[{"oa_version":"Published Version","month":"08","type":"journal_article","isi":1,"ddc":["000"],"scopus_import":"1","page":"1-15","department":[{"_id":"HeEd"}],"article_processing_charge":"No","day":"01","tmp":{"name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","short":"CC BY-NC-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"doi":"10.1016/j.cagd.2019.06.003","volume":73,"project":[{"name":"Alpha Shape Theory Extended","grant_number":"788183","_id":"266A2E9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"Persistence and stability of geometric complexes","grant_number":"I02979-N35","_id":"2561EBF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"_id":"6608","date_created":"2019-07-07T21:59:20Z","publication":"Computer Aided Geometric Design","related_material":{"record":[{"relation":"dissertation_contains","id":"7460","status":"public"}]},"title":"Holes and dependences in an ordered complex","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","date_updated":"2026-04-08T07:23:21Z","oa":1,"file":[{"date_created":"2019-07-08T15:24:26Z","file_id":"6624","date_updated":"2020-07-14T12:47:34Z","access_level":"open_access","relation":"main_file","content_type":"application/pdf","checksum":"7c99be505dc7533257d42eb1830cef04","creator":"kschuh","file_name":"Elsevier_2019_Edelsbrunner.pdf","file_size":2665013}],"abstract":[{"text":"We use the canonical bases produced by the tri-partition algorithm in (Edelsbrunner and Ölsböck, 2018) to open and close holes in a polyhedral complex, K. In a concrete application, we consider the Delaunay mosaic of a finite set, we let K be an Alpha complex, and we use the persistence diagram of the distance function to guide the hole opening and closing operations. The dependences between the holes define a partial order on the cells in K that characterizes what can and what cannot be constructed using the operations. The relations in this partial order reveal structural information about the underlying filtration of complexes beyond what is expressed by the persistence diagram.","lang":"eng"}],"ec_funded":1,"publisher":"Elsevier","has_accepted_license":"1","intvolume":"        73","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","author":[{"last_name":"Edelsbrunner","first_name":"Herbert","full_name":"Edelsbrunner, Herbert","orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-4672-8297","id":"4D4AA390-F248-11E8-B48F-1D18A9856A87","full_name":"Ölsböck, Katharina","first_name":"Katharina","last_name":"Ölsböck"}],"quality_controlled":"1","external_id":{"isi":["000485207800001"]},"language":[{"iso":"eng"}],"publication_status":"published","status":"public","date_published":"2019-08-01T00:00:00Z","year":"2019","citation":{"mla":"Edelsbrunner, Herbert, and Katharina Ölsböck. “Holes and Dependences in an Ordered Complex.” <i>Computer Aided Geometric Design</i>, vol. 73, Elsevier, 2019, pp. 1–15, doi:<a href=\"https://doi.org/10.1016/j.cagd.2019.06.003\">10.1016/j.cagd.2019.06.003</a>.","ama":"Edelsbrunner H, Ölsböck K. Holes and dependences in an ordered complex. <i>Computer Aided Geometric Design</i>. 2019;73:1-15. doi:<a href=\"https://doi.org/10.1016/j.cagd.2019.06.003\">10.1016/j.cagd.2019.06.003</a>","ieee":"H. Edelsbrunner and K. Ölsböck, “Holes and dependences in an ordered complex,” <i>Computer Aided Geometric Design</i>, vol. 73. Elsevier, pp. 1–15, 2019.","apa":"Edelsbrunner, H., &#38; Ölsböck, K. (2019). Holes and dependences in an ordered complex. <i>Computer Aided Geometric Design</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.cagd.2019.06.003\">https://doi.org/10.1016/j.cagd.2019.06.003</a>","ista":"Edelsbrunner H, Ölsböck K. 2019. Holes and dependences in an ordered complex. Computer Aided Geometric Design. 73, 1–15.","chicago":"Edelsbrunner, Herbert, and Katharina Ölsböck. “Holes and Dependences in an Ordered Complex.” <i>Computer Aided Geometric Design</i>. Elsevier, 2019. <a href=\"https://doi.org/10.1016/j.cagd.2019.06.003\">https://doi.org/10.1016/j.cagd.2019.06.003</a>.","short":"H. Edelsbrunner, K. Ölsböck, Computer Aided Geometric Design 73 (2019) 1–15."},"file_date_updated":"2020-07-14T12:47:34Z"},{"article_type":"original","article_number":"138","publication_identifier":{"issn":["2399-3642"]},"day":"23","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"doi":"10.1038/s42003-019-0373-y","project":[{"call_identifier":"FP7","name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"_id":"2584A770-B435-11E9-9278-68D0E5697425","name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23","call_identifier":"FWF"},{"_id":"25832EC2-B435-11E9-9278-68D0E5697425","grant_number":"S 11407_N23","name":"Rigorous Systems Engineering","call_identifier":"FWF"}],"_id":"7210","volume":2,"oa_version":"Published Version","type":"journal_article","month":"04","scopus_import":"1","isi":1,"ddc":["000"],"department":[{"_id":"KrCh"}],"article_processing_charge":"No","has_accepted_license":"1","intvolume":"         2","author":[{"last_name":"Tkadlec","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","full_name":"Tkadlec, Josef","orcid":"0000-0002-1097-9684","first_name":"Josef"},{"last_name":"Pavlogiannis","first_name":"Andreas","id":"49704004-F248-11E8-B48F-1D18A9856A87","full_name":"Pavlogiannis, Andreas","orcid":"0000-0002-8943-0722"},{"last_name":"Chatterjee","first_name":"Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu"},{"last_name":"Nowak","first_name":"Martin A.","full_name":"Nowak, Martin A."}],"quality_controlled":"1","language":[{"iso":"eng"}],"external_id":{"isi":["000465425700006"],"pmid":["31044163"]},"date_published":"2019-04-23T00:00:00Z","year":"2019","publication_status":"published","status":"public","citation":{"chicago":"Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin A. Nowak. “Population Structure Determines the Tradeoff between Fixation Probability and Fixation Time.” <i>Communications Biology</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1038/s42003-019-0373-y\">https://doi.org/10.1038/s42003-019-0373-y</a>.","short":"J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Communications Biology 2 (2019).","mla":"Tkadlec, Josef, et al. “Population Structure Determines the Tradeoff between Fixation Probability and Fixation Time.” <i>Communications Biology</i>, vol. 2, 138, Springer Nature, 2019, doi:<a href=\"https://doi.org/10.1038/s42003-019-0373-y\">10.1038/s42003-019-0373-y</a>.","ieee":"J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Population structure determines the tradeoff between fixation probability and fixation time,” <i>Communications Biology</i>, vol. 2. Springer Nature, 2019.","ama":"Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Population structure determines the tradeoff between fixation probability and fixation time. <i>Communications Biology</i>. 