[{"citation":{"mla":"Brighi, Pietro, et al. “Stability of Mobility Edges in Disordered Interacting Systems.” <i>Physical Review B</i>, vol. 102, no. 6, 060202(R), American Physical Society, 2020, doi:<a href=\"https://doi.org/10.1103/physrevb.102.060202\">10.1103/physrevb.102.060202</a>.","chicago":"Brighi, Pietro, Dmitry A. Abanin, and Maksym Serbyn. “Stability of Mobility Edges in Disordered Interacting Systems.” <i>Physical Review B</i>. American Physical Society, 2020. <a href=\"https://doi.org/10.1103/physrevb.102.060202\">https://doi.org/10.1103/physrevb.102.060202</a>.","apa":"Brighi, P., Abanin, D. A., &#38; Serbyn, M. (2020). Stability of mobility edges in disordered interacting systems. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevb.102.060202\">https://doi.org/10.1103/physrevb.102.060202</a>","ieee":"P. Brighi, D. A. Abanin, and M. Serbyn, “Stability of mobility edges in disordered interacting systems,” <i>Physical Review B</i>, vol. 102, no. 6. American Physical Society, 2020.","ista":"Brighi P, Abanin DA, Serbyn M. 2020. Stability of mobility edges in disordered interacting systems. Physical Review B. 102(6), 060202(R).","ama":"Brighi P, Abanin DA, Serbyn M. Stability of mobility edges in disordered interacting systems. <i>Physical Review B</i>. 2020;102(6). doi:<a href=\"https://doi.org/10.1103/physrevb.102.060202\">10.1103/physrevb.102.060202</a>","short":"P. Brighi, D.A. Abanin, M. Serbyn, Physical Review B 102 (2020)."},"type":"journal_article","publication":"Physical Review B","file_date_updated":"2020-08-26T19:29:00Z","date_updated":"2026-04-07T13:26:31Z","quality_controlled":"1","date_created":"2020-08-26T19:27:42Z","article_type":"original","volume":102,"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"relation":"dissertation_contains","id":"12732","status":"public"}]},"publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"has_accepted_license":"1","department":[{"_id":"MaSe"}],"_id":"8308","isi":1,"article_number":"060202(R)","language":[{"iso":"eng"}],"month":"08","ddc":["530"],"intvolume":"       102","corr_author":"1","status":"public","year":"2020","scopus_import":"1","abstract":[{"text":"Many-body localization provides a mechanism to avoid thermalization in isolated interacting quantum systems. The breakdown of thermalization may be complete, when all eigenstates in the many-body spectrum become localized, or partial, when the so-called many-body mobility edge separates localized and delocalized parts of the spectrum. Previously, De Roeck et al. [Phys. Rev. B 93, 014203 (2016)] suggested a possible instability of the many-body mobility edge in energy density. The local ergodic regions—so-called “bubbles”—resonantly spread throughout the system, leading to delocalization. In order to study such instability mechanism, in this work we design a model featuring many-body mobility edge in particle density: the states at small particle density are localized, while increasing the density of particles leads to delocalization. Using numerical simulations with matrix product states, we demonstrate the stability of many-body localization with respect to small bubbles in large dilute systems for experimentally relevant timescales. In addition, we demonstrate that processes where the bubble spreads are favored over processes that lead to resonant tunneling, suggesting a possible mechanism behind the observed stability of many-body mobility edge. We conclude by proposing experiments to probe particle density mobility edge in the Bose-Hubbard model.","lang":"eng"}],"publication_status":"published","OA_place":"repository","day":"26","article_processing_charge":"No","file":[{"date_created":"2020-08-26T19:28:55Z","content_type":"application/pdf","date_updated":"2020-08-26T19:28:55Z","success":1,"checksum":"716442fa7861323fcc80b93718ca009c","access_level":"open_access","file_size":488825,"file_id":"8309","relation":"main_file","creator":"mserbyn","file_name":"PhysRevB.102.060202.pdf"},{"file_name":"Supplementary-mbme.pdf","relation":"main_file","creator":"mserbyn","success":1,"checksum":"be0abdc8f60fe065ea6dc92e08487122","access_level":"open_access","file_size":711405,"file_id":"8310","date_created":"2020-08-26T19:29:00Z","date_updated":"2020-08-26T19:29:00Z","content_type":"application/pdf"}],"date_published":"2020-08-26T00:00:00Z","arxiv":1,"author":[{"first_name":"Pietro","full_name":"Brighi, Pietro","orcid":"0000-0002-7969-2729","id":"4115AF5C-F248-11E8-B48F-1D18A9856A87","last_name":"Brighi"},{"full_name":"Abanin, Dmitry A.","first_name":"Dmitry A.","last_name":"Abanin"},{"full_name":"Serbyn, Maksym","first_name":"Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2399-5827","last_name":"Serbyn"}],"publisher":"American Physical Society","OA_type":"green","title":"Stability of mobility edges in disordered interacting systems","doi":"10.1103/physrevb.102.060202","oa_version":"Preprint","acknowledgement":"Acknowledgments. We acknowledge useful discussions with W. De Roeck and A. Michailidis. P.B. was supported by the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 665385. D.A. was supported by the Swiss National Science Foundation. M.S. was supported by European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (Grant Agreement No. 850899). This work benefited from visits to KITP, supported by the National Science Foundation under Grant No. NSF PHY-1748958 and from the program “Thermalization, Many Body Localization and Hydrodynamics” at International Centre for Theoretical Sciences (Code: ICTS/hydrodynamics2019/11).","issue":"6","ec_funded":1,"external_id":{"isi":["000562628300001"],"arxiv":["2005.02999"]},"project":[{"call_identifier":"H2020","name":"International IST Doctoral Program","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385"},{"grant_number":"850899","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","call_identifier":"H2020"}]},{"oa":1,"volume":117,"article_type":"original","related_material":{"record":[{"relation":"dissertation_contains","id":"12726","status":"public"},{"id":"14530","relation":"dissertation_contains","status":"public"}],"link":[{"relation":"press_release","url":"https://ist.ac.at/en/news/blood-flows-more-turbulent-than-previously-expected/","description":"News on IST Homepage"}]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","type":"journal_article","citation":{"mla":"Xu, Duo, et al. “Nonlinear Hydrodynamic Instability and Turbulence in Pulsatile Flow.” <i>Proceedings of the National Academy of Sciences of the United States of America</i>, vol. 117, no. 21, National Academy of Sciences, 2020, pp. 11233–39, doi:<a href=\"https://doi.org/10.1073/pnas.1913716117\">10.1073/pnas.1913716117</a>.","chicago":"Xu, Duo, Atul Varshney, Xingyu Ma, Baofang Song, Michael Riedl, Marc Avila, and Björn Hof. “Nonlinear Hydrodynamic Instability and Turbulence in Pulsatile Flow.” <i>Proceedings of the National Academy of Sciences of the United States of America</i>. National Academy of Sciences, 2020. <a href=\"https://doi.org/10.1073/pnas.1913716117\">https://doi.org/10.1073/pnas.1913716117</a>.","apa":"Xu, D., Varshney, A., Ma, X., Song, B., Riedl, M., Avila, M., &#38; Hof, B. (2020). Nonlinear hydrodynamic instability and turbulence in pulsatile flow. <i>Proceedings of the National Academy of Sciences of the United States of America</i>. National Academy of Sciences. <a href=\"https://doi.org/10.1073/pnas.1913716117\">https://doi.org/10.1073/pnas.1913716117</a>","ieee":"D. Xu <i>et al.</i>, “Nonlinear hydrodynamic instability and turbulence in pulsatile flow,” <i>Proceedings of the National Academy of Sciences of the United States of America</i>, vol. 117, no. 21. National Academy of Sciences, pp. 11233–11239, 2020.","ista":"Xu D, Varshney A, Ma X, Song B, Riedl M, Avila M, Hof B. 2020. Nonlinear hydrodynamic instability and turbulence in pulsatile flow. Proceedings of the National Academy of Sciences of the United States of America. 117(21), 11233–11239.","ama":"Xu D, Varshney A, Ma X, et al. Nonlinear hydrodynamic instability and turbulence in pulsatile flow. <i>Proceedings of the National Academy of Sciences of the United States of America</i>. 2020;117(21):11233-11239. doi:<a href=\"https://doi.org/10.1073/pnas.1913716117\">10.1073/pnas.1913716117</a>","short":"D. Xu, A. Varshney, X. Ma, B. Song, M. Riedl, M. Avila, B. Hof, Proceedings of the National Academy of Sciences of the United States of America 117 (2020) 11233–11239."},"publication":"Proceedings of the National Academy of Sciences of the United States of America","date_created":"2020-06-07T22:00:51Z","quality_controlled":"1","date_updated":"2026-04-07T13:29:13Z","language":[{"iso":"eng"}],"intvolume":"       117","month":"05","publication_identifier":{"issn":["0027-8424"],"eissn":["1091-6490"]},"department":[{"_id":"BjHo"}],"_id":"7932","isi":1,"page":"11233-11239","article_processing_charge":"No","day":"26","publisher":"National Academy of Sciences","author":[{"last_name":"Xu","first_name":"Duo","full_name":"Xu, Duo","id":"3454D55E-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Atul","full_name":"Varshney, Atul","orcid":"0000-0002-3072-5999","id":"2A2006B2-F248-11E8-B48F-1D18A9856A87","last_name":"Varshney"},{"id":"34BADBA6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0179-9737","full_name":"Ma, Xingyu","first_name":"Xingyu","last_name":"Ma"},{"full_name":"Song, Baofang","first_name":"Baofang","last_name":"Song"},{"last_name":"Riedl","first_name":"Michael","full_name":"Riedl, Michael","orcid":"0000-0003-4844-6311","id":"3BE60946-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Marc","full_name":"Avila, Marc","last_name":"Avila"},{"last_name":"Hof","orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87","first_name":"Björn","full_name":"Hof, Björn"}],"arxiv":1,"pmid":1,"date_published":"2020-05-26T00:00:00Z","status":"public","publication_status":"published","abstract":[{"lang":"eng","text":"Pulsating flows through tubular geometries are laminar provided that velocities are moderate. This in particular is also believed to apply to cardiovascular flows where inertial forces are typically too low to sustain turbulence. On the other hand, flow instabilities and fluctuating shear stresses are held responsible for a variety of cardiovascular diseases. Here we report a nonlinear instability mechanism for pulsating pipe flow that gives rise to bursts of turbulence at low flow rates. Geometrical distortions of small, yet finite, amplitude are found to excite a state consisting of helical vortices during flow deceleration. The resulting flow pattern grows rapidly in magnitude, breaks down into turbulence, and eventually returns to laminar when the flow accelerates. This scenario causes shear stress fluctuations and flow reversal during each pulsation cycle. Such unsteady conditions can adversely affect blood vessels and have been shown to promote inflammation and dysfunction of the shear stress-sensitive endothelial cell layer."}],"scopus_import":"1","year":"2020","ec_funded":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2005.11190"}],"issue":"21","project":[{"grant_number":"I04188","_id":"238B8092-32DE-11EA-91FC-C7463DDC885E","call_identifier":"FWF","name":"Instabilities in pulsating pipe flow in complex fluids"},{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"}],"external_id":{"arxiv":["2005.11190"],"isi":["000536797100014"],"pmid":["32393637"]},"title":"Nonlinear hydrodynamic instability and turbulence in pulsatile flow","doi":"10.1073/pnas.1913716117","oa_version":"Preprint"},{"article_type":"original","volume":21,"oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","related_material":{"record":[{"status":"public","id":"11473","relation":"dissertation_contains"}]},"type":"journal_article","citation":{"ista":"Mysliwy K, Seiringer R. 2020. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 21(12), 4003–4025.","short":"K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.","ama":"Mysliwy K, Seiringer R. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. <i>Annales Henri Poincare</i>. 