subsequently, Aux/IAAs are ubiquitinated and degraded, thus releasing auxin transcription factors from their repression making them free to mediate transcription of auxin response genes (Yu et al., 2022). Nonetheless, accumulating evidence suggests existence of rapid, non-transcriptional responses downstream of TIR1/AFBs such as auxin-induced cytosolic calcium (Ca2+) transients, plasma membrane depolarization and apoplast alkalinisation, all converging on the process of root growth inhibition and root gravitropism (Li et al., 2022). Particularly, these rapid responses are mostly contributed by predominantly cytosolic AFB1, while the long-term growth responses are mediated by mainly nuclear TIR1 and AFB2-AFB5 (Li et al., 2021; Prigge et al., 2020; Serre et al., 2021). How AFB1 conducts auxin-triggered rapid responses and how it is different from TIR1 and AFB2-AFB5 remains elusive. Here, we compare the roles of TIR1 and AFB1 in transcriptional and rapid responses by modulating their subcellular localization in Arabidopsis and by testing their ability to mediate transcriptional responses when part of the minimal auxin circuit reconstituted in yeast.","lang":"eng"}],"doi":"10.1016/j.molp.2023.06.007","publication_identifier":{"eissn":["1674-2052"],"issn":["1752-9867"]},"article_processing_charge":"Yes (via OA deal)","publisher":"Elsevier ","publication_status":"published","citation":{"apa":"Chen, H., Li, L., Zou, M., Qi, L., &#38; Friml, J. (2023). Distinct functions of TIR1 and AFB1 receptors in auxin signalling. <i>Molecular Plant</i>. Elsevier . <a href=\"https://doi.org/10.1016/j.molp.2023.06.007\">https://doi.org/10.1016/j.molp.2023.06.007</a>","short":"H. Chen, L. Li, M. Zou, L. Qi, J. Friml, Molecular Plant 16 (2023) 1117–1119.","chicago":"Chen, Huihuang, Lanxin Li, Minxia Zou, Linlin Qi, and Jiří Friml. “Distinct Functions of TIR1 and AFB1 Receptors in Auxin Signalling.” <i>Molecular Plant</i>. Elsevier , 2023. <a href=\"https://doi.org/10.1016/j.molp.2023.06.007\">https://doi.org/10.1016/j.molp.2023.06.007</a>.","ama":"Chen H, Li L, Zou M, Qi L, Friml J. Distinct functions of TIR1 and AFB1 receptors in auxin signalling. <i>Molecular Plant</i>. 2023;16(7):1117-1119. doi:<a href=\"https://doi.org/10.1016/j.molp.2023.06.007\">10.1016/j.molp.2023.06.007</a>","ista":"Chen H, Li L, Zou M, Qi L, Friml J. 2023. Distinct functions of TIR1 and AFB1 receptors in auxin signalling. Molecular Plant. 16(7), 1117–1119.","mla":"Chen, Huihuang, et al. “Distinct Functions of TIR1 and AFB1 Receptors in Auxin Signalling.” <i>Molecular Plant</i>, vol. 16, no. 7, Elsevier , 2023, pp. 1117–19, doi:<a href=\"https://doi.org/10.1016/j.molp.2023.06.007\">10.1016/j.molp.2023.06.007</a>.","ieee":"H. Chen, L. Li, M. Zou, L. Qi, and J. Friml, “Distinct functions of TIR1 and AFB1 receptors in auxin signalling.,” <i>Molecular Plant</i>, vol. 16, no. 7. Elsevier , pp. 1117–1119, 2023."},"date_published":"2023-07-01T00:00:00Z","year":"2023","isi":1,"title":"Distinct functions of TIR1 and AFB1 receptors in auxin signalling.","month":"07","department":[{"_id":"JiFr"}],"date_updated":"2026-04-07T11:51:24Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png","short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)"}},{"abstract":[{"text":"The safety-liveness dichotomy is a fundamental concept in formal languages which plays a key role in verification. Recently, this dichotomy has been lifted to quantitative properties, which are arbitrary functions from infinite words to partially-ordered domains. We look into harnessing the dichotomy for the specific classes of quantitative properties expressed by quantitative automata. These automata contain finitely many states and rational-valued transition weights, and their common value functions Inf, Sup, LimInf, LimSup, LimInfAvg, LimSupAvg, and DSum map infinite words into the totallyordered domain of real numbers. In this automata-theoretic setting, we establish a connection between quantitative safety and topological continuity and provide an alternative characterization of quantitative safety and liveness in terms of their boolean counterparts. For all common value functions, we show how the safety closure of a quantitative automaton can be constructed in PTime, and we provide PSpace-complete checks of whether a given quantitative automaton is safe or live, with the exception of LimInfAvg and LimSupAvg automata, for which the safety check is in ExpSpace. Moreover, for deterministic Sup, LimInf, and LimSup automata, we give PTime decompositions into safe and live automata. These decompositions enable the separation of techniques for safety and liveness verification for quantitative