2019;2. doi:<a href=\"https://doi.org/10.1038/s42003-019-0373-y\">10.1038/s42003-019-0373-y</a>","apa":"Tkadlec, J., Pavlogiannis, A., Chatterjee, K., &#38; Nowak, M. A. (2019). Population structure determines the tradeoff between fixation probability and fixation time. <i>Communications Biology</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s42003-019-0373-y\">https://doi.org/10.1038/s42003-019-0373-y</a>","ista":"Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2019. Population structure determines the tradeoff between fixation probability and fixation time. Communications Biology. 2, 138."},"file_date_updated":"2020-07-14T12:47:53Z","date_created":"2019-12-23T13:36:50Z","title":"Population structure determines the tradeoff between fixation probability and fixation time","related_material":{"record":[{"status":"public","id":"7196","relation":"part_of_dissertation"}]},"publication":"Communications Biology","pmid":1,"date_updated":"2026-04-08T07:24:11Z","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa":1,"abstract":[{"text":"The rate of biological evolution depends on the fixation probability and on the fixation time of new mutants. Intensive research has focused on identifying population structures that augment the fixation probability of advantageous mutants. But these amplifiers of natural selection typically increase fixation time. Here we study population structures that achieve a tradeoff between fixation probability and time. First, we show that no amplifiers can have an asymptotically lower absorption time than the well-mixed population. Then we design population structures that substantially augment the fixation probability with just a minor increase in fixation time. Finally, we show that those structures enable higher effective rate of evolution than the well-mixed population provided that the rate of generating advantageous mutants is relatively low. Our work sheds light on how population structure affects the rate of evolution. Moreover, our structures could be useful for lab-based, medical, or industrial applications of evolutionary optimization.","lang":"eng"}],"file":[{"file_size":1670274,"file_name":"2019_CommBio_Tkadlec.pdf","creator":"dernst","checksum":"d1a69bfe73767e4246f0a38e4e1554dd","relation":"main_file","content_type":"application/pdf","access_level":"open_access","date_updated":"2020-07-14T12:47:53Z","file_id":"7211","date_created":"2019-12-23T13:39:30Z"}],"ec_funded":1,"publisher":"Springer Nature"},{"department":[{"_id":"KrPi"}],"page":"1103-1114","scopus_import":"1","isi":1,"article_processing_charge":"No","type":"conference","month":"06","oa_version":"Preprint","doi":"10.1145/3313276.3316400","day":"01","publication_identifier":{"isbn":["9781450367059"]},"conference":{"start_date":"2019-06-23","name":"STOC: Symposium on Theory of Computing","end_date":"2019-06-26","location":"Phoenix, AZ, United States"},"_id":"6677","project":[{"_id":"258AA5B2-B435-11E9-9278-68D0E5697425","grant_number":"682815","name":"Teaching Old Crypto New Tricks","call_identifier":"H2020"}],"abstract":[{"text":"The Fiat-Shamir heuristic transforms a public-coin interactive proof into a non-interactive argument, by replacing the verifier with a cryptographic hash function that is applied to the protocol’s transcript. Constructing hash functions for which this transformation is sound is a central and long-standing open question in cryptography.\r\n\r\nWe show that solving the END−OF−METERED−LINE problem is no easier than breaking the soundness of the Fiat-Shamir transformation when applied to the sumcheck protocol. In particular, if the transformed protocol is sound, then any hard problem in #P gives rise to a hard distribution in the class CLS, which is contained in PPAD. Our result opens up the possibility of sampling moderately-sized games for which it is hard to find a Nash equilibrium, by reducing the inversion of appropriately chosen one-way functions to #SAT.\r\n\r\nOur main technical contribution is a stateful incrementally verifiable procedure that, given a SAT instance over n variables, counts the number of satisfying assignments. This is accomplished via an exponential sequence of small steps, each computable in time poly(n). Incremental verifiability means that each intermediate state includes a sumcheck-based proof of its correctness, and the proof can be updated and verified in time poly(n).","lang":"eng"}],"oa":1,"publisher":"ACM","ec_funded":1,"title":"Finding a Nash equilibrium is no easier than breaking Fiat-Shamir","related_material":{"record":[{"id":"7896","relation":"dissertation_contains","status":"public"}]},"publication":"Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing  - STOC 2019","date_created":"2019-07-24T09:20:53Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-04-08T07:24:42Z","main_file_link":[{"open_access":"1","url":"https://eprint.iacr.org/2019/549"}],"language":[{"iso":"eng"}],"external_id":{"isi":["000523199100100"]},"quality_controlled":"1","citation":{"chicago":"Choudhuri, Arka Rai, Pavel Hubáček, Chethan Kamath Hosdurg, Krzysztof Z Pietrzak, Alon Rosen, and Guy N. Rothblum. “Finding a Nash Equilibrium Is No Easier than Breaking Fiat-Shamir.” In <i>Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing  - STOC 2019</i>, 1103–14. ACM, 2019. <a href=\"https://doi.org/10.1145/3313276.3316400\">https://doi.org/10.1145/3313276.3316400</a>.","short":"A.R. Choudhuri, P. Hubáček, C. Kamath Hosdurg, K.Z. Pietrzak, A. Rosen, G.N. Rothblum, in:, Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing  - STOC 2019, ACM, 2019, pp. 1103–1114.","mla":"Choudhuri, Arka Rai, et al. “Finding a Nash Equilibrium Is No Easier than Breaking Fiat-Shamir.” <i>Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing  - STOC 2019</i>, ACM, 2019, pp. 1103–14, doi:<a href=\"https://doi.org/10.1145/3313276.3316400\">10.1145/3313276.3316400</a>.","ista":"Choudhuri AR, Hubáček P, Kamath Hosdurg C, Pietrzak KZ, Rosen A, Rothblum GN. 2019. Finding a Nash equilibrium is no easier than breaking Fiat-Shamir. Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing  - STOC 2019. STOC: Symposium on Theory of Computing, 1103–1114.","apa":"Choudhuri, A. R., Hubáček, P., Kamath Hosdurg, C., Pietrzak, K. Z., Rosen, A., &#38; Rothblum, G. N. (2019). Finding a Nash equilibrium is no easier than breaking Fiat-Shamir. In <i>Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing  - STOC 2019</i> (pp. 1103–1114). Phoenix, AZ, United States: ACM. <a href=\"https://doi.org/10.1145/3313276.3316400\">https://doi.org/10.1145/3313276.3316400</a>","ama":"Choudhuri AR, Hubáček P, Kamath Hosdurg C, Pietrzak KZ, Rosen A, Rothblum GN. Finding a Nash equilibrium is no easier than breaking Fiat-Shamir. In: <i>Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing  - STOC 2019</i>. ACM; 2019:1103-1114. doi:<a href=\"https://doi.org/10.1145/3313276.3316400\">10.1145/3313276.3316400</a>","ieee":"A. R. Choudhuri, P. Hubáček, C. Kamath Hosdurg, K. Z. Pietrzak, A. Rosen, and G. N. Rothblum, “Finding a Nash equilibrium is no easier than breaking Fiat-Shamir,” in <i>Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing  - STOC 2019</i>, Phoenix, AZ, United States, 2019, pp. 1103–1114."