2020;21(12):4003-4025. doi:<a href=\"https://doi.org/10.1007/s00023-020-00969-3\">10.1007/s00023-020-00969-3</a>","ieee":"K. Mysliwy and R. Seiringer, “Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit,” <i>Annales Henri Poincare</i>, vol. 21, no. 12. Springer Nature, pp. 4003–4025, 2020.","chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” <i>Annales Henri Poincare</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s00023-020-00969-3\">https://doi.org/10.1007/s00023-020-00969-3</a>.","apa":"Mysliwy, K., &#38; Seiringer, R. (2020). Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-020-00969-3\">https://doi.org/10.1007/s00023-020-00969-3</a>","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” <i>Annales Henri Poincare</i>, vol. 21, no. 12, Springer Nature, 2020, pp. 4003–25, doi:<a href=\"https://doi.org/10.1007/s00023-020-00969-3\">10.1007/s00023-020-00969-3</a>."},"publication":"Annales Henri Poincare","file_date_updated":"2020-10-27T12:49:04Z","quality_controlled":"1","date_updated":"2026-04-07T14:14:51Z","date_created":"2020-10-25T23:01:19Z","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"language":[{"iso":"eng"}],"month":"12","ddc":["530"],"intvolume":"        21","publication_identifier":{"issn":["1424-0637"]},"has_accepted_license":"1","page":"4003-4025","license":"https://creativecommons.org/licenses/by/4.0/","department":[{"_id":"RoSe"}],"_id":"8705","isi":1,"day":"01","article_processing_charge":"Yes (via OA deal)","file":[{"access_level":"open_access","success":1,"checksum":"c12c9c1e6f08def245e42f3cb1d83827","file_id":"8711","file_size":469831,"date_created":"2020-10-27T12:49:04Z","content_type":"application/pdf","date_updated":"2020-10-27T12:49:04Z","file_name":"2020_Annales_Mysliwy.pdf","relation":"main_file","creator":"cziletti"}],"date_published":"2020-12-01T00:00:00Z","arxiv":1,"publisher":"Springer Nature","author":[{"first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","last_name":"Mysliwy"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"corr_author":"1","status":"public","year":"2020","scopus_import":"1","publication_status":"published","abstract":[{"lang":"eng","text":"We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the mean-field limit and rigorously show that, at low energies, the problem is well described by the Fröhlich polaron model."}],"issue":"12","ec_funded":1,"external_id":{"arxiv":["2003.12371"],"isi":["000578111800002"]},"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program","call_identifier":"H2020","grant_number":"665385"}],"title":"Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit","doi":"10.1007/s00023-020-00969-3","oa_version":"Published Version","acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant agreement No. 665386 (K.M.) is gratefully acknowledged. Funding Open access funding provided by Institute of Science and Technology (IST Austria)"},{"month":"04","intvolume":"       293","ddc":["580"],"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"article_number":"110414","language":[{"iso":"eng"}],"has_accepted_license":"1","_id":"7465","department":[{"_id":"JiFr"}],"isi":1,"publication_identifier":{"issn":["0168-9452"],"eissn":["1873-2259"]},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"11626"}]},"article_type":"original","oa":1,"volume":293,"date_updated":"2026-04-07T14:18:57Z","quality_controlled":"1","file_date_updated":"2020-07-14T12:47:59Z","date_created":"2020-02-09T23:00:50Z","type":"journal_article","publication":"Plant Science","citation":{"mla":"Mazur, Ewa, et al. “Clathrin-Mediated Trafficking and PIN Trafficking Are Required for Auxin Canalization and Vascular Tissue Formation in Arabidopsis.” <i>Plant Science</i>, vol. 293, no. 4, 110414, Elsevier, 2020, doi:<a href=\"https://doi.org/10.1016/j.plantsci.2020.110414\">10.1016/j.plantsci.2020.110414</a>.","apa":"Mazur, E., Gallei, M. C., Adamowski, M., Han, H., Robert, H. S., &#38; Friml, J. (2020). Clathrin-mediated trafficking and PIN trafficking are required for auxin canalization and vascular tissue formation in Arabidopsis. <i>Plant Science</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.plantsci.2020.110414\">https://doi.org/10.1016/j.plantsci.2020.110414</a>","chicago":"Mazur, Ewa, Michelle C Gallei, Maciek Adamowski, Huibin Han, Hélène S. Robert, and Jiří Friml. “Clathrin-Mediated Trafficking and PIN Trafficking Are Required for Auxin Canalization and Vascular Tissue Formation in Arabidopsis.” <i>Plant Science</i>. Elsevier, 2020. <a href=\"https://doi.org/10.1016/j.plantsci.2020.110414\">https://doi.org/10.1016/j.plantsci.2020.110414</a>.","ieee":"E. Mazur, M. C. Gallei, M. Adamowski, H. Han, H. S. Robert, and J. Friml, “Clathrin-mediated trafficking and PIN trafficking are required for auxin canalization and vascular tissue formation in Arabidopsis,” <i>Plant Science</i>, vol. 293, no. 4. Elsevier, 2020.","short":"E. Mazur, M.C. Gallei, M. Adamowski, H. Han, H.S. Robert, J. Friml, Plant Science 293 (2020).","ama":"Mazur E, Gallei MC, Adamowski M, Han H, Robert HS, Friml J. Clathrin-mediated trafficking and PIN trafficking are required for auxin canalization and vascular tissue formation in Arabidopsis. <i>Plant Science</i>. 2020;293(4). doi:<a href=\"https://doi.org/10.1016/j.plantsci.2020.110414\">10.1016/j.plantsci.2020.110414</a>","ista":"Mazur E, Gallei MC, Adamowski M, Han H, Robert HS, Friml J. 2020. Clathrin-mediated trafficking and PIN trafficking are required for auxin canalization and vascular tissue formation in Arabidopsis. Plant Science. 293(4), 110414."},"external_id":{"isi":["000520609800009"],"pmid":["32081263"]},"project":[{"_id":"261099A6-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Tracing Evolution of Auxin Transport and Polarity in Plants","grant_number":"742985"}],"issue":"4","ec_funded":1,"oa_version":"Published Version","doi":"10.1016/j.plantsci.2020.110414","title":"Clathrin-mediated trafficking and PIN trafficking are required for auxin canalization and vascular tissue formation in Arabidopsis","pmid":1,"date_published":"2020-04-01T00:00:00Z","author":[{"last_name":"Mazur","full_name":"Mazur, Ewa","first_name":"Ewa"},{"first_name":"Michelle C","full_name":"Gallei, Michelle C","orcid":"0000-0003-1286-7368","id":"35A03822-F248-11E8-B48F-1D18A9856A87","last_name":"Gallei"},{"full_name":"Adamowski, Maciek","first_name":"Maciek","id":"45F536D2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-6463-5257","last_name":"Adamowski"},{"id":"31435098-F248-11E8-B48F-1D18A9856A87","first_name":"Huibin","full_name":"Han, Huibin","last_name":"Han"},{"full_name":"Robert, Hélène S.","first_name":"Hélène S.","last_name":"Robert"},{"orcid":"0000-0002-8302-7596","id":"4159519E-F248-11E8-B48F-1D18A9856A87","first_name":"Jiří","full_name":"Friml, Jiří","last_name":"Friml"}],"publisher":"Elsevier","article_processing_charge":"No","day":"01","file":[{"file_name":"2020_PlantScience_Mazur.pdf","relation":"main_file","creator":"dernst","checksum":"f7f27c6a8fea985ceb9279be2204461c","access_level":"open_access","file_size":3499069,"file_id":"7471","date_created":"2020-02-10T08:59:36Z","date_updated":"2020-07-14T12:47:59Z","content_type":"application/pdf"}],"scopus_import":"1","year":"2020","abstract":[{"lang":"eng","text":"The flexible development of plants is characterized by a high capacity for post-embryonic organ formation and tissue regeneration, processes, which require tightly regulated intercellular communication and coordinated tissue (re-)polarization. The phytohormone auxin, the main driver for these processes, is able to establish polarized auxin transport channels, which are characterized by the expression and polar, subcellular localization of the PIN1 auxin transport proteins. These channels are demarcating the position of future vascular strands necessary for organ formation and tissue regeneration. Major progress has been made in the last years to understand how PINs can change their polarity in different contexts and thus guide auxin flow through the plant. However, it still remains elusive how auxin mediates the establishment of auxin conducting channels and the formation of vascular tissue and which cellular processes are involved. By the means of sophisticated regeneration experiments combined with local auxin applications in Arabidopsis thaliana inflorescence stems we show that (i) PIN subcellular dynamics, (ii) PIN internalization by clathrin-mediated trafficking and (iii) an intact actin cytoskeleton required for post-endocytic trafficking are indispensable for auxin channel formation, de novo vascular formation and vascular regeneration after wounding. These observations provide novel insights into cellular mechanism of coordinated tissue polarization during auxin canalization."}],"publication_status":"published","status":"public","corr_author":"1"},{"oa_version":"Published Version","acknowledgement":"We are grateful to David Nelson for providing published materials and extremely helpful comments, and Elizabeth Dun and Christine Beveridge for helpful discussions. The research leading to these results has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (742985). This work was also supported by the Beijing Municipal Natural Science Foundation (5192011), Beijing Outstanding University Discipline Program, the National Natural Science Foundation of China (31370309), CEITEC 2020 (LQ1601) project with financial contribution made by the Ministry of Education, Youth and Sports of the Czech Republic within special support paid from the National Program of Sustainability II funds, Australian Research Council (FT180100081), and China Postdoctoral Science Foundation (2019M660864).","title":"Strigolactones inhibit auxin feedback on PIN-dependent auxin transport canalization","doi":"10.1038/s41467-020-17252-y","project":[{"grant_number":"742985","_id":"261099A6-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Tracing Evolution of Auxin Transport and Polarity in Plants"}],"external_id":{"isi":["000550062200004"],"pmid":["32665554"]},"ec_funded":1,"issue":"1","abstract":[{"lang":"eng","text":"Directional transport of the phytohormone auxin is a versatile, plant-specific mechanism regulating many aspects of plant development. The recently identified plant hormones, strigolactones (SLs), are implicated in many plant traits; among others, they modify the phenotypic output of PIN-FORMED (PIN) auxin transporters for fine-tuning of growth and developmental responses. Here, we show in pea and Arabidopsis that SLs target processes dependent on the canalization of auxin flow, which involves auxin feedback on PIN subcellular distribution. D14 receptor- and MAX2 F-box-mediated SL signaling inhibits the formation of auxin-conducting channels after wounding or from artificial auxin sources, during vasculature de novo formation and regeneration. At the cellular level, SLs interfere with auxin effects on PIN polar targeting, constitutive PIN trafficking as well as clathrin-mediated endocytosis. Our results identify a non-transcriptional mechanism of SL action, uncoupling auxin feedback on PIN polarity and trafficking, thereby regulating vascular tissue formation and regeneration."