specifications.","lang":"eng"}],"conference":{"start_date":"2023-09-18","location":"Antwerp, Belgium","name":"CONCUR: Conference on Concurrency Theory","end_date":"2023-09-23"},"oa_version":"Published Version","volume":279,"day":"01","ec_funded":1,"project":[{"name":"Vigilant Algorithmic Monitoring of Software","_id":"62781420-2b32-11ec-9570-8d9b63373d4d","call_identifier":"H2020","grant_number":"101020093"}],"quality_controlled":"1","external_id":{"isi":["001570542500017"],"arxiv":["2307.06016"]},"alternative_title":["LIPIcs"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"month":"09","department":[{"_id":"GradSch"},{"_id":"ToHe"}],"date_updated":"2026-04-07T12:02:57Z","title":"Safety and liveness of quantitative automata","isi":1,"article_number":"17","citation":{"ista":"Boker U, Henzinger TA, Mazzocchi NA, Sarac NE. 2023. Safety and liveness of quantitative automata. 34th International Conference on Concurrency Theory. CONCUR: Conference on Concurrency Theory, LIPIcs, vol. 279, 17.","ieee":"U. Boker, T. A. Henzinger, N. A. Mazzocchi, and N. E. Sarac, “Safety and liveness of quantitative automata,” in <i>34th International Conference on Concurrency Theory</i>, Antwerp, Belgium, 2023, vol. 279.","mla":"Boker, Udi, et al. “Safety and Liveness of Quantitative Automata.” <i>34th International Conference on Concurrency Theory</i>, vol. 279, 17, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023, doi:<a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2023.17\">10.4230/LIPIcs.CONCUR.2023.17</a>.","short":"U. Boker, T.A. Henzinger, N.A. Mazzocchi, N.E. Sarac, in:, 34th International Conference on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.","apa":"Boker, U., Henzinger, T. A., Mazzocchi, N. A., &#38; Sarac, N. E. (2023). Safety and liveness of quantitative automata. In <i>34th International Conference on Concurrency Theory</i> (Vol. 279). Antwerp, Belgium: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2023.17\">https://doi.org/10.4230/LIPIcs.CONCUR.2023.17</a>","ama":"Boker U, Henzinger TA, Mazzocchi NA, Sarac NE. Safety and liveness of quantitative automata. In: <i>34th International Conference on Concurrency Theory</i>. Vol 279. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2023. doi:<a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2023.17\">10.4230/LIPIcs.CONCUR.2023.17</a>","chicago":"Boker, Udi, Thomas A Henzinger, Nicolas Adrien Mazzocchi, and Naci E Sarac. “Safety and Liveness of Quantitative Automata.” In <i>34th International Conference on Concurrency Theory</i>, Vol. 279. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023. <a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2023.17\">https://doi.org/10.4230/LIPIcs.CONCUR.2023.17</a>."},"date_published":"2023-09-01T00:00:00Z","year":"2023","publication_status":"published","doi":"10.4230/LIPIcs.CONCUR.2023.17","publication_identifier":{"eissn":["1868-8969"],"isbn":["9783959772990"]},"article_processing_charge":"No","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","file":[{"creator":"esarac","file_id":"13224","date_updated":"2023-07-14T12:03:48Z","file_name":"CONCUR23.pdf","content_type":"application/pdf","success":1,"access_level":"open_access","file_size":755529,"relation":"main_file","date_created":"2023-07-14T12:03:48Z","checksum":"d40e57a04448ea5c77d7e1cfb9590a81"}],"ddc":["000"],"intvolume":"       279","date_created":"2023-07-14T10:00:15Z","status":"public","scopus_import":"1","has_accepted_license":"1","language":[{"iso":"eng"}],"publication":"34th International Conference on Concurrency Theory","file_date_updated":"2023-07-14T12:03:48Z","corr_author":"1","type":"conference","acknowledgement":"We thank Christof Löding for pointing us to some results on PSpace-hardess of universality problems and the anonymous reviewers for their helpful comments. This work was supported in part by the ERC-2020-AdG 101020093 and the Israel Science Foundation grant 2410/22.","author":[{"first_name":"Udi","full_name":"Boker, Udi","id":"31E297B6-F248-11E8-B48F-1D18A9856A87","last_name":"Boker"},{"last_name":"Henzinger","full_name":"Henzinger, Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas A","orcid":"0000-0002-2985-7724"},{"last_name":"Mazzocchi","id":"b26baa86-3308-11ec-87b0-8990f34baa85","full_name":"Mazzocchi, Nicolas Adrien","first_name":"Nicolas Adrien"},{"full_name":"Sarac, Naci E","id":"8C6B42F8-C8E6-11E9-A03A-F2DCE5697425","last_name":"Sarac","first_name":"Naci E"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"related_material":{"record":[{"relation":"later_version","id":"20342","status":"public"},{"status":"public","id":"20147","relation":"dissertation_contains"}]},"_id":"13221","arxiv":1}]