},"year":"2019","date_published":"2019-06-01T00:00:00Z","publication_status":"published","status":"public","author":[{"first_name":"Arka Rai","full_name":"Choudhuri, Arka Rai","last_name":"Choudhuri"},{"full_name":"Hubáček, Pavel","first_name":"Pavel","last_name":"Hubáček"},{"last_name":"Kamath Hosdurg","first_name":"Chethan","full_name":"Kamath Hosdurg, Chethan","orcid":"0009-0006-6812-7317","id":"4BD3F30E-F248-11E8-B48F-1D18A9856A87"},{"id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9139-1654","full_name":"Pietrzak, Krzysztof Z","first_name":"Krzysztof Z","last_name":"Pietrzak"},{"last_name":"Rosen","full_name":"Rosen, Alon","first_name":"Alon"},{"last_name":"Rothblum","full_name":"Rothblum, Guy N.","first_name":"Guy N."}]},{"oa":1,"abstract":[{"text":"We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density $\\rho$ and inverse temperature $\\beta$ differs from the one of the non-interacting system by the correction term $4 \\pi \\rho^2 |\\ln a^2 \\rho|^{-1} (2 - [1 - \\beta_{\\mathrm{c}}/\\beta]_+^2)$. Here $a$ is the scattering length of the interaction potential, $[\\cdot]_+ = \\max\\{ 0, \\cdot \\}$ and $\\beta_{\\mathrm{c}}$ is the inverse Berezinskii--Kosterlitz--Thouless critical temperature for superfluidity. The result is valid in the dilute limit\r\n$a^2\\rho \\ll 1$ and if $\\beta \\rho \\gtrsim 1$.","lang":"eng"}],"OA_place":"repository","ec_funded":1,"date_created":"2020-02-26T08:46:40Z","publication":"arXiv","related_material":{"record":[{"status":"public","id":"7790","relation":"later_version"},{"status":"public","relation":"dissertation_contains","id":"7514"}]},"title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound","date_updated":"2026-04-08T07:25:40Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.03372"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","arxiv":1,"external_id":{"arxiv":["1910.03372"]},"language":[{"iso":"eng"}],"status":"public","publication_status":"draft","year":"2019","date_published":"2019-10-08T00:00:00Z","citation":{"chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.1910.03372\">https://doi.org/10.48550/arXiv.1910.03372</a>.","short":"A. Deuchert, S. Mayer, R. Seiringer, ArXiv (n.d.).","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” <i>ArXiv</i>, 1910.03372, doi:<a href=\"https://doi.org/10.48550/arXiv.1910.03372\">10.48550/arXiv.1910.03372</a>.","ista":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv, 1910.03372.","apa":"Deuchert, A., Mayer, S., &#38; Seiringer, R. (n.d.). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.1910.03372\">https://doi.org/10.48550/arXiv.1910.03372</a>","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” <i>arXiv</i>. .","ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.1910.03372\">10.48550/arXiv.1910.03372</a>"},"corr_author":"1","OA_type":"green","author":[{"last_name":"Deuchert","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas"},{"last_name":"Mayer","first_name":"Simon","full_name":"Mayer, Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"page":"61","department":[{"_id":"RoSe"}],"article_processing_charge":"No","oa_version":"Preprint","month":"10","type":"preprint","day":"08","doi":"10.48550/arXiv.1910.03372","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"_id":"7524","article_number":"1910.03372"},{"article_number":"1910.12628","author":[{"first_name":"Sergey","full_name":"Avvakumov, Sergey","orcid":"0000-0002-7840-5062","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","last_name":"Avvakumov"},{"first_name":"Sergey","full_name":"Kudrya, Sergey","id":"ecf01965-d252-11ea-95a5-8ada5f6c6a67","last_name":"Kudrya"}],"publication_status":"draft","status":"public","_id":"8182","project":[{"call_identifier":"FWF","_id":"26611F5C-B435-11E9-9278-68D0E5697425","name":"Algorithms for Embeddings and Homotopy Theory","grant_number":"P31312"}],"date_published":"2019-10-28T00:00:00Z","year":"2019","corr_author":"1","citation":{"chicago":"Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions and the Mapping Degree.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.1910.12628\">https://doi.org/10.48550/arXiv.1910.12628</a>.","short":"S. Avvakumov, S. Kudrya, ArXiv (n.d.).","mla":"Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions and the Mapping Degree.” <i>ArXiv</i>, 1910.12628, doi:<a href=\"https://doi.org/10.48550/arXiv.1910.12628\">10.48550/arXiv.1910.12628</a>.","ieee":"S. Avvakumov and S. Kudrya, “Vanishing of all equivariant obstructions and the mapping degree,” <i>arXiv</i>. .","apa":"Avvakumov, S., &#38; Kudrya, S. (n.d.). Vanishing of all equivariant obstructions and the mapping degree. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.1910.12628\">https://doi.org/10.48550/arXiv.1910.12628</a>","ama":"Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping degree. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.1910.12628\">10.48550/arXiv.1910.12628</a>","ista":"Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping degree. arXiv, 1910.12628."},"external_id":{"arxiv":["1910.12628"]},"language":[{"iso":"eng"}],"day":"28","doi":"10.48550/arXiv.1910.12628","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.12628"}],"date_updated":"2026-04-08T07:25:54Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","arxiv":1,"date_created":"2020-07-30T10:45:08Z","oa_version":"Preprint","related_material":{"record":[{"id":"11446","relation":"later_version","status":"public"},{"relation":"dissertation_contains","id":"8156","status":"public"}]},"publication":"arXiv","month":"10","title":"Vanishing of all equivariant obstructions and the mapping degree","type":"preprint","article_processing_charge":"No","oa":1,"department":[{"_id":"UlWa"}],"abstract":[{"lang":"eng","text":"Suppose that $n\\neq p^k$ and $n\\neq 2p^k$ for all $k$ and all primes $p$. We prove that for any Hausdorff compactum $X$ with a free action of the symmetric group $\\mathfrak S_n$ there exists an $\\mathfrak S_n$-equivariant map $X \\to\r\n{\\mathbb R}^n$ whose image avoids the diagonal $\\{(x,x\\dots,x)\\in {\\mathbb R}^n|x\\in {\\mathbb R}\\}$.\r\n  Previously, the special cases of this statement for certain $X$ were usually proved using the equivartiant obstruction theory. Such calculations are difficult and may become infeasible past the first (primary) obstruction. We\r\ntake a different approach which allows us to prove the vanishing of all obstructions simultaneously. The essential step in the proof is classifying the possible degrees of $\\mathfrak S_n$-equivariant maps from the boundary\r\n$\\partial\\Delta^{n-1}$ of $(n-1)$-simplex to itself.  Existence of equivariant maps between spaces is important for many questions arising from discrete mathematics and geometry, such as Kneser's conjecture, the Square Peg conjecture, the Splitting Necklace problem, and the Topological Tverberg conjecture, etc. We demonstrate the utility of our result  applying it to one such question, a specific instance of envy-free division problem."}]},{"author":[{"last_name":"Avvakumov","first_name":"Sergey","full_name":"Avvakumov, Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-7840-5062"},{"last_name":"Karasev","first_name":"R.","full_name":"Karasev, R."