}],"publication_status":"published","year":"2020","scopus_import":"1","corr_author":"1","status":"public","author":[{"full_name":"Zhang, J","first_name":"J","last_name":"Zhang"},{"last_name":"Mazur","full_name":"Mazur, E","first_name":"E"},{"last_name":"Balla","full_name":"Balla, J","first_name":"J"},{"last_name":"Gallei","id":"35A03822-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-1286-7368","full_name":"Gallei, Michelle C","first_name":"Michelle C"},{"first_name":"P","full_name":"Kalousek, P","last_name":"Kalousek"},{"last_name":"Medveďová","first_name":"Z","full_name":"Medveďová, Z"},{"first_name":"Y","full_name":"Li, Y","last_name":"Li"},{"first_name":"Y","full_name":"Wang, Y","last_name":"Wang"},{"first_name":"Tomas","full_name":"Prat, Tomas","id":"3DA3BFEE-F248-11E8-B48F-1D18A9856A87","last_name":"Prat"},{"last_name":"Vasileva","first_name":"Mina K","full_name":"Vasileva, Mina K","id":"3407EB18-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Reinöhl","first_name":"V","full_name":"Reinöhl, V"},{"last_name":"Procházka","full_name":"Procházka, S","first_name":"S"},{"first_name":"R","full_name":"Halouzka, R","last_name":"Halouzka"},{"last_name":"Tarkowski","full_name":"Tarkowski, P","first_name":"P"},{"last_name":"Luschnig","full_name":"Luschnig, C","first_name":"C"},{"full_name":"Brewer, PB","first_name":"PB","last_name":"Brewer"},{"last_name":"Friml","full_name":"Friml, Jiří","first_name":"Jiří","id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596"}],"publisher":"Springer Nature","date_published":"2020-07-14T00:00:00Z","pmid":1,"file":[{"access_level":"open_access","success":1,"file_id":"8148","file_size":1759490,"date_created":"2020-07-22T08:32:55Z","date_updated":"2020-07-22T08:32:55Z","content_type":"application/pdf","file_name":"2020_NatureComm_Zhang.pdf","relation":"main_file","creator":"dernst"}],"day":"14","article_processing_charge":"No","isi":1,"_id":"8138","department":[{"_id":"JiFr"}],"has_accepted_license":"1","page":"3508","publication_identifier":{"issn":["2041-1723"]},"ddc":["580"],"intvolume":"        11","month":"07","language":[{"iso":"eng"}],"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"date_created":"2020-07-21T08:58:07Z","file_date_updated":"2020-07-22T08:32:55Z","quality_controlled":"1","date_updated":"2026-04-07T14:18:57Z","type":"journal_article","publication":"Nature Communications","citation":{"chicago":"Zhang, J, E Mazur, J Balla, Michelle C Gallei, P Kalousek, Z Medveďová, Y Li, et al. “Strigolactones Inhibit Auxin Feedback on PIN-Dependent Auxin Transport Canalization.” <i>Nature Communications</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1038/s41467-020-17252-y\">https://doi.org/10.1038/s41467-020-17252-y</a>.","apa":"Zhang, J., Mazur, E., Balla, J., Gallei, M. C., Kalousek, P., Medveďová, Z., … Friml, J. (2020). Strigolactones inhibit auxin feedback on PIN-dependent auxin transport canalization. <i>Nature Communications</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41467-020-17252-y\">https://doi.org/10.1038/s41467-020-17252-y</a>","mla":"Zhang, J., et al. “Strigolactones Inhibit Auxin Feedback on PIN-Dependent Auxin Transport Canalization.” <i>Nature Communications</i>, vol. 11, no. 1, Springer Nature, 2020, p. 3508, doi:<a href=\"https://doi.org/10.1038/s41467-020-17252-y\">10.1038/s41467-020-17252-y</a>.","ista":"Zhang J, Mazur E, Balla J, Gallei MC, Kalousek P, Medveďová Z, Li Y, Wang Y, Prat T, Vasileva MK, Reinöhl V, Procházka S, Halouzka R, Tarkowski P, Luschnig C, Brewer P, Friml J. 2020. Strigolactones inhibit auxin feedback on PIN-dependent auxin transport canalization. Nature Communications. 11(1), 3508.","ama":"Zhang J, Mazur E, Balla J, et al. Strigolactones inhibit auxin feedback on PIN-dependent auxin transport canalization. <i>Nature Communications</i>. 2020;11(1):3508. doi:<a href=\"https://doi.org/10.1038/s41467-020-17252-y\">10.1038/s41467-020-17252-y</a>","short":"J. Zhang, E. Mazur, J. Balla, M.C. Gallei, P. Kalousek, Z. Medveďová, Y. Li, Y. Wang, T. Prat, M.K. Vasileva, V. Reinöhl, S. Procházka, R. Halouzka, P. Tarkowski, C. Luschnig, P. Brewer, J. Friml, Nature Communications 11 (2020) 3508.","ieee":"J. Zhang <i>et al.</i>, “Strigolactones inhibit auxin feedback on PIN-dependent auxin transport canalization,” <i>Nature Communications</i>, vol. 11, no. 1. Springer Nature, p. 3508, 2020."},"related_material":{"record":[{"id":"11626","relation":"dissertation_contains","status":"public"}]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","volume":11,"oa":1,"article_type":"original"},{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","related_material":{"record":[{"id":"11626","relation":"dissertation_contains","status":"public"}]},"article_type":"original","volume":53,"quality_controlled":"1","date_updated":"2026-04-07T14:18:57Z","date_created":"2019-12-02T12:05:26Z","type":"journal_article","citation":{"apa":"Gallei, M. C., Luschnig, C., &#38; Friml, J. (2020). Auxin signalling in growth: Schrödinger’s cat out of the bag. <i>Current Opinion in Plant Biology</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.pbi.2019.10.003\">https://doi.org/10.1016/j.pbi.2019.10.003</a>","chicago":"Gallei, Michelle C, Christian Luschnig, and Jiří Friml. “Auxin Signalling in Growth: Schrödinger’s Cat out of the Bag.” <i>Current Opinion in Plant Biology</i>. Elsevier, 2020. <a href=\"https://doi.org/10.1016/j.pbi.2019.10.003\">https://doi.org/10.1016/j.pbi.2019.10.003</a>.","mla":"Gallei, Michelle C., et al. “Auxin Signalling in Growth: Schrödinger’s Cat out of the Bag.” <i>Current Opinion in Plant Biology</i>, vol. 53, no. 2, Elsevier, 2020, pp. 43–49, doi:<a href=\"https://doi.org/10.1016/j.pbi.2019.10.003\">10.1016/j.pbi.2019.10.003</a>.","ama":"Gallei MC, Luschnig C, Friml J. Auxin signalling in growth: Schrödinger’s cat out of the bag. <i>Current Opinion in Plant Biology</i>. 2020;53(2):43-49. doi:<a href=\"https://doi.org/10.1016/j.pbi.2019.10.003\">10.1016/j.pbi.2019.10.003</a>","short":"M.C. Gallei, C. Luschnig, J. Friml, Current Opinion in Plant Biology 53 (2020) 43–49.","ista":"Gallei MC, Luschnig C, Friml J. 2020. Auxin signalling in growth: Schrödinger’s cat out of the bag. Current Opinion in Plant Biology. 53(2), 43–49.","ieee":"M. C. Gallei, C. Luschnig, and J. Friml, “Auxin signalling in growth: Schrödinger’s cat out of the bag,” <i>Current Opinion in Plant Biology</i>, vol. 53, no. 2. Elsevier, pp. 43–49, 2020."},"publication":"Current Opinion in Plant Biology","month":"02","intvolume":"        53","language":[{"iso":"eng"}],"page":"43-49","isi":1,"_id":"7142","department":[{"_id":"JiFr"}],"publication_identifier":{"issn":["1369-5266"],"eissn":["1879-0356"]},"date_published":"2020-02-01T00:00:00Z","pmid":1,"author":[{"orcid":"0000-0003-1286-7368","id":"35A03822-F248-11E8-B48F-1D18A9856A87","first_name":"Michelle C","full_name":"Gallei, Michelle C","last_name":"Gallei"},{"first_name":"Christian","full_name":"Luschnig, Christian","last_name":"Luschnig"},{"first_name":"Jiří","full_name":"Friml, Jiří","orcid":"0000-0002-8302-7596","id":"4159519E-F248-11E8-B48F-1D18A9856A87","last_name":"Friml"}],"publisher":"Elsevier","day":"01","article_processing_charge":"No","year":"2020","scopus_import":"1","publication_status":"published","abstract":[{"text":"The phytohormone auxin acts as an amazingly versatile coordinator of plant growth and development. With its morphogen-like properties, auxin controls sites and timing of differentiation and/or growth responses both, in quantitative and qualitative terms. Specificity in the auxin response depends largely on distinct modes of signal transmission, by which individual cells perceive and convert auxin signals into a remarkable diversity of responses. The best understood, or so-called canonical mechanism of auxin perception ultimately results in variable adjustments of the cellular transcriptome, via a short, nuclear signal transduction pathway. Additional findings that accumulated over decades implied that an additional, presumably, cell surface-based auxin perception mechanism mediates very rapid cellular responses and decisively contributes to the cell's overall hormonal response. Recent investigations into both, nuclear and cell surface auxin signalling challenged this assumed partition of roles for different auxin signalling pathways and revealed an unexpected complexity in transcriptional and non-transcriptional cellular responses mediated by auxin.","lang":"eng"}],"corr_author":"1","status":"public","external_id":{"isi":["000521120600007"],"pmid":["31760231"]},"project":[{"_id":"261099A6-B435-11E9-9278-68D0E5697425","name":"Tracing Evolution of Auxin Transport and Polarity in Plants","call_identifier":"H2020","grant_number":"742985"}],"issue":"2","ec_funded":1,"oa_version":"None","acknowledgement":"Research in J.F. laboratory is funded by the European Union's Horizon 2020 program (ERC grant agreement n° 742985); C.L. is supported by the Austrian Science Fund (FWF grant P 31493).","doi":"10.1016/j.pbi.2019.10.003","title":"Auxin signalling in growth: Schrödinger's cat out of the bag"},{"acknowledged_ssus":[{"_id":"ScienComp"}],"article_processing_charge":"No","day":"12","file":[{"file_name":"2020_PMLR_Konstantinov.pdf","creator":"dernst","relation":"main_file","file_id":"9120","file_size":281286,"access_level":"open_access","checksum":"cc755d0054bc4b2be778ea7aa7884d2f","success":1,"date_updated":"2021-02-15T09:00:01Z","content_type":"application/pdf","date_created":"2021-02-15T09:00:01Z"}],"date_published":"2020-07-12T00:00:00Z","publisher":"ML Research Press","author":[{"last_name":"Konstantinov","id":"4B9D76E4-F248-11E8-B48F-1D18A9856A87","orcid":"0009-0009-5204-7621","full_name":"Konstantinov, Nikola H","first_name":"Nikola H"},{"last_name":"Frantar","first_name":"Elias","full_name":"Frantar, Elias","id":"09a8f98d-ec99-11ea-ae11-c063a7b7fe5f"},{"last_name":"Alistarh","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3650-940X","full_name":"Alistarh, Dan-Adrian","first_name":"Dan-Adrian"},{"orcid":"0000-0001-8622-7887","id":"40C20FD2-F248-11E8-B48F-1D18A9856A87","first_name":"Christoph","full_name":"Lampert, Christoph","last_name":"Lampert"}],"arxiv":1,"status":"public","corr_author":"1","scopus_import":"1","year":"2020","publication_status":"published","abstract":[{"text":"We study the problem of learning from multiple untrusted data sources, a scenario of increasing practical relevance given the recent emergence of crowdsourcing and collaborative learning paradigms. Specifically, we analyze the situation in which a learning system obtains datasets from multiple sources, some of which might be biased or even adversarially perturbed. It is\r\nknown that in the single-source case, an adversary with the power to corrupt a fixed fraction of the training data can prevent PAC-learnability, that is, even in the limit of infinitely much training data, no learning system can approach the optimal test error. In this work we show that, surprisingly, the same is not true in the multi-source setting, where the adversary can arbitrarily\r\ncorrupt a fixed fraction of the data sources. Our main results are a generalization bound that provides finite-sample guarantees for this learning setting, as well as corresponding lower bounds. Besides establishing PAC-learnability our results also show that in a cooperative learning setting sharing data with other parties has provable benefits, even if some\r\nparticipants are malicious. ","lang":"eng"}],"ec_funded":1,"external_id":{"arxiv":["2002.10384"]},"project":[{"name":"Elastic Coordination for Scalable Machine Learning","call_identifier":"H2020","_id":"268A44D6-B435-11E9-9278-68D0E5697425","grant_number":"805223"}],"title":"On the sample complexity of adversarial multi-source PAC learning","acknowledgement":"Dan Alistarh is supported in part by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 805223 ScaleML). This research was supported by the Scientific Service Units (SSU) of IST Austria through resources provided by Scientific Computing (SciComp).","oa_version":"Published Version","oa":1,"volume":119,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"link":[{"url":"http://proceedings.mlr.press/v119/konstantinov20a/konstantinov20a-supp.pdf","relation":"supplementary_material"}],"record":[{"status":"public","relation":"dissertation_contains","id":"10799"}]},"citation":{"ista":"Konstantinov NH, Frantar E, Alistarh D-A, Lampert C. 2020. On the sample complexity of adversarial multi-source PAC learning. Proceedings of the 37th International Conference on Machine Learning. ICML: International Conference on Machine Learning vol. 119, 5416–5425.","ama":"Konstantinov NH, Frantar E, Alistarh D-A, Lampert C. On the sample complexity of adversarial multi-source PAC learning. In: <i>Proceedings of the 37th International Conference on Machine Learning</i>. Vol 119. ML Research Press; 2020:5416-5425.","short":"N.H. Konstantinov, E. Frantar, D.-A. Alistarh, C. Lampert, in:, Proceedings of the 37th International Conference on Machine Learning, ML Research Press, 2020, pp. 5416–5425.","ieee":"N. H. Konstantinov, E. Frantar, D.-A. Alistarh, and C. Lampert, “On the sample complexity of adversarial multi-source PAC learning,” in <i>Proceedings of the 37th International Conference on Machine Learning</i>, Online, 2020, vol. 119, pp. 5416–5425.","chicago":"Konstantinov, Nikola H, Elias Frantar, Dan-Adrian Alistarh, and Christoph Lampert. “On the Sample Complexity of Adversarial Multi-Source PAC Learning.” In <i>Proceedings of the 37th International Conference on Machine Learning</i>, 119:5416–25. ML Research Press, 2020.","apa":"Konstantinov, N. H., Frantar, E., Alistarh, D.