},{"last_name":"Skopenkov","full_name":"Skopenkov, A.","first_name":"A."}],"article_number":"1908.08731","external_id":{"isi":["000986519600004"],"arxiv":["1908.08731"]},"language":[{"iso":"eng"}],"day":"23","doi":"10.48550/arXiv.1908.08731","citation":{"short":"S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).","chicago":"Avvakumov, Sergey, R. Karasev, and A. Skopenkov. “Stronger Counterexamples to the Topological Tverberg Conjecture.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.1908.08731\">https://doi.org/10.48550/arXiv.1908.08731</a>.","ista":"Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. arXiv, 1908.08731.","apa":"Avvakumov, S., Karasev, R., &#38; Skopenkov, A. (n.d.). Stronger counterexamples to the topological Tverberg conjecture. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.1908.08731\">https://doi.org/10.48550/arXiv.1908.08731</a>","ieee":"S. Avvakumov, R. Karasev, and A. Skopenkov, “Stronger counterexamples to the topological Tverberg conjecture,” <i>arXiv</i>. .","ama":"Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.1908.08731\">10.48550/arXiv.1908.08731</a>","mla":"Avvakumov, Sergey, et al. “Stronger Counterexamples to the Topological Tverberg Conjecture.” <i>ArXiv</i>, 1908.08731, doi:<a href=\"https://doi.org/10.48550/arXiv.1908.08731\">10.48550/arXiv.1908.08731</a>."},"publication_status":"draft","status":"public","_id":"8184","project":[{"call_identifier":"FWF","_id":"26611F5C-B435-11E9-9278-68D0E5697425","grant_number":"P31312","name":"Algorithms for Embeddings and Homotopy Theory"}],"year":"2019","date_published":"2019-08-23T00:00:00Z","publication":"arXiv","month":"08","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"8156"}]},"type":"preprint","title":"Stronger counterexamples to the topological Tverberg conjecture","acknowledgement":"We would like to thank F. Frick for helpful discussions","date_created":"2020-07-30T10:45:34Z","oa_version":"Preprint","arxiv":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1908.08731"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-04-08T07:25:54Z","department":[{"_id":"UlWa"}],"abstract":[{"lang":"eng","text":"Denote by ∆N the N-dimensional simplex. A map f : ∆N → Rd is an almost r-embedding if fσ1∩. . .∩fσr = ∅ whenever σ1, . . . , σr are pairwise disjoint faces. A counterexample to the topological Tverberg conjecture asserts that if r is not a prime power and d ≥ 2r + 1, then there is an almost r-embedding ∆(d+1)(r−1) → Rd. This was improved by Blagojevi´c–Frick–Ziegler using a simple construction of higher-dimensional counterexamples by taking k-fold join power of lower-dimensional ones. We improve this further (for d large compared to r): If r is not a prime power and N := (d+ 1)r−r l\r\nd + 2 r + 1 m−2, then there is an almost r-embedding ∆N → Rd. For the r-fold van Kampen–Flores conjecture we also produce counterexamples which are stronger than previously known. Our proof is based on generalizations of the Mabillard–Wagner theorem on construction of almost r-embeddings from equivariant maps, and of the Ozaydin theorem on existence of equivariant maps. "}],"oa":1,"isi":1,"article_processing_charge":"No"},{"type":"preprint","title":"Envy-free division using mapping degree","publication":"arXiv","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"8156"}],"link":[{"url":"https://doi.org/10.1112/mtk.12059","relation":"later_version"}]},"month":"07","oa_version":"Preprint","date_created":"2020-07-30T10:45:51Z","arxiv":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1907.11183"}],"date_updated":"2026-04-08T07:25:54Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"UlWa"}],"abstract":[{"text":"In this paper we study envy-free division problems. The classical approach to some of such problems, used by David Gale, reduces to considering continuous maps of a simplex to itself and finding sufficient conditions when this map hits the center of the simplex. The mere continuity is not sufficient for such a conclusion, the usual assumption (for example, in the Knaster--Kuratowski--Mazurkiewicz and the Gale theorem) is a certain boundary condition.\r\n  We follow Erel Segal-Halevi, Fr\\'ed\\'eric Meunier, and Shira Zerbib, and replace the boundary condition by another assumption, which has the economic meaning of possibility for a player to prefer an empty part in the segment\r\npartition problem. We solve the problem positively when $n$, the number of players that divide the segment, is a prime power, and we provide counterexamples for every $n$ which is not a prime power. We also provide counterexamples relevant to a wider class of fair or envy-free partition problems when $n$ is odd and not a prime power.","lang":"eng"}],"oa":1,"article_processing_charge":"No","author":[{"orcid":"0000-0002-7840-5062","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","full_name":"Avvakumov, Sergey","first_name":"Sergey","last_name":"Avvakumov"},{"last_name":"Karasev","full_name":"Karasev, Roman","first_name":"Roman"}],"article_number":"1907.11183","day":"25","doi":"10.48550/arXiv.1907.11183","external_id":{"arxiv":["1907.11183"]},"language":[{"iso":"eng"}],"corr_author":"1","citation":{"mla":"Avvakumov, Sergey, and Roman Karasev. “Envy-Free Division Using Mapping Degree.” <i>ArXiv</i>, 1907.11183, doi:<a href=\"https://doi.org/10.48550/arXiv.1907.11183\">10.48550/arXiv.1907.11183</a>.","ista":"Avvakumov S, Karasev R. Envy-free division using mapping degree. arXiv, 1907.11183.","ieee":"S. Avvakumov and R. Karasev, “Envy-free division using mapping degree,” <i>arXiv</i>. .","apa":"Avvakumov, S., &#38; Karasev, R. (n.d.). Envy-free division using mapping degree. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.1907.11183\">https://doi.org/10.48550/arXiv.1907.11183</a>","ama":"Avvakumov S, Karasev R. Envy-free division using mapping degree. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.1907.11183\">10.48550/arXiv.1907.11183</a>","chicago":"Avvakumov, Sergey, and Roman Karasev. “Envy-Free Division Using Mapping Degree.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.1907.11183\">https://doi.org/10.48550/arXiv.1907.11183</a>.","short":"S. Avvakumov, R. Karasev, ArXiv (n.d.)."},"_id":"8185","date_published":"2019-07-25T00:00:00Z","year":"2019","project":[{"call_identifier":"FWF","_id":"26611F5C-B435-11E9-9278-68D0E5697425","name":"Algorithms for Embeddings and Homotopy Theory","grant_number":"P31312"}],"publication_status":"draft","status":"public"},{"intvolume":"        10","author":[{"last_name":"Dos Santos Caldas","first_name":"Paulo R","full_name":"Dos Santos Caldas, Paulo R","orcid":"0000-0001-6730-4461","id":"38FCDB4C-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Lopez Pelegrin, Maria D","id":"319AA9CE-F248-11E8-B48F-1D18A9856A87","first_name":"Maria D","last_name":"Lopez Pelegrin"},{"last_name":"Pearce","full_name":"Pearce, Daniel J. G.","first_name":"Daniel J. G."},{"last_name":"Budanur","first_name":"Nazmi B","orcid":"0000-0003-0423-5010","full_name":"Budanur, Nazmi B","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jan","full_name":"Brugués, Jan","last_name":"Brugués"},{"last_name":"Loose","first_name":"Martin","full_name":"Loose, Martin","id":"462D4284-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-7309-9724"}],"has_accepted_license":"1","date_published":"2019-12-17T00:00:00Z","year":"2019","publication_status":"published","status":"public","citation":{"mla":"Dos Santos Caldas, Paulo R., et al. “Cooperative Ordering of Treadmilling Filaments in Cytoskeletal Networks of FtsZ and Its Crosslinker ZapA.” <i>Nature Communications</i>, vol. 10, 5744, Springer Nature, 2019, doi:<a href=\"https://doi.org/10.1038/s41467-019-13702-4\">10.1038/s41467-019-13702-4</a>.","ista":"Dos Santos Caldas PR, Lopez Pelegrin MD, Pearce DJG, Budanur NB, Brugués J, Loose M. 2019. Cooperative ordering of treadmilling filaments in cytoskeletal networks of FtsZ and its crosslinker ZapA. Nature Communications. 10, 5744.","apa":"Dos Santos Caldas, P. R., Lopez Pelegrin, M. D., Pearce, D. J. G., Budanur, N. B., Brugués, J., &#38; Loose, M. (2019). Cooperative ordering of treadmilling filaments in cytoskeletal networks of FtsZ and its crosslinker ZapA. <i>Nature Communications</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41467-019-13702-4\">https://doi.org/10.1038/s41467-019-13702-4</a>","ieee":"P. R. Dos Santos Caldas, M. D. Lopez Pelegrin, D. J. G. Pearce, N. B. Budanur, J. Brugués, and M. Loose, “Cooperative ordering of treadmilling filaments in cytoskeletal networks of FtsZ and its crosslinker ZapA,” <i>Nature Communications</i>, vol. 10. Springer Nature, 2019.","ama":"Dos Santos Caldas PR, Lopez Pelegrin MD, Pearce DJG, Budanur NB, Brugués J, Loose M. Cooperative ordering of treadmilling filaments in cytoskeletal networks of FtsZ and its crosslinker ZapA. <i>Nature Communications</i>. 2019;10. doi:<a href=\"https://doi.org/10.1038/s41467-019-13702-4\">10.1038/s41467-019-13702-4</a>","chicago":"Dos Santos Caldas, Paulo R, Maria D Lopez Pelegrin, Daniel J. G. Pearce, Nazmi B Budanur, Jan Brugués, and Martin Loose. “Cooperative Ordering of Treadmilling Filaments in Cytoskeletal Networks of FtsZ and Its Crosslinker ZapA.” <i>Nature Communications</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1038/s41467-019-13702-4\">https://doi.org/10.1038/s41467-019-13702-4</a>.","short":"P.R. Dos Santos Caldas, M.D. Lopez Pelegrin, D.J.G. Pearce, N.B. Budanur, J. Brugués, M. Loose, Nature Communications 10 (2019)."},"file_date_updated":"2020-07-14T12:47:53Z","corr_author":"1","quality_controlled":"1","external_id":{"isi":["000503009300001"]},"language":[{"iso":"eng"}],"acknowledged_ssus":[{"_id":"LifeSc"},{"_id":"Bio"}],"date_updated":"2026-04-08T07:26:30Z","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","date_created":"2019-12-20T12:22:57Z","title":"Cooperative ordering of treadmilling filaments in cytoskeletal networks of FtsZ and its crosslinker ZapA","publication":"Nature Communications","related_material":{"record":[{"status":"public","id":"8358","relation":"dissertation_contains"}]},"ec_funded":1,"publisher":"Springer Nature","oa":1,"abstract":[{"lang":"eng","text":"During bacterial cell division, the tubulin-homolog FtsZ forms a ring-like structure at the center of the cell. This Z-ring not only organizes the division machinery, but treadmilling of FtsZ filaments was also found to play a key role in distributing proteins at the division site. What regulates the architecture, dynamics and stability of the Z-ring is currently unknown, but FtsZ-associated proteins are known to play an important role. Here, using an in vitro reconstitution approach, we studied how the well-conserved protein ZapA affects FtsZ treadmilling and filament organization into large-scale patterns. Using high-resolution fluorescence microscopy and quantitative image analysis, we found that ZapA cooperatively increases the spatial order of the filament network, but binds only transiently to FtsZ filaments and has no effect on filament length and treadmilling velocity. Together, our data provides a model for how FtsZ-associated proteins can increase the precision and stability of the bacterial cell division machinery in a switch-like manner."}],"file":[{"date_created":"2019-12-23T07:34:56Z","file_id":"7208","date_updated":"2020-07-14T12:47:53Z","access_level":"open_access","checksum":"a1b44b427ba341383197790d0e8789fa","content_type":"application/pdf","relation":"main_file","file_size":8488733,"file_name":"2019_NatureComm_Caldas.pdf","creator":"dernst"}],"article_number":"5744","article_type":"original","project":[{"call_identifier":"H2020","name":"Self-Organization of the Bacterial Cell","grant_number":"679239","_id":"2595697A-B435-11E9-9278-68D0E5697425"},{"_id":"260D98C8-B435-11E9-9278-68D0E5697425","name":"Reconstitution of Bacterial Cell Division Using Purified Components"}],"_id":"7197","volume":10,"publication_identifier":{"issn":["2041-1723"]},"day":"17","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"doi":"10.1038/s41467-019-13702-4","oa_version":"Published Version","type":"journal_article","month":"12","article_processing_charge":"No","scopus_import":"1","isi":1,"ddc":["570"],"department":[{"_id":"MaLo"},{"_id":"BjHo"}]},{"publication_status":"published","status":"public","year":"2019","date_published":"2019-01-18T00:00:00Z","citation":{"ista":"Li X, Bighin G, Yakaboylu E, Lemeshko M. 2019. Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon. Molecular Physics.","ama":"Li X, Bighin G, Yakaboylu E, Lemeshko M. Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon. <i>Molecular Physics</i>. 2019. doi:<a href=\"https://doi.org/10.1080/00268976.2019.1567852\">10.1080/00268976.2019.1567852</a>","apa":"Li, X., Bighin, G., Yakaboylu, E., &#38; Lemeshko, M. (2019). Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon. <i>Molecular Physics</i>. Taylor and Francis. <a href=\"https://doi.org/10.1080/00268976.2019.1567852\">https://doi.org/10.1080/00268976.2019.1567852</a>","ieee":"X. Li, G. Bighin, E. Yakaboylu, and M. Lemeshko, “Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon,” <i>Molecular Physics</i>. Taylor and Francis, 2019.","mla":"Li, Xiang, et al. “Variational Approaches to Quantum Impurities: From the Fröhlich Polaron to the Angulon.” <i>Molecular Physics</i>, Taylor and Francis, 2019, doi:<a href=\"https://doi.org/10.1080/00268976.2019.1567852\">10.1080/00268976.2019.1567852</a>.","short":"X. Li, G. Bighin, E. Yakaboylu, M. Lemeshko, Molecular Physics (2019).","chicago":"Li, Xiang, Giacomo Bighin, Enderalp Yakaboylu, and Mikhail Lemeshko. “Variational Approaches to Quantum Impurities: From the Fröhlich Polaron to the Angulon.” <i>Molecular Physics</i>. Taylor and Francis, 2019. <a href=\"https://doi.org/10.1080/00268976.2019.1567852\">https://doi.org/10.1080/00268976.2019.1567852</a>."