-A., &#38; Lampert, C. (2020). On the sample complexity of adversarial multi-source PAC learning. In <i>Proceedings of the 37th International Conference on Machine Learning</i> (Vol. 119, pp. 5416–5425). Online: ML Research Press.","mla":"Konstantinov, Nikola H., et al. “On the Sample Complexity of Adversarial Multi-Source PAC Learning.” <i>Proceedings of the 37th International Conference on Machine Learning</i>, vol. 119, ML Research Press, 2020, pp. 5416–25."},"publication":"Proceedings of the 37th International Conference on Machine Learning","type":"conference","quality_controlled":"1","date_updated":"2026-04-07T14:19:48Z","file_date_updated":"2021-02-15T09:00:01Z","date_created":"2020-11-05T15:25:58Z","language":[{"iso":"eng"}],"month":"07","intvolume":"       119","ddc":["000"],"publication_identifier":{"issn":["2640-3498"]},"page":"5416-5425","has_accepted_license":"1","_id":"8724","department":[{"_id":"DaAl"},{"_id":"ChLa"}],"conference":{"location":"Online","end_date":"2020-07-18","name":"ICML: International Conference on Machine Learning","start_date":"2020-07-12"}},{"intvolume":"        22","ddc":["530"],"month":"09","language":[{"iso":"eng"}],"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"article_number":"093026","isi":1,"_id":"8644","department":[{"_id":"MiLe"}],"has_accepted_license":"1","publication_identifier":{"issn":["1367-2630"]},"related_material":{"record":[{"status":"public","id":"10759","relation":"dissertation_contains"}]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"volume":22,"article_type":"original","date_created":"2020-10-11T22:01:14Z","quality_controlled":"1","date_updated":"2026-04-07T14:20:12Z","file_date_updated":"2020-10-12T12:18:47Z","type":"journal_article","publication":"New Journal of Physics","citation":{"ista":"Rzadkowski W, Defenu N, Chiacchiera S, Trombettoni A, Bighin G. 2020. Detecting composite orders in layered models via machine learning. New Journal of Physics. 22(9), 093026.","ama":"Rzadkowski W, Defenu N, Chiacchiera S, Trombettoni A, Bighin G. Detecting composite orders in layered models via machine learning. <i>New Journal of Physics</i>. 2020;22(9). doi:<a href=\"https://doi.org/10.1088/1367-2630/abae44\">10.1088/1367-2630/abae44</a>","short":"W. Rzadkowski, N. Defenu, S. Chiacchiera, A. Trombettoni, G. Bighin, New Journal of Physics 22 (2020).","ieee":"W. Rzadkowski, N. Defenu, S. Chiacchiera, A. Trombettoni, and G. Bighin, “Detecting composite orders in layered models via machine learning,” <i>New Journal of Physics</i>, vol. 22, no. 9. IOP Publishing, 2020.","chicago":"Rzadkowski, Wojciech, N Defenu, S Chiacchiera, A Trombettoni, and Giacomo Bighin. “Detecting Composite Orders in Layered Models via Machine Learning.” <i>New Journal of Physics</i>. IOP Publishing, 2020. <a href=\"https://doi.org/10.1088/1367-2630/abae44\">https://doi.org/10.1088/1367-2630/abae44</a>.","apa":"Rzadkowski, W., Defenu, N., Chiacchiera, S., Trombettoni, A., &#38; Bighin, G. (2020). Detecting composite orders in layered models via machine learning. <i>New Journal of Physics</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1367-2630/abae44\">https://doi.org/10.1088/1367-2630/abae44</a>","mla":"Rzadkowski, Wojciech, et al. “Detecting Composite Orders in Layered Models via Machine Learning.” <i>New Journal of Physics</i>, vol. 22, no. 9, 093026, IOP Publishing, 2020, doi:<a href=\"https://doi.org/10.1088/1367-2630/abae44\">10.1088/1367-2630/abae44</a>."},"project":[{"grant_number":"665385","call_identifier":"H2020","name":"International IST Doctoral Program","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"},{"grant_number":"25681","_id":"05A235A0-7A3F-11EA-A408-12923DDC885E","name":"Analytic and machine learning approaches to composite quantum impurities"},{"_id":"26986C82-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"A path-integral approach to composite impurities","grant_number":"M02641"}],"external_id":{"isi":["000573298000001"]},"ec_funded":1,"issue":"9","acknowledgement":"We thank Gesualdo Delfino, Michele Fabrizio, Piero Ferrarese, Robert Konik, Christoph Lampert and Mikhail Lemeshko for stimulating discussions at various stages of this work. WR has received funding from the EU Horizon 2020 program under the Marie Skłodowska-Curie Grant Agreement No. 665385 and is a recipient of a DOC Fellowship of the Austrian Academy of Sciences. GB acknowledges support from the Austrian Science Fund (FWF), under project No. M2641-N27. ND acknowledges support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via Collaborative Research Center SFB 1225 (ISOQUANT)--project-id 273811115--and under Germany's Excellence Strategy 'EXC-2181/1-390900948' (the Heidelberg STRUCTURES Excellence Cluster).","oa_version":"Published Version","title":"Detecting composite orders in layered models via machine learning","doi":"10.1088/1367-2630/abae44","publisher":"IOP Publishing","author":[{"last_name":"Rzadkowski","id":"48C55298-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1106-4419","full_name":"Rzadkowski, Wojciech","first_name":"Wojciech"},{"last_name":"Defenu","first_name":"N","full_name":"Defenu, N"},{"last_name":"Chiacchiera","first_name":"S","full_name":"Chiacchiera, S"},{"first_name":"A","full_name":"Trombettoni, A","last_name":"Trombettoni"},{"last_name":"Bighin","first_name":"Giacomo","full_name":"Bighin, Giacomo","orcid":"0000-0001-8823-9777","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87"}],"date_published":"2020-09-01T00:00:00Z","file":[{"creator":"dernst","relation":"main_file","file_name":"2020_NewJournalPhysics_Rzdkowski.pdf","content_type":"application/pdf","date_updated":"2020-10-12T12:18:47Z","date_created":"2020-10-12T12:18:47Z","file_id":"8650","file_size":2725143,"access_level":"open_access","success":1,"checksum":"c9238fff422e7a957c3a0d559f756b3a"}],"article_processing_charge":"No","day":"01","publication_status":"published","abstract":[{"text":"Determining the phase diagram of systems consisting of smaller subsystems 'connected' via a tunable coupling is a challenging task relevant for a variety of physical settings. A general question is whether new phases, not present in the uncoupled limit, may arise. We use machine learning and a suitable quasidistance between different points of the phase diagram to study layered spin models, in which the spin variables constituting each of the uncoupled systems (to which we refer as layers) are coupled to each other via an interlayer coupling. In such systems, in general, composite order parameters involving spins of different layers may emerge as a consequence of the interlayer coupling. We focus on the layered Ising and Ashkin–Teller models as a paradigmatic case study, determining their phase diagram via the application of a machine learning algorithm to the Monte Carlo data. Remarkably our technique is able to correctly characterize all the system phases also in the case of hidden order parameters, i.e. order parameters whose expression in terms of the microscopic configurations would require additional preprocessing of the data fed to the algorithm. We correctly retrieve the three known phases of the Ashkin–Teller model with ferromagnetic couplings, including the phase described by a composite order parameter. For the bilayer and trilayer Ising models the phases we find are only the ferromagnetic and the paramagnetic ones. Within the approach we introduce, owing to the construction of convolutional neural networks, naturally suitable for layered image-like data with arbitrary number of layers, no preprocessing of the Monte Carlo data is needed, also with regard to its spatial structure. The physical meaning of our results is discussed and compared with analytical data, where available. Yet, the method can be used without any a priori knowledge of the phases one seeks to find and can be applied to other models and structures.","lang":"eng"}],"scopus_import":"1","year":"2020","status":"public","corr_author":"1"},{"scopus_import":"1","year":"2020","abstract":[{"text":"When short-range attractions are combined with long-range repulsions in colloidal particle systems, complex microphases can emerge. Here, we study a system of isotropic particles, which can form lamellar structures or a disordered fluid phase when temperature is varied. We show that, at equilibrium, the lamellar structure crystallizes, while out of equilibrium, the system forms a variety of structures at different shear rates and temperatures above melting. The shear-induced ordering is analyzed by means of principal component analysis and artificial neural networks, which are applied to data of reduced dimensionality. Our results reveal the possibility of inducing ordering by shear, potentially providing a feasible route to the fabrication of ordered lamellar structures from isotropic particles.","lang":"eng"}],"publication_status":"published","status":"public","date_published":"2020-05-29T00:00:00Z","pmid":1,"publisher":"AIP Publishing","author":[{"last_name":"Pȩkalski","full_name":"Pȩkalski, J.","first_name":"J."},{"full_name":"Rzadkowski, Wojciech","first_name":"Wojciech","id":"48C55298-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1106-4419","last_name":"Rzadkowski"},{"last_name":"Panagiotopoulos","first_name":"A. Z.","full_name":"Panagiotopoulos, A. Z."}],"arxiv":1,"article_processing_charge":"No","day":"29","oa_version":"Published Version","title":"Shear-induced ordering in systems with competing interactions: A machine learning study","doi":"10.1063/5.0005194","external_id":{"isi":["000537900300001"],"arxiv":["2002.07294"],"pmid":["32486692"]},"project":[{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"International IST Doctoral Program","grant_number":"665385"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1063/5.0005194"}],"issue":"20","ec_funded":1,"quality_controlled":"1","date_updated":"2026-04-07T14:20:12Z","date_created":"2020-06-14T22:00:49Z","type":"journal_article","publication":"The Journal of chemical physics","citation":{"mla":"Pȩkalski, J., et al. “Shear-Induced Ordering in Systems with Competing Interactions: A Machine Learning Study.” <i>The Journal of Chemical Physics</i>, vol. 152, no. 20, 204905, AIP Publishing, 2020, doi:<a href=\"https://doi.org/10.1063/5.0005194\">10.1063/5.0005194</a>.","chicago":"Pȩkalski, J., Wojciech Rzadkowski, and A. Z. Panagiotopoulos. “Shear-Induced Ordering in Systems with Competing Interactions: A Machine Learning Study.” <i>The Journal of Chemical Physics</i>. AIP Publishing, 2020. <a href=\"https://doi.org/10.1063/5.0005194\">https://doi.org/10.1063/5.0005194</a>.","apa":"Pȩkalski, J., Rzadkowski, W., &#38; Panagiotopoulos, A. Z. (2020). Shear-induced ordering in systems with competing interactions: A machine learning study. <i>The Journal of Chemical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0005194\">https://doi.org/10.1063/5.0005194</a>","ieee":"J. Pȩkalski, W. Rzadkowski, and A. Z. Panagiotopoulos, “Shear-induced ordering in systems with competing interactions: A machine learning study,” <i>The Journal of chemical physics</i>, vol. 152, no. 20. AIP Publishing, 2020.","ista":"Pȩkalski J, Rzadkowski W, Panagiotopoulos AZ. 2020. Shear-induced ordering in systems with competing interactions: A machine learning study. The Journal of chemical physics. 152(20), 204905.","ama":"Pȩkalski J, Rzadkowski W, Panagiotopoulos AZ. Shear-induced ordering in systems with competing interactions: A machine learning study. <i>The Journal of chemical physics</i>. 2020;152(20). doi:<a href=\"https://doi.org/10.1063/5.0005194\">10.1063/5.0005194</a>","short":"J. Pȩkalski, W. Rzadkowski, A.Z. Panagiotopoulos, The Journal of Chemical Physics 152 (2020)."