},"file_date_updated":"2020-07-14T12:47:13Z","quality_controlled":"1","external_id":{"isi":["000474641400008"]},"language":[{"iso":"eng"}],"author":[{"last_name":"Li","full_name":"Li, Xiang","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","first_name":"Xiang"},{"last_name":"Bighin","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8823-9777","full_name":"Bighin, Giacomo","first_name":"Giacomo"},{"last_name":"Yakaboylu","first_name":"Enderalp","orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Mikhail","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko"}],"has_accepted_license":"1","ec_funded":1,"publisher":"Taylor and Francis","oa":1,"abstract":[{"text":"Problems involving quantum impurities, in which one or a few particles are interacting with a macroscopic environment, represent a pervasive paradigm, spanning across atomic, molecular, and condensed-matter physics. In this paper we introduce new variational approaches to quantum impurities and apply them to the Fröhlich polaron–a quasiparticle formed out of an electron (or other point-like impurity) in a polar medium, and to the angulon–a quasiparticle formed out of a rotating molecule in a bosonic bath. We benchmark these approaches against established theories, evaluating their accuracy as a function of the impurity-bath coupling.","lang":"eng"}],"file":[{"file_id":"5896","date_created":"2019-01-29T08:32:57Z","date_updated":"2020-07-14T12:47:13Z","access_level":"open_access","checksum":"178964744b636a6f036372f4f090a657","content_type":"application/pdf","relation":"main_file","file_size":1309966,"file_name":"2019_MolecularPhysics_Li.pdf","creator":"dernst"}],"date_updated":"2026-04-08T07:26:09Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2019-01-27T22:59:10Z","related_material":{"record":[{"relation":"dissertation_contains","id":"8958","status":"public"}]},"publication":"Molecular Physics","title":"Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon","_id":"5886","project":[{"grant_number":"P29902","name":"Quantum rotations in the presence of a many-body environment","_id":"26031614-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"}],"publication_identifier":{"issn":["0026-8976"]},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"day":"18","doi":"10.1080/00268976.2019.1567852","article_processing_charge":"No","isi":1,"ddc":["530"],"scopus_import":"1","department":[{"_id":"MiLe"}],"oa_version":"Published Version","month":"01","type":"journal_article"},{"type":"dissertation","month":"10","oa_version":"Published Version","article_processing_charge":"No","department":[{"_id":"BjHo"}],"page":"138","ddc":["532"],"degree_awarded":"PhD","_id":"6957","supervisor":[{"orcid":"0000-0003-2057-2754","full_name":"Hof, Björn","id":"3A374330-F248-11E8-B48F-1D18A9856A87","first_name":"Björn","last_name":"Hof"}],"day":"24","doi":"10.15479/AT:ISTA:6957","publication_identifier":{"eissn":["2663-337X"]},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","date_updated":"2026-04-08T07:46:58Z","title":"Onset of turbulence in plane Poiseuille flow","keyword":["Instabilities","Turbulence","Nonlinear dynamics"],"date_created":"2019-10-22T12:08:43Z","publisher":"Institute of Science and Technology Austria","OA_place":"publisher","abstract":[{"lang":"eng","text":"In many shear flows like pipe flow, plane Couette flow, plane Poiseuille flow,  etc. turbulence emerges subcritically. Here, when subjected to strong enough perturbations, the flow becomes turbulent in spite of the laminar base flow being linearly stable.  The nature of this instability has puzzled the scientific community for decades. At onset, turbulence appears in localized patches and flows are spatio-temporally intermittent.  In pipe flow the localized turbulent structures are referred to as puffs and in planar flows like plane Couette and channel flow, patches arise in the form of localized oblique bands. In this thesis, we study the onset of turbulence in channel flow in direct numerical simulations from a dynamical system theory perspective, as well as by performing experiments in a large aspect ratio channel.\r\n\r\nThe aim of the experimental work is to determine the critical Reynolds number where turbulence first becomes sustained. Recently, the onset of turbulence has been described in analogy to absorbing state phase transition (i.e. directed percolation). In particular, it has been shown that the critical point can be estimated from the competition between spreading and decay processes. Here, by performing experiments, we identify the mechanisms underlying turbulence proliferation in channel flow and find the critical Reynolds number, above which turbulence becomes sustained. Above the critical point, the continuous growth at the tip of the stripes outweighs the stochastic shedding of turbulent patches at the tail and the stripes expand. For growing stripes, the probability to decay decreases while the probability of stripe splitting increases. Consequently, and unlike for the puffs in pipe flow, neither of these two processes is time-independent i.e. memoryless. Coupling between stripe expansion and creation of new stripes via splitting leads to a significantly lower critical point ($Re_c=670+/-10$) than most earlier studies suggest.  \r\n\r\nWhile the above approach sheds light on how turbulence first becomes sustained, it provides no insight into the origin of the stripes themselves. In the numerical part of the thesis we investigate how turbulent stripes form from invariant solutions of the Navier-Stokes equations. The origin of these turbulent stripes can be identified by applying concepts from the dynamical system theory. In doing so, we identify the exact coherent structures underlying stripes and their bifurcations and how they give rise to the turbulent attractor in phase space. We first report a family of localized nonlinear traveling wave solutions of the Navier-Stokes equations in channel flow. These solutions show structural similarities with turbulent stripes in experiments like obliqueness, quasi-streamwise streaks and vortices, etc. A parametric study of these traveling wave solution is performed, with parameters like Reynolds number, stripe tilt angle and domain size, including the stability of the solutions. These solutions emerge through saddle-node bifurcations and form a phase space skeleton for the turbulent stripes observed in the experiments. The lower branches of these TW solutions at different tilt angles undergo Hopf bifurcation and new solutions branches of relative periodic orbits emerge. These RPO solutions do not belong to the same family and therefore the routes to chaos for different angles are different.  \r\n\r\nIn shear flows, turbulence at onset is transient in nature.  Consequently,turbulence can not be tracked to lower Reynolds numbers, where the dynamics may simplify. Before this happens, turbulence becomes short-lived and laminarizes. In the last part of the thesis, we show that using numerical simulations we can continue turbulent stripes in channel flow past the 'relaminarization barrier' all the way to their origin. Here, turbulent stripe dynamics simplifies and the fluctuations are no longer stochastic and the stripe settles down to a relative periodic orbit. This relative periodic orbit originates from the aforementioned traveling wave solutions. Starting from the relative periodic orbit, a small increase in speed i.e. Reynolds number gives rise to chaos and the attractor dimension sharply increases in contrast to the classical transition scenario where the instabilities affect the flow globally and give rise to much more gradual route to turbulence."}],"file":[{"file_id":"6962","date_created":"2019-10-23T09:54:43Z","access_level":"closed","date_updated":"2020-07-14T12:47:46Z","content_type":"application/zip","relation":"source_file","checksum":"7ba298ba0ce7e1d11691af6b8eaf0a0a","creator":"cparanjape","file_size":45828099,"file_name":"Chaitanya_Paranjape_source_files_tex_figures.zip"},{"file_name":"Chaitanya_Paranjape_Thesis.pdf","file_size":19504197,"creator":"cparanjape","checksum":"642697618314e31ac31392da7909c2d9","content_type":"application/pdf","relation":"main_file","access_level":"open_access","date_updated":"2020-07-14T12:47:46Z","date_created":"2019-10-23T10:37:09Z","file_id":"6963"}],"oa":1,"author":[{"first_name":"Chaitanya S","id":"3D85B7C4-F248-11E8-B48F-1D18A9856A87","full_name":"Paranjape, Chaitanya S","last_name":"Paranjape"}],"has_accepted_license":"1","alternative_title":["ISTA Thesis"],"citation":{"ieee":"C. S. Paranjape, “Onset of turbulence in plane Poiseuille flow,” Institute of Science and Technology Austria, 2019.","apa":"Paranjape, C. S. (2019). <i>Onset of turbulence in plane Poiseuille flow</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:6957\">https://doi.org/10.15479/AT:ISTA:6957</a>","ama":"Paranjape CS. Onset of turbulence in plane Poiseuille flow. 2019. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:6957\">10.15479/AT:ISTA:6957</a>","ista":"Paranjape CS. 2019. Onset of turbulence in plane Poiseuille flow. Institute of Science and Technology Austria.","mla":"Paranjape, Chaitanya S. <i>Onset of Turbulence in Plane Poiseuille Flow</i>. Institute of Science and Technology Austria, 2019, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:6957\">10.15479/AT:ISTA:6957</a>.","short":"C.S. Paranjape, Onset of Turbulence in Plane Poiseuille Flow, Institute of Science and Technology Austria, 2019.","chicago":"Paranjape, Chaitanya S. “Onset of Turbulence in Plane Poiseuille Flow.” Institute of Science and Technology Austria, 2019. <a href=\"https://doi.org/10.15479/AT:ISTA:6957\">https://doi.org/10.15479/AT:ISTA:6957</a>."},"file_date_updated":"2020-07-14T12:47:46Z","corr_author":"1","date_published":"2019-10-24T00:00:00Z","year":"2019","publication_status":"published","status":"public","language":[{"iso":"eng"}]},{"oa_version":"Published Version","type":"dissertation","month":"12","ddc":["570"],"department":[{"_id":"JiFr"}],"page":"192","article_processing_charge":"No","degree_awarded":"PhD","publication_identifier":{"eissn":["2663-337X"]},"doi":"10.15479/AT:ISTA:7172","day":"12","_id":"7172","supervisor":[{"last_name":"Friml","first_name":"Jiří","orcid":"0000-0002-8302-7596","full_name":"Friml, Jiří","id":"4159519E-F248-11E8-B48F-1D18A9856A87"}],"date_created":"2019-12-11T21:24:39Z","title":"Molecular mechanisms of endomembrane trafficking in Arabidopsis thaliana","related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"449"},{"status":"public","id":"6377","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"1346","status":"public"}]},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","date_updated":"2026-04-08T13:54:45Z","oa":1,"file":[{"checksum":"ef981c1a3b1d9da0edcbedcff4970d37","relation":"source_file","content_type":"application/vnd.openxmlformats-officedocument.wordprocessingml.document","file_size":20454014,"file_name":"Thesis_Mina_final_upload_7.docx","creator":"mvasilev","file_id":"7175","date_created":"2019-12-12T09:32:36Z","access_level":"closed","date_updated":"2020-07-14T12:47:51Z"},{"file_name":"Thesis_Mina_final_upload_7.pdf","file_size":11565025,"creator":"mvasilev","checksum":"3882c4585e46c9cfb486e4225cad54ab","relation":"main_file","content_type":"application/pdf","access_level":"open_access","date_updated":"2020-07-14T12:47:51Z","file_id":"7176","date_created":"2019-12-12T09:33:10Z"}],"abstract":[{"text":"The development and growth of Arabidopsis thaliana is regulated by a combination of genetic programing and also by the environmental influences. An important role in these processes play the phytohormones and among them, auxin is crucial as it controls many important functions. It is transported through the whole plant body by creating local and temporal concentration maxima and minima, which have an impact on the cell status, tissue and organ identity. Auxin has the property to undergo a directional and finely regulated cell-to-cell transport, which is enabled by the transport proteins, localized on the plasma membrane. An important role in this process have the PIN auxin efflux proteins, which have an asymmetric/polar subcellular localization and determine the directionality of the auxin transport. During the last years, there were significant advances in understanding how the trafficking molecular machineries function, including studies on molecular interactions, function, subcellular localization and intracellular distribution. However, there is still a lack of detailed characterization on the steps of endocytosis, exocytosis, endocytic recycling and degradation. Due to this fact, I focused on the identification of novel trafficking factors and better characterization of the intracellular trafficking pathways. My PhD thesis consists of an introductory chapter, three experimental chapters, a chapter containing general discussion, conclusions and perspectives and also an appendix chapter with published collaborative papers.\r\nThe first chapter is separated in two different parts: I start by a general introduction to auxin biology and then I introduce the trafficking pathways in the model plant Arabidopsis thaliana. Then, I explain also the phosphorylation-signals for polar targeting and also the roles of the phytohormone strigolactone.\r\nThe second chapter includes the characterization of bar1/sacsin mutant, which was identified in a forward genetic screen for novel trafficking components in Arabidopsis thaliana, where by the implementation of an EMS-treated pPIN1::PIN1-GFP marker line and by using the established inhibitor of ARF-GEFs, Brefeldin A (BFA) as a tool to study trafficking processes, we identified a novel factor, which is mediating the adaptation of the plant cell to ARF-GEF inhibition. The mutation is in a previously uncharacterized gene, encoding a very big protein that we, based on its homologies, called SACSIN with domains suggesting roles as a molecular chaperon or as a component of the ubiquitin-proteasome system. Our physiology and imaging studies revealed that SACSIN is a crucial plant cell component of the adaptation to the ARF-GEF inhibition.