},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","related_material":{"record":[{"relation":"dissertation_contains","id":"10759","status":"public"}]},"article_type":"original","oa":1,"volume":152,"department":[{"_id":"MiLe"}],"_id":"7956","isi":1,"publication_identifier":{"eissn":["1089-7690"]},"month":"05","intvolume":"       152","article_number":"204905","language":[{"iso":"eng"}]},{"status":"public","year":"2020","scopus_import":"1","publication_status":"published","abstract":[{"text":"This paper deals with dynamical optimal transport metrics defined by spatial discretisation of the Benamou–Benamou formula for the Kantorovich metric . Such metrics appear naturally in discretisations of -gradient flow formulations for dissipative PDE. However, it has recently been shown that these metrics do not in general converge to , unless strong geometric constraints are imposed on the discrete mesh. In this paper we prove that, in a 1-dimensional periodic setting, discrete transport metrics converge to a limiting transport metric with a non-trivial effective mobility. This mobility depends sensitively on the geometry of the mesh and on the non-local mobility at the discrete level. Our result quantifies to what extent discrete transport can make use of microstructure in the mesh to reduce the cost of transport.","lang":"eng"}],"day":"01","article_processing_charge":"No","date_published":"2020-07-01T00:00:00Z","arxiv":1,"publisher":"Elsevier","author":[{"last_name":"Gladbach","first_name":"Peter","full_name":"Gladbach, Peter"},{"last_name":"Kopfer","first_name":"Eva","full_name":"Kopfer, Eva"},{"last_name":"Maas","first_name":"Jan","full_name":"Maas, Jan","orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87"},{"id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","first_name":"Lorenzo","full_name":"Portinale, Lorenzo","last_name":"Portinale"}],"title":"Homogenisation of one-dimensional discrete optimal transport","doi":"10.1016/j.matpur.2020.02.008","oa_version":"Preprint","acknowledgement":"J.M. gratefully acknowledges support by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No 716117). J.M. and L.P. also acknowledge support from the Austrian Science Fund (FWF), grants No F65 and W1245. E.K. gratefully acknowledges support by the German Research Foundation through the Hausdorff Center for Mathematics and the Collaborative Research Center 1060. P.G. is partially funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – 350398276.","issue":"7","main_file_link":[{"url":"https://arxiv.org/abs/1905.05757","open_access":"1"}],"ec_funded":1,"external_id":{"arxiv":["1905.05757"],"isi":["000539439400008"]},"project":[{"grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425"},{"_id":"260482E2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Taming Complexity in Partial Differential Systems","grant_number":"F06504"},{"_id":"260788DE-B435-11E9-9278-68D0E5697425","name":"Dissipation and dispersion in nonlinear partial differential equations","call_identifier":"FWF","grant_number":"W1245"}],"publication":"Journal de Mathematiques Pures et Appliquees","citation":{"ieee":"P. Gladbach, E. Kopfer, J. Maas, and L. Portinale, “Homogenisation of one-dimensional discrete optimal transport,” <i>Journal de Mathematiques Pures et Appliquees</i>, vol. 139, no. 7. Elsevier, pp. 204–234, 2020.","ista":"Gladbach P, Kopfer E, Maas J, Portinale L. 2020. Homogenisation of one-dimensional discrete optimal transport. Journal de Mathematiques Pures et Appliquees. 139(7), 204–234.","short":"P. Gladbach, E. Kopfer, J. Maas, L. Portinale, Journal de Mathematiques Pures et Appliquees 139 (2020) 204–234.","ama":"Gladbach P, Kopfer E, Maas J, Portinale L. Homogenisation of one-dimensional discrete optimal transport. <i>Journal de Mathematiques Pures et Appliquees</i>. 2020;139(7):204-234. doi:<a href=\"https://doi.org/10.1016/j.matpur.2020.02.008\">10.1016/j.matpur.2020.02.008</a>","mla":"Gladbach, Peter, et al. “Homogenisation of One-Dimensional Discrete Optimal Transport.” <i>Journal de Mathematiques Pures et Appliquees</i>, vol. 139, no. 7, Elsevier, 2020, pp. 204–34, doi:<a href=\"https://doi.org/10.1016/j.matpur.2020.02.008\">10.1016/j.matpur.2020.02.008</a>.","chicago":"Gladbach, Peter, Eva Kopfer, Jan Maas, and Lorenzo Portinale. “Homogenisation of One-Dimensional Discrete Optimal Transport.” <i>Journal de Mathematiques Pures et Appliquees</i>. Elsevier, 2020. <a href=\"https://doi.org/10.1016/j.matpur.2020.02.008\">https://doi.org/10.1016/j.matpur.2020.02.008</a>.","apa":"Gladbach, P., Kopfer, E., Maas, J., &#38; Portinale, L. (2020). Homogenisation of one-dimensional discrete optimal transport. <i>Journal de Mathematiques Pures et Appliquees</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.matpur.2020.02.008\">https://doi.org/10.1016/j.matpur.2020.02.008</a>"},"type":"journal_article","quality_controlled":"1","date_updated":"2026-04-08T07:00:03Z","date_created":"2020-03-08T23:00:47Z","article_type":"original","volume":139,"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"status":"public","id":"10030","relation":"dissertation_contains"}]},"publication_identifier":{"issn":["0021-7824"]},"page":"204-234","_id":"7573","department":[{"_id":"JaMa"}],"isi":1,"language":[{"iso":"eng"}],"month":"07","intvolume":"       139"},{"date_updated":"2026-04-08T06:59:49Z","quality_controlled":"1","date_created":"2021-08-06T07:34:16Z","citation":{"ieee":"D. Feliciangeli and R. Seiringer, “Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 1. Society for Industrial and Applied Mathematics , pp. 605–622, 2020.","ista":"Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1), 605–622.","short":"D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622.","ama":"Feliciangeli D, Seiringer R. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. <i>SIAM Journal on Mathematical Analysis</i>. 2020;52(1):605-622. doi:<a href=\"https://doi.org/10.1137/19m126284x\">10.1137/19m126284x</a>","mla":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 1, Society for Industrial and Applied Mathematics , 2020, pp. 605–22, doi:<a href=\"https://doi.org/10.1137/19m126284x\">10.1137/19m126284x</a>.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics , 2020. <a href=\"https://doi.org/10.1137/19m126284x\">https://doi.org/10.1137/19m126284x</a>.","apa":"Feliciangeli, D., &#38; Seiringer, R. (2020). Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics . <a href=\"https://doi.org/10.1137/19m126284x\">https://doi.org/10.1137/19m126284x</a>"},"publication":"SIAM Journal on Mathematical Analysis","type":"journal_article","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"related_material":{"record":[{"status":"public","id":"9733","relation":"dissertation_contains"}]},"article_type":"original","oa":1,"volume":52,"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","has_accepted_license":"1","page":"605-622","isi":1,"_id":"9781","department":[{"_id":"RoSe"}],"publication_identifier":{"eissn":["1095-7154"],"issn":["0036-1410"]},"month":"02","intvolume":"        52","ddc":["510"],"tmp":{"image":"/images/cc_by_nc_nd.png","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","short":"CC BY-NC-ND (4.0)"},"language":[{"iso":"eng"}],"scopus_import":"1","year":"2020","publication_status":"published","abstract":[{"lang":"eng","text":"We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from nondegeneracy of the Hessian at the minimum."}],"status":"public","corr_author":"1","date_published":"2020-02-12T00:00:00Z","author":[{"first_name":"Dario","full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli"},{"last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publisher":"Society for Industrial and Applied Mathematics ","arxiv":1,"article_processing_charge":"No","day":"12","acknowledgement":"We are grateful for the hospitality at the Mittag-Leffler Institute, where part of this work has been done. The work of the authors was supported by the European Research Council (ERC)under the European Union's Horizon 2020 research and innovation programme grant 694227.","oa_version":"Preprint","title":"Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball","doi":"10.1137/19m126284x","external_id":{"isi":["000546967700022"],"arxiv":["1904.08647 "]},"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.08647"}],"issue":"1","ec_funded":1},{"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"status":"public","id":"11739","relation":"later_version"},{"status":"public","id":"10030","relation":"dissertation_contains"}]},"citation":{"chicago":"Forkert, Dominik L, Jan Maas, and Lorenzo Portinale. “Evolutionary Γ-Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2008.10962\">https://doi.org/10.48550/arXiv.2008.10962</a>.","apa":"Forkert, D. L., Maas, J., &#38; Portinale, L. (n.d.). Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2008.10962\">https://doi.org/10.48550/arXiv.2008.10962</a>","mla":"Forkert, Dominik L., et al. “Evolutionary Γ-Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” <i>ArXiv</i>, 2008.10962, doi:<a href=\"https://doi.org/10.48550/arXiv.2008.10962\">10.48550/arXiv.2008.10962</a>.","ista":"Forkert DL, Maas J, Portinale L. Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions. arXiv, 2008.10962.","ama":"Forkert DL, Maas J, Portinale L. Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2008.10962\">10.48550/arXiv.2008.10962</a>","short":"D.L. Forkert, J. Maas, L. Portinale, ArXiv (n.d.).","ieee":"D. L. Forkert, J. Maas, and L. Portinale, “Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions,” <i>arXiv</i>. ."},"type":"preprint","publication":"arXiv","date_updated":"2026-04-08T07:00:03Z","date_created":"2021-09-17T10:57:27Z","article_number":"2008.10962","language":[{"iso":"eng"}],"month":"08","_id":"10022","department":[{"_id":"JaMa"}],"article_processing_charge":"No","day":"25","date_published":"2020-08-25T00:00:00Z","author":[{"last_name":"Forkert","id":"35C79D68-F248-11E8-B48F-1D18A9856A87","full_name":"Forkert, Dominik L","first_name":"Dominik L"},{"last_name":"Maas","full_name":"Maas, Jan","first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0845-1338"},{"id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","full_name":"Portinale, Lorenzo","first_name":"Lorenzo","last_name":"Portinale"}],"arxiv":1,"status":"public","corr_author":"1","year":"2020","abstract":[{"lang":"eng","text":"We consider finite-volume approximations of Fokker-Planck equations on bounded convex domains in R^d and study the corresponding gradient flow structures. We reprove the convergence of the discrete to continuous Fokker-Planck equation via the method of Evolutionary Γ-convergence, i.e., we pass to the limit at the level of the gradient flow structures, generalising the one-dimensional result obtained by Disser and Liero. The proof is of variational nature and relies on a Mosco convergence result for functionals in the discrete-to-continuum limit that is of independent interest. Our results apply to arbitrary regular meshes, even though the associated discrete transport distances may fail to converge to the Wasserstein distance in this generality."}],"publication_status":"draft","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2008.10962"}],"ec_funded":1,"external_id":{"arxiv":["2008.10962"]},"project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117"},{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"title":"Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions","doi":"10.48550/arXiv.2008.10962","acknowledgement":"This work is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 716117) and by the Austrian Science Fund (FWF), grants No F65 and W1245.","oa_version":"Preprint"},{"doi":"10.1007/s00205-019-01486-2","title":"Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface tension","oa_version":"Published Version","ec_funded":1,"project":[{"grant_number":"665385","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program","call_identifier":"H2020"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"external_id":{"isi":["000511060200001"]},"status":"public","corr_author":"1","abstract":[{"text":"In the present work, we consider the evolution of two fluids separated by a sharp interface in the presence of surface tension—like, for example, the evolution of oil bubbles in water. Our main result is a weak–strong uniqueness principle for the corresponding free boundary problem for the incompressible Navier–Stokes equation: as long as a strong solution exists, any varifold solution must coincide with it. In particular, in the absence of physical singularities, the concept of varifold solutions—whose global in time existence has been shown by Abels (Interfaces Free Bound 9(1):31–65, 2007) for general initial data—does not introduce a mechanism for non-uniqueness. The key ingredient of our approach is the construction of a relative entropy functional capable of controlling the interface error. If the viscosities of the two fluids do not coincide, even for classical (strong) solutions the gradient of the velocity field becomes discontinuous at the interface, introducing the need for a careful additional adaption of the relative entropy.","lang":"eng"}],"publication_status":"published","scopus_import":"1","year":"2020","file":[{"file_name":"2020_ArchRatMechAn_Fischer.pdf","creator":"dernst","relation":"main_file","file_size":1897571,"file_id":"8779","success":1,"checksum":"f107e21b58f5930876f47144be37cf6c","access_level":"open_access","date_updated":"2020-11-20T09:14:22Z","content_type":"application/pdf","date_created":"2020-11-20T09:14:22Z"}],"article_processing_charge":"Yes (via OA deal)","day":"01","publisher":"Springer Nature","author":[{"last_name":"Fischer","id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0479-558X","full_name":"Fischer, Julian L","first_name":"Julian L"},{"first_name":"Sebastian","full_name":"Hensel, Sebastian","orcid":"0000-0001-7252-8072","id":"4D23B7DA-F248-11E8-B48F-1D18A9856A87","last_name":"Hensel"}],"date_published":"2020-05-01T00:00:00Z","publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"department":[{"_id":"JuFi"}],"_id":"7489","isi":1,"has_accepted_license":"1","page":"967-1087","language":[{"iso":"eng"}],"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"intvolume":"       236","ddc":["530","532"],"month":"05","type":"journal_article","publication":"Archive for Rational Mechanics and Analysis","citation":{"ieee":"J. L. Fischer and S. Hensel, “Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface tension,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 236. Springer Nature, pp. 967–1087, 2020.","short":"J.L. Fischer, S. Hensel, Archive for Rational Mechanics and Analysis 236 (2020) 967–1087.","ama":"Fischer JL, Hensel S. Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface tension. <i>Archive for Rational Mechanics and Analysis</i>. 2020;236:967-1087. doi:<a href=\"https://doi.org/10.1007/s00205-019-01486-2\">10.1007/s00205-019-01486-2</a>","ista":"Fischer JL, Hensel S. 2020. Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface tension. Archive for Rational Mechanics and Analysis. 236, 967–1087.","mla":"Fischer, Julian L., and Sebastian Hensel. “Weak–Strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Surface Tension.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 236, Springer Nature, 2020, pp. 967–1087, doi:<a href=\"https://doi.org/10.1007/s00205-019-01486-2\">10.1007/s00205-019-01486-2</a>.","apa":"Fischer, J. L., &#38; Hensel, S. (2020). Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface tension. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-019-01486-2\">https://doi.org/10.1007/s00205-019-01486-2</a>","chicago":"Fischer, Julian L, and Sebastian Hensel. “Weak–Strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Surface Tension.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s00205-019-01486-2\">https://doi.org/10.1007/s00205-019-01486-2</a>."},"date_created":"2020-02-16T23:00:50Z","date_updated":"2026-04-08T07:01:01Z","quality_controlled":"1","file_date_updated":"2020-11-20T09:14:22Z","oa":1,"volume":236,"article_type":"original","related_material":{"record":[{"id":"10007","relation":"dissertation_contains","status":"public"}]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"language":[{"iso":"eng"}],"ec_funded":1,"article_number":"2003.05478","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2003.05478"}],"project":[{"grant_number":"665385","call_identifier":"H2020","name":"International IST Doctoral Program","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"}],"month":"03","external_id":{"arxiv":["2003.05478"]},"doi":"10.48550/arXiv.2003.05478","title":"The local structure of the energy landscape in multiphase mean curvature flow: weak-strong uniqueness and stability of evolutions","_id":"10012","department":[{"_id":"JuFi"}],"oa_version":"Preprint","acknowledgement":"Parts of the paper were written during the visit of the authors to the Hausdorff Research Institute for Mathematics (HIM), University of Bonn, in the framework of the trimester program “Evolution of Interfaces”. The support and the hospitality of HIM are gratefully acknowledged. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 665385.","oa":1,"day":"11","article_processing_charge":"No","arxiv":1,"related_material":{"record":[{"relation":"dissertation_contains","id":"10007","status":"public"}]},"author":[{"last_name":"Fischer","first_name":"Julian L","full_name":"Fischer, Julian L","orcid":"0000-0002-0479-558X","id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Sebastian","full_name":"Hensel, Sebastian","orcid":"0000-0001-7252-8072","id":"4D23B7DA-F248-11E8-B48F-1D18A9856A87","last_name":"Hensel"},{"first_name":"Tim","full_name":"Laux, Tim","last_name":"Laux"},{"last_name":"Simon","full_name":"Simon, Thilo","first_name":"Thilo"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2020-03-11T00:00:00Z","citation":{"ama":"Fischer JL, Hensel S, Laux T, Simon T. The local structure of the energy landscape in multiphase mean curvature flow: weak-strong uniqueness and stability of evolutions. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2003.05478\">10.48550/arXiv.2003.05478</a>","short":"J.L. Fischer, S. Hensel, T. Laux, T. Simon, ArXiv (n.d.).","ista":"Fischer JL, Hensel S, Laux T, Simon T. The local structure of the energy landscape in multiphase mean curvature flow: weak-strong uniqueness and stability of evolutions. arXiv, 2003.05478.","ieee":"J. L. Fischer, S. Hensel, T. Laux, and T. Simon, “The local structure of the energy landscape in multiphase mean curvature flow: weak-strong uniqueness and stability of evolutions,” <i>arXiv</i>. .","apa":"Fischer, J. L., Hensel, S., Laux, T., &#38; Simon, T. (n.d.). The local structure of the energy landscape in multiphase mean curvature flow: weak-strong uniqueness and stability of evolutions. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2003.05478\">https://doi.org/10.48550/arXiv.2003.05478</a>","chicago":"Fischer, Julian L, Sebastian Hensel, Tim Laux, and Thilo Simon. “The Local Structure of the Energy Landscape in Multiphase Mean Curvature Flow: Weak-Strong Uniqueness and Stability of Evolutions.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2003.05478\">https://doi.org/10.48550/arXiv.2003.05478</a>.","mla":"Fischer, Julian L., et al. “The Local Structure of the Energy Landscape in Multiphase Mean Curvature Flow: Weak-Strong Uniqueness and Stability of Evolutions.” <i>ArXiv</i>, 2003.05478, doi:<a href=\"https://doi.org/10.48550/arXiv.2003.05478\">10.48550/arXiv.2003.05478</a>."},"type":"preprint","publication":"arXiv","status":"public","abstract":[{"lang":"eng","text":"We prove that in the absence of topological changes, the notion of BV solutions to planar multiphase mean curvature flow does not allow for a mechanism for (unphysical) non-uniqueness. Our approach is based on the local structure of the energy landscape near a classical evolution by mean curvature. Mean curvature flow being the gradient flow of the surface energy functional, we develop a gradient-flow analogue of the notion of calibrations. Just like the existence of a calibration guarantees that one has reached a global minimum in the energy landscape, the existence of a \"gradient flow calibration\" ensures that the route of steepest descent in the energy landscape is unique and stable."}],"publication_status":"draft","date_created":"2021-09-13T12:17:11Z","year":"2020","date_updated":"2026-04-08T07:01:01Z"},{"publication_identifier":{"issn":["1868-8969"],"isbn":["9783959771627"]},"has_accepted_license":"1","alternative_title":["LIPIcs"],"license":"https://creativecommons.org/licenses/by/3.0/","conference":{"location":"Virtual, Online; Pisa, Italy","start_date":"2020-09-07","end_date":"2020-09-09","name":"ESA: European Symposium on Algorithms"},"department":[{"_id":"HeEd"}],"_id":"8703","article_number":"75","tmp":{"name":"Creative Commons Attribution 3.0 Unported (CC BY 3.0)","image":"/images/cc_by.png","short":"CC BY (3.0)","legal_code_url":"https://creativecommons.org/licenses/by/3.0/legalcode"},"language":[{"iso":"eng"}],"month":"08","ddc":["000"],"intvolume":"       173","citation":{"ieee":"G. F. Osang, M. Rouxel-Labbé, and M. Teillaud, “Generalizing CGAL periodic Delaunay triangulations,” in <i>28th Annual European Symposium on Algorithms</i>, Virtual, Online; Pisa, Italy, 2020, vol. 173.","short":"G.F. Osang, M. Rouxel-Labbé, M. Teillaud, in:, 28th Annual European Symposium on Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.","ama":"Osang GF, Rouxel-Labbé M, Teillaud M. Generalizing CGAL periodic Delaunay triangulations. In: <i>28th Annual European Symposium on Algorithms</i>. Vol 173. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:<a href=\"https://doi.org/10.4230/LIPIcs.ESA.2020.75\">10.4230/LIPIcs.ESA.2020.75</a>","ista":"Osang GF, Rouxel-Labbé M, Teillaud M. 2020. Generalizing CGAL periodic Delaunay triangulations. 28th Annual European Symposium on Algorithms. ESA: European Symposium on Algorithms, LIPIcs, vol. 173, 75.","mla":"Osang, Georg F., et al. “Generalizing CGAL Periodic Delaunay Triangulations.” <i>28th Annual European Symposium on Algorithms</i>, vol. 173, 75, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:<a href=\"https://doi.org/10.4230/LIPIcs.ESA.2020.75\">10.4230/LIPIcs.ESA.2020.75</a>.","apa":"Osang, G. F., Rouxel-Labbé, M., &#38; Teillaud, M. (2020). Generalizing CGAL periodic Delaunay triangulations. In <i>28th Annual European Symposium on Algorithms</i> (Vol. 173). Virtual, Online; Pisa, Italy: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.ESA.2020.75\">https://doi.org/10.4230/LIPIcs.ESA.2020.75</a>","chicago":"Osang, Georg F, Mael Rouxel-Labbé, and Monique Teillaud. “Generalizing CGAL Periodic Delaunay Triangulations.” In <i>28th Annual European Symposium on Algorithms</i>, Vol. 173. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. <a href=\"https://doi.org/10.4230/LIPIcs.ESA.2020.75\">https://doi.org/10.4230/LIPIcs.ESA.2020.75</a>."},"type":"conference","publication":"28th Annual European Symposium on Algorithms","file_date_updated":"2020-10-27T14:31:52Z","date_updated":"2026-04-08T07:01:29Z","quality_controlled":"1","date_created":"2020-10-25T23:01:18Z","volume":173,"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"9056"}]},"title":"Generalizing CGAL periodic Delaunay triangulations","doi":"10.4230/LIPIcs.ESA.2020.75","oa_version":"Published Version","ec_funded":1,"project":[{"call_identifier":"H2020","name":"Alpha Shape Theory Extended","_id":"266A2E9E-B435-11E9-9278-68D0E5697425","grant_number":"788183"}],"corr_author":"1","status":"public","year":"2020","scopus_import":"1","abstract":[{"lang":"eng","text":"Even though Delaunay originally introduced his famous triangulations in the case of infinite point sets with translational periodicity, a software that computes such triangulations in the general case is not yet available, to the best of our knowledge. Combining and generalizing previous work, we present a practical algorithm for computing such triangulations. The algorithm has been implemented and experiments show that its performance is as good as the one of the CGAL package, which is restricted to cubic periodicity. "}],"publication_status":"published","day":"26","article_processing_charge":"No","file":[{"file_name":"2020_LIPIcs_Osang.pdf","relation":"main_file","creator":"cziletti","access_level":"open_access","success":1,"checksum":"fe0f7c49a99ed870c671b911e10d5496","file_id":"8712","file_size":733291,"date_created":"2020-10-27T14:31:52Z","content_type":"application/pdf","date_updated":"2020-10-27T14:31:52Z"}],"date_published":"2020-08-26T00:00:00Z","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","author":[{"last_name":"Osang","full_name":"Osang, Georg F","first_name":"Georg F","id":"464B40D6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8882-5116"},{"last_name":"Rouxel-Labbé","first_name":"Mael","full_name":"Rouxel-Labbé, Mael"},{"last_name":"Teillaud","full_name":"Teillaud, Monique","first_name":"Monique"}]},{"file":[{"creator":"bphuong","relation":"main_file","file_name":"main.pdf","content_type":"application/pdf","date_updated":"2020-07-14T12:47:59Z","date_created":"2020-02-11T09:07:27Z","file_size":405469,"file_id":"7482","checksum":"8d372ea5defd8cb8fdc430111ed754a9","access_level":"open_access"}],"oa":1,"day":"26","article_processing_charge":"No","author":[{"last_name":"Bui Thi Mai","first_name":"Phuong","full_name":"Bui Thi Mai, Phuong","id":"3EC6EE64-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Lampert","id":"40C20FD2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8622-7887","full_name":"Lampert, Christoph","first_name":"Christoph"}],"related_material":{"record":[{"status":"public","id":"9418","relation":"dissertation_contains"}],"link":[{"url":"https://iclr.cc/virtual_2020/poster_Bylx-TNKvH.html","relation":"supplementary_material"}]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2020-04-26T00:00:00Z","publication":"8th International Conference on Learning Representations","type":"conference","citation":{"short":"M. Phuong, C. Lampert, in:, 8th International Conference on Learning Representations, 2020.","ama":"Phuong M, Lampert C. Functional vs. parametric equivalence of ReLU networks. In: <i>8th International Conference on Learning Representations</i>. ; 2020.","ista":"Phuong M, Lampert C. 2020. Functional vs. parametric equivalence of ReLU networks. 8th International Conference on Learning Representations. ICLR: International Conference on Learning Representations.","ieee":"M. Phuong and C. Lampert, “Functional vs. parametric equivalence of ReLU networks,” in <i>8th International Conference on Learning Representations</i>, Online, 2020.","apa":"Phuong, M., &#38; Lampert, C. (2020). Functional vs. parametric equivalence of ReLU networks. In <i>8th International Conference on Learning Representations</i>. Online.","chicago":"Phuong, Mary, and Christoph Lampert. “Functional vs. Parametric Equivalence of ReLU Networks.” In <i>8th International Conference on Learning Representations</i>, 2020.","mla":"Phuong, Mary, and Christoph Lampert. “Functional vs. Parametric Equivalence of ReLU Networks.” <i>8th International Conference on Learning Representations</i>, 2020."},"corr_author":"1","status":"public","abstract":[{"lang":"eng","text":"We address the following question:  How redundant is the parameterisation of ReLU networks? Specifically, we consider transformations of the weight space which leave the function implemented by the network intact.  Two such transformations are known for feed-forward architectures:  permutation of neurons within a layer, and positive scaling of all incoming weights of a neuron coupled with inverse scaling of its outgoing weights. In this work, we show for architectures with non-increasing widths that permutation and scaling are in fact the only function-preserving weight transformations.  For any eligible architecture we give an explicit construction of a neural network such that any other network that implements the same function can be obtained from the original one by the application of permutations and rescaling.  The proof relies on a geometric understanding of boundaries between linear regions of ReLU networks, and we hope the developed mathematical tools are of independent interest."}],"publication_status":"published","date_created":"2020-02-11T09:07:37Z","year":"2020","file_date_updated":"2020-07-14T12:47:59Z","quality_controlled":"1","date_updated":"2026-04-08T07:01:16Z","language":[{"iso":"eng"}],"ddc":["000"],"month":"04","title":"Functional vs. parametric equivalence of ReLU networks","conference":{"location":"Online","name":"ICLR: International Conference on Learning Representations","end_date":"2020-04-30","start_date":"2020-04-27"},"department":[{"_id":"ChLa"}],"_id":"7481","oa_version":"Published Version","has_accepted_license":"1"},{"oa_version":"Published Version","title":"Reconfiguration problems","doi":"10.15479/AT:ISTA:7944","OA_place":"publisher","publication_status":"published","abstract":[{"text":"This thesis considers two examples of reconfiguration problems: flipping edges in edge-labelled triangulations of planar point sets and swapping labelled tokens placed on vertices of a graph. In both cases the studied structures – all the triangulations of a given point set or all token placements on a given graph – can be thought of as vertices of the so-called reconfiguration graph, in which two vertices are adjacent if the corresponding structures differ by a single elementary operation – by a flip of a diagonal in a triangulation or by a swap of tokens on adjacent vertices, respectively. We study the reconfiguration of one instance of a structure into another via (shortest) paths in the reconfiguration graph.\r\n\r\nFor triangulations of point sets in which each edge has a unique label and a flip transfers the label from the removed edge to the new edge, we prove a polynomial-time testable condition, called the Orbit Theorem, that characterizes when two triangulations of the same point set lie in the same connected component of the reconfiguration graph. The condition was first conjectured by Bose, Lubiw, Pathak and Verdonschot. We additionally provide a polynomial time algorithm that computes a reconfiguring flip sequence, if it exists. Our proof of the Orbit Theorem uses topological properties of a certain high-dimensional cell complex that has the usual reconfiguration graph as its 1-skeleton.\r\n\r\nIn the context of token swapping on a tree graph, we make partial progress on the problem of finding shortest reconfiguration sequences. We disprove the so-called Happy Leaf Conjecture and demonstrate the importance of swapping tokens that are already placed at the correct vertices. We also prove that a generalization of the problem to weighted coloured token swapping is NP-hard on trees but solvable in polynomial time on paths and stars.","lang":"eng"}],"year":"2020","status":"public","corr_author":"1","publisher":"Institute of Science and Technology Austria","author":[{"last_name":"Masárová","id":"45CFE238-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6660-1322","full_name":"Masárová, Zuzana","first_name":"Zuzana"}],"date_published":"2020-06-09T00:00:00Z","file":[{"file_name":"THESIS_Zuzka_Masarova.pdf","creator":"zmasarov","relation":"main_file","file_size":13661779,"file_id":"7945","checksum":"df688bc5a82b50baee0b99d25fc7b7f0","access_level":"open_access","content_type":"application/pdf","date_updated":"2020-07-14T12:48:05Z","date_created":"2020-06-08T00:34:00Z"},{"file_name":"THESIS_Zuzka_Masarova_SOURCE_FILES.zip","relation":"source_file","creator":"zmasarov","checksum":"45341a35b8f5529c74010b7af43ac188","access_level":"closed","file_size":32184006,"file_id":"7946","date_created":"2020-06-08T00:35:30Z","content_type":"application/zip","date_updated":"2020-07-14T12:48:05Z"}],"article_processing_charge":"No","day":"09","_id":"7944","department":[{"_id":"HeEd"},{"_id":"UlWa"}],"alternative_title":["ISTA Thesis"],"license":"https://creativecommons.org/licenses/by-sa/4.0/","page":"160","has_accepted_license":"1","degree_awarded":"PhD","publication_identifier":{"isbn":["978-3-99078-005-3"],"issn":["2663-337X"]},"ddc":["516","514"],"month":"06","language":[{"iso":"eng"}],"supervisor":[{"last_name":"Wagner","full_name":"Wagner, Uli","first_name":"Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568"},{"orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert","full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner"}],"tmp":{"image":"/images/cc_by_sa.png","name":"Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","short":"CC BY-SA (4.0)"},"date_created":"2020-06-08T00:49:46Z","date_updated":"2026-04-08T07:23:01Z","file_date_updated":"2020-07-14T12:48:05Z","type":"dissertation","citation":{"short":"Z. Masárová, Reconfiguration Problems, Institute of Science and Technology Austria, 2020.","ama":"Masárová Z. Reconfiguration problems. 2020. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7944\">10.15479/AT:ISTA:7944</a>","ista":"Masárová Z. 2020. Reconfiguration problems. Institute of Science and Technology Austria.","ieee":"Z. Masárová, “Reconfiguration problems,” Institute of Science and Technology Austria, 2020.","apa":"Masárová, Z. (2020). <i>Reconfiguration problems</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:7944\">https://doi.org/10.15479/AT:ISTA:7944</a>","chicago":"Masárová, Zuzana. “Reconfiguration Problems.” Institute of Science and Technology Austria, 2020. <a href=\"https://doi.org/10.15479/AT:ISTA:7944\">https://doi.org/10.15479/AT:ISTA:7944</a>.","mla":"Masárová, Zuzana. <i>Reconfiguration Problems</i>. Institute of Science and Technology Austria, 2020, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7944\">10.15479/AT:ISTA:7944</a>."},"related_material":{"record":[{"id":"7950","relation":"part_of_dissertation","status":"public"},{"status":"public","id":"5986","relation":"part_of_dissertation"}]},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","keyword":["reconfiguration","reconfiguration graph","triangulations","flip","constrained triangulations","shellability","piecewise-linear balls","token swapping","trees","coloured weighted token swapping"],"oa":1},{"oa":1,"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","type":"dissertation","citation":{"mla":"Szep, Eniko. <i>Local Adaptation in Metapopulations</i>. Institute of Science and Technology Austria, 2020, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:8574\">10.15479/AT:ISTA:8574</a>.","apa":"Szep, E. (2020). <i>Local adaptation in metapopulations</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:8574\">https://doi.org/10.15479/AT:ISTA:8574</a>","chicago":"Szep, Eniko. “Local Adaptation in Metapopulations.” Institute of Science and Technology Austria, 2020. <a href=\"https://doi.org/10.15479/AT:ISTA:8574\">https://doi.org/10.15479/AT:ISTA:8574</a>.","ieee":"E. Szep, “Local adaptation in metapopulations,” Institute of Science and Technology Austria, 2020.","ama":"Szep E. Local adaptation in metapopulations. 2020. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:8574\">10.15479/AT:ISTA:8574</a>","short":"E. Szep, Local Adaptation in Metapopulations, Institute of Science and Technology Austria, 2020.","ista":"Szep E. 2020. Local adaptation in metapopulations. Institute of Science and Technology Austria."},"date_updated":"2026-04-08T07:21:44Z","file_date_updated":"2020-09-28T07:25:37Z","date_created":"2020-09-28T07:33:38Z","supervisor":[{"last_name":"Barton","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8548-5240","full_name":"Barton, Nicholas H","first_name":"Nicholas H"}],"language":[{"iso":"eng"}],"month":"09","ddc":["570"],"publication_identifier":{"eissn":["2663-337X"]},"degree_awarded":"PhD","alternative_title":["ISTA Thesis"],"page":"158","has_accepted_license":"1","department":[{"_id":"NiBa"}],"_id":"8574","article_processing_charge":"No","day":"20","file":[{"creator":"dernst","relation":"main_file","file_name":"thesis_EnikoSzep_final.pdf","content_type":"application/pdf","date_updated":"2020-09-28T07:25:35Z","date_created":"2020-09-28T07:25:35Z","file_size":6354833,"file_id":"8575","checksum":"20e71f015fbbd78fea708893ad634ed0","success":1,"access_level":"open_access"},{"file_size":23020401,"file_id":"8576","checksum":"a8de2c14a1bb4e53c857787efbb289e1","access_level":"closed","content_type":"application/x-zip-compressed","date_updated":"2020-09-28T07:25:37Z","date_created":"2020-09-28T07:25:37Z","file_name":"thesisFiles_EnikoSzep.zip","creator":"dernst","relation":"source_file"}],"date_published":"2020-09-20T00:00:00Z","author":[{"first_name":"Eniko","full_name":"Szep, Eniko","id":"485BB5A4-F248-11E8-B48F-1D18A9856A87","last_name":"Szep"}],"publisher":"Institute of Science and Technology Austria","status":"public","corr_author":"1","year":"2020","publication_status":"published","OA_place":"publisher","abstract":[{"text":"This thesis concerns itself with the interactions of evolutionary and ecological forces and the consequences on genetic diversity and the ultimate survival of populations. It is important to understand what signals processes \r\nleave on the genome and what we can infer from such data, which is usually abundant but noisy. Furthermore, understanding how and when populations adapt or go extinct is important for practical purposes,  such as the genetic management of populations, as well as for theoretical questions, since local adaptation can be the first step toward speciation. \r\nIn Chapter 2, we introduce the method of maximum entropy to approximate the demographic changes of a population in a simple setting, namely the logistic growth model with immigration. We show that this method is not only a powerful \r\ntool in physics but can be gainfully applied in an ecological framework. We investigate how well it approximates the real \r\nbehavior of the system, and find that is does so, even in unexpected situations. Finally, we illustrate how it can model changing environments.\r\nIn Chapter 3, we analyze the co-evolution of allele frequencies and population sizes in an infinite island model.\r\nWe give conditions under which polygenic adaptation to a rare habitat is possible. The model we use is based on the diffusion approximation, considers eco-evolutionary feedback mechanisms (hard selection), and treats both \r\ndrift and environmental fluctuations explicitly. We also look at limiting scenarios, for which we derive analytical expressions. \r\nIn Chapter 4, we present a coalescent based simulation tool to obtain patterns of diversity in a spatially explicit subdivided population, in which the demographic history of each subpopulation can be specified. We compare \r\nthe results to existing predictions, and explore the relative importance of time and space under a variety of spatial arrangements and demographic histories, such as expansion and extinction. \r\nIn the last chapter, we give a brief outlook to further research. ","lang":"eng"}],"title":"Local adaptation in metapopulations","doi":"10.15479/AT:ISTA:8574","oa_version":"Published Version"},{"oa":1,"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","citation":{"apa":"Forkert, D. L. (2020). <i>Gradient flows in spaces of probability measures for finite-volume schemes, metric graphs and non-reversible Markov chains</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:7629\">https://doi.org/10.15479/AT:ISTA:7629</a>","chicago":"Forkert, Dominik L. “Gradient Flows in Spaces of Probability Measures for Finite-Volume Schemes, Metric Graphs and Non-Reversible Markov Chains.” Institute of Science and Technology Austria, 2020. <a href=\"https://doi.org/10.15479/AT:ISTA:7629\">https://doi.org/10.15479/AT:ISTA:7629</a>.","mla":"Forkert, Dominik L. <i>Gradient Flows in Spaces of Probability Measures for Finite-Volume Schemes, Metric Graphs and Non-Reversible Markov Chains</i>. Institute of Science and Technology Austria, 2020, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7629\">10.15479/AT:ISTA:7629</a>.","short":"D.L. Forkert, Gradient Flows in Spaces of Probability Measures for Finite-Volume Schemes, Metric Graphs and Non-Reversible Markov Chains, Institute of Science and Technology Austria, 2020.","ama":"Forkert DL. Gradient flows in spaces of probability measures for finite-volume schemes, metric graphs and non-reversible Markov chains. 2020. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7629\">10.15479/AT:ISTA:7629</a>","ista":"Forkert DL. 2020. Gradient flows in spaces of probability measures for finite-volume schemes, metric graphs and non-reversible Markov chains. Institute of Science and Technology Austria.","ieee":"D. L. Forkert, “Gradient flows in spaces of probability measures for finite-volume schemes, metric graphs and non-reversible Markov chains,” Institute of Science and Technology Austria, 2020."},"type":"dissertation","date_created":"2020-04-02T06:40:23Z","date_updated":"2026-04-08T07:22:00Z","file_date_updated":"2020-07-14T12:48:01Z","language":[{"iso":"eng"}],"supervisor":[{"orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","first_name":"Jan","full_name":"Maas, Jan","last_name":"Maas"}],"ddc":["510"],"month":"03","degree_awarded":"PhD","publication_identifier":{"issn":["2663-337X"]},"_id":"7629","department":[{"_id":"JaMa"}],"alternative_title":["ISTA Thesis"],"page":"154","has_accepted_license":"1","file":[{"creator":"dernst","relation":"main_file","file_name":"Thesis_Forkert_PDFA.pdf","date_updated":"2020-07-14T12:48:01Z","content_type":"application/pdf","date_created":"2020-04-14T10:47:59Z","file_id":"7657","file_size":3297129,"access_level":"open_access","checksum":"c814a1a6195269ca6fe48b0dca45ae8a"},{"creator":"dernst","relation":"source_file","file_name":"Thesis_Forkert_source.zip","date_updated":"2020-07-14T12:48:01Z","content_type":"application/x-zip-compressed","date_created":"2020-04-14T10:47:59Z","file_id":"7658","file_size":1063908,"access_level":"closed","checksum":"ceafb53f923d1b5bdf14b2b0f22e4a81"}],"article_processing_charge":"No","day":"31","author":[{"last_name":"Forkert","id":"35C79D68-F248-11E8-B48F-1D18A9856A87","first_name":"Dominik L","full_name":"Forkert, Dominik L"}],"publisher":"Institute of Science and Technology Austria","date_published":"2020-03-31T00:00:00Z","status":"public","corr_author":"1","OA_place":"publisher","abstract":[{"lang":"eng","text":"This thesis is based on three main topics: In the first part, we study convergence of discrete gradient flow structures associated with regular finite-volume discretisations of Fokker-Planck equations. We show evolutionary I convergence of the discrete gradient flows to the L2-Wasserstein gradient flow corresponding to the solution of a Fokker-Planck\r\nequation in arbitrary dimension d >= 1. Along the argument, we prove Mosco- and I-convergence results for discrete energy functionals, which are of independent interest for convergence of equivalent gradient flow structures in Hilbert spaces.\r\nThe second part investigates L2-Wasserstein flows on metric graph. The starting point is a Benamou-Brenier formula for the L2-Wasserstein distance, which is proved via a regularisation scheme for solutions of the continuity equation, adapted to the peculiar geometric structure of metric graphs. Based on those results, we show that the L2-Wasserstein space over a metric graph admits a gradient flow which may be identified as a solution of a Fokker-Planck equation.\r\nIn the third part, we focus again on the discrete gradient flows, already encountered in the first part. We propose a variational structure which extends the gradient flow structure to Markov chains violating the detailed-balance conditions. Using this structure, we characterise contraction estimates for the discrete heat flow in terms of convexity of\r\ncorresponding path-dependent energy functionals. In addition, we use this approach to derive several functional inequalities for said functionals."}],"publication_status":"published","year":"2020","ec_funded":1,"project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020","grant_number":"716117"}],"doi":"10.15479/AT:ISTA:7629","title":"Gradient flows in spaces of probability measures for finite-volume schemes, metric graphs and non-reversible Markov chains","oa_version":"Published Version"},{"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"supervisor":[{"last_name":"Wagner","orcid":"0000-0002-1494-0568","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","first_name":"Uli","full_name":"Wagner, Uli"},{"last_name":"Spreer","first_name":"Jonathan","full_name":"Spreer, Jonathan"}],"language":[{"iso":"eng"}],"month":"06","ddc":["514"],"publication_identifier":{"isbn":["978-3-99078-006-0"],"issn":["2663-337X"]},"degree_awarded":"PhD","alternative_title":["ISTA Thesis"],"page":"xviii+120","has_accepted_license":"1","department":[{"_id":"UlWa"}],"_id":"8032","oa":1,"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","related_material":{"record":[{"status":"public","id":"6556","relation":"dissertation_contains"},{"status":"public","id":"7093","relation":"dissertation_contains"}]},"type":"dissertation","citation":{"mla":"Huszár, Kristóf. <i>Combinatorial Width Parameters for 3-Dimensional Manifolds</i>. Institute of Science and Technology Austria, 2020, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:8032\">10.15479/AT:ISTA:8032</a>.","apa":"Huszár, K. (2020). <i>Combinatorial width parameters for 3-dimensional manifolds</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:8032\">https://doi.org/10.15479/AT:ISTA:8032</a>","chicago":"Huszár, Kristóf. “Combinatorial Width Parameters for 3-Dimensional Manifolds.” Institute of Science and Technology Austria, 2020. <a href=\"https://doi.org/10.15479/AT:ISTA:8032\">https://doi.org/10.15479/AT:ISTA:8032</a>.","ieee":"K. Huszár, “Combinatorial width parameters for 3-dimensional manifolds,” Institute of Science and Technology Austria, 2020.","short":"K. Huszár, Combinatorial Width Parameters for 3-Dimensional Manifolds, Institute of Science and Technology Austria, 2020.","ama":"Huszár K. Combinatorial width parameters for 3-dimensional manifolds. 2020. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:8032\">10.15479/AT:ISTA:8032</a>","ista":"Huszár K. 2020. Combinatorial width parameters for 3-dimensional manifolds. Institute of Science and Technology Austria."},"date_updated":"2026-04-08T07:21:28Z","file_date_updated":"2020-07-14T12:48:08Z","date_created":"2020-06-26T10:00:36Z","doi":"10.15479/AT:ISTA:8032","title":"Combinatorial width parameters for 3-dimensional manifolds","oa_version":"Published Version","acknowledged_ssus":[{"_id":"E-Lib"},{"_id":"CampIT"}],"article_processing_charge":"No","day":"26","file":[{"access_level":"open_access","checksum":"bd8be6e4f1addc863dfcc0fad29ee9c3","file_id":"8034","file_size":2637562,"date_created":"2020-06-26T10:03:58Z","date_updated":"2020-07-14T12:48:08Z","content_type":"application/pdf","file_name":"Kristof_Huszar-Thesis.pdf","relation":"main_file","creator":"khuszar"},{"date_created":"2020-06-26T10:10:06Z","date_updated":"2020-07-14T12:48:08Z","content_type":"application/x-zip-compressed","access_level":"closed","checksum":"d5f8456202b32f4a77552ef47a2837d1","file_id":"8035","file_size":7163491,"relation":"source_file","creator":"khuszar","file_name":"Kristof_Huszar-Thesis-source.zip"}],"date_published":"2020-06-26T00:00:00Z","publisher":"Institute of Science and Technology Austria","author":[{"id":"33C26278-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-5445-5057","full_name":"Huszár, Kristóf","first_name":"Kristóf","last_name":"Huszár"}],"status":"public","corr_author":"1","year":"2020","publication_status":"published","OA_place":"publisher","abstract":[{"lang":"eng","text":"Algorithms in computational 3-manifold topology typically take a triangulation as an input and return topological information about the underlying 3-manifold. However, extracting the desired information from a triangulation (e.g., evaluating an invariant) is often computationally very expensive. In recent years this complexity barrier has been successfully tackled in some cases by importing ideas from the theory of parameterized algorithms into the realm of 3-manifolds. Various computationally hard problems were shown to be efficiently solvable for input triangulations that are sufficiently “tree-like.”\r\nIn this thesis we focus on the key combinatorial parameter in the above context: we consider the treewidth of a compact, orientable 3-manifold, i.e., the smallest treewidth of the dual graph of any triangulation thereof. By building on the work of Scharlemann–Thompson and Scharlemann–Schultens–Saito on generalized Heegaard splittings, and on the work of Jaco–Rubinstein on layered triangulations, we establish quantitative relations between the treewidth and classical topological invariants of a 3-manifold. In particular, among other results, we show that the treewidth of a closed, orientable, irreducible, non-Haken 3-manifold is always within a constant factor of its Heegaard genus."}]}]