\r\nThe third chapter includes six subchapters, where I focus on the role of the phytohormone strigolactone, which interferes with auxin feedback on PIN internalization. Strigolactone moderates the polar auxin transport by increasing the internalization of the PIN auxin efflux carriers, which reduces the canalization related growth responses. In addition, I also studied the role of phosphorylation in the strigolactone regulation of auxin feedback on PIN internalization. In this chapter I also present my results on the MAX2-dependence of strigolactone-mediated root growth inhibition and I also share my results on the auxin metabolomics profiling after application of GR24.\r\nIn the fourth chapter I studied the effect of two small molecules ES-9 and ES9-17, which were identified from a collection of small molecules with the property to impair the clathrin-mediated endocytosis.\r\nIn the fifth chapter, I discuss all my observations and experimental findings and suggest alternative hypothesis to interpret my results.\r\nIn the appendix there are three collaborative published projects. In the first, I participated in the characterization of the role of ES9 as a small molecule, which is inhibitor of clathrin- mediated endocytosis in different model organisms. In the second paper, I contributed to the characterization of another small molecule ES9-17, which is a non-protonophoric analog of ES9 and also impairs the clathrin-mediated endocytosis not only in plant cells, but also in mammalian HeLa cells. Last but not least, I also attach another paper, where I tried to establish the grafting method as a technique in our lab to study canalization related processes.","lang":"eng"}],"OA_place":"publisher","publisher":"Institute of Science and Technology Austria","has_accepted_license":"1","author":[{"last_name":"Vasileva","first_name":"Mina K","full_name":"Vasileva, Mina K","id":"3407EB18-F248-11E8-B48F-1D18A9856A87"}],"acknowledged_ssus":[{"_id":"LifeSc"},{"_id":"Bio"}],"language":[{"iso":"eng"}],"year":"2019","date_published":"2019-12-12T00:00:00Z","publication_status":"published","status":"public","citation":{"apa":"Vasileva, M. K. (2019). <i>Molecular mechanisms of endomembrane trafficking in Arabidopsis thaliana</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:7172\">https://doi.org/10.15479/AT:ISTA:7172</a>","ama":"Vasileva MK. Molecular mechanisms of endomembrane trafficking in Arabidopsis thaliana. 2019. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7172\">10.15479/AT:ISTA:7172</a>","ieee":"M. K. Vasileva, “Molecular mechanisms of endomembrane trafficking in Arabidopsis thaliana,” Institute of Science and Technology Austria, 2019.","ista":"Vasileva MK. 2019. Molecular mechanisms of endomembrane trafficking in Arabidopsis thaliana. Institute of Science and Technology Austria.","mla":"Vasileva, Mina K. <i>Molecular Mechanisms of Endomembrane Trafficking in Arabidopsis Thaliana</i>. Institute of Science and Technology Austria, 2019, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7172\">10.15479/AT:ISTA:7172</a>.","short":"M.K. Vasileva, Molecular Mechanisms of Endomembrane Trafficking in Arabidopsis Thaliana, Institute of Science and Technology Austria, 2019.","chicago":"Vasileva, Mina K. “Molecular Mechanisms of Endomembrane Trafficking in Arabidopsis Thaliana.” Institute of Science and Technology Austria, 2019. <a href=\"https://doi.org/10.15479/AT:ISTA:7172\">https://doi.org/10.15479/AT:ISTA:7172</a>."},"file_date_updated":"2020-07-14T12:47:51Z","corr_author":"1","alternative_title":["ISTA Thesis"]},{"degree_awarded":"PhD","doi":"10.15479/at:ista:th6071","day":"11","publication_identifier":{"issn":["2663-337X"]},"supervisor":[{"first_name":"Gašper","id":"3D494DCA-F248-11E8-B48F-1D18A9856A87","full_name":"Tkačik, Gašper","orcid":"0000-0002-6699-1455","last_name":"Tkačik"}],"project":[{"_id":"254E9036-B435-11E9-9278-68D0E5697425","name":"Biophysics of information processing in gene regulation","grant_number":"P28844-B27","call_identifier":"FWF"}],"_id":"6071","month":"03","type":"dissertation","oa_version":"Published Version","page":"189","department":[{"_id":"GaTk"},{"_id":"NiBa"}],"ddc":["576"],"article_processing_charge":"No","has_accepted_license":"1","author":[{"id":"4456104E-F248-11E8-B48F-1D18A9856A87","full_name":"Prizak, Roshan","first_name":"Roshan","last_name":"Prizak"}],"language":[{"iso":"eng"}],"citation":{"ieee":"R. Prizak, “Coevolution of transcription factors and their binding sites in sequence space,” Institute of Science and Technology Austria, 2019.","apa":"Prizak, R. (2019). <i>Coevolution of transcription factors and their binding sites in sequence space</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:th6071\">https://doi.org/10.15479/at:ista:th6071</a>","ama":"Prizak R. Coevolution of transcription factors and their binding sites in sequence space. 2019. doi:<a href=\"https://doi.org/10.15479/at:ista:th6071\">10.15479/at:ista:th6071</a>","ista":"Prizak R. 2019. Coevolution of transcription factors and their binding sites in sequence space. Institute of Science and Technology Austria.","mla":"Prizak, Roshan. <i>Coevolution of Transcription Factors and Their Binding Sites in Sequence Space</i>. Institute of Science and Technology Austria, 2019, doi:<a href=\"https://doi.org/10.15479/at:ista:th6071\">10.15479/at:ista:th6071</a>.","short":"R. Prizak, Coevolution of Transcription Factors and Their Binding Sites in Sequence Space, Institute of Science and Technology Austria, 2019.","chicago":"Prizak, Roshan. “Coevolution of Transcription Factors and Their Binding Sites in Sequence Space.” Institute of Science and Technology Austria, 2019. <a href=\"https://doi.org/10.15479/at:ista:th6071\">https://doi.org/10.15479/at:ista:th6071</a>."},"file_date_updated":"2020-07-14T12:47:18Z","alternative_title":["ISTA Thesis"],"corr_author":"1","publication_status":"published","status":"public","date_published":"2019-03-11T00:00:00Z","year":"2019","related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"955"},{"status":"public","id":"1358","relation":"part_of_dissertation"}]},"title":"Coevolution of transcription factors and their binding sites in sequence space","date_created":"2019-03-06T16:16:10Z","date_updated":"2026-04-08T13:54:25Z","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","file":[{"file_id":"6072","date_created":"2019-03-06T16:05:07Z","access_level":"open_access","date_updated":"2020-07-14T12:47:18Z","checksum":"e60a72de35d270b31f1a23d50f224ec0","relation":"main_file","content_type":"application/pdf","file_name":"Thesis_final_PDFA_RoshanPrizak.pdf","file_size":20995465,"creator":"rprizak"},{"creator":"rprizak","file_size":85705272,"file_name":"thesis_v2_merge.zip","content_type":"application/zip","relation":"source_file","checksum":"67c2630333d05ebafef5f018863a8465","date_updated":"2020-07-14T12:47:18Z","access_level":"closed","title":"Latex files","date_created":"2019-03-06T16:09:39Z","file_id":"6073"}],"OA_place":"publisher","abstract":[{"lang":"eng","text":"Transcription factors, by binding to specific sequences on the DNA, control the precise spatio-temporal expression of genes inside a cell. However, this specificity is limited, leading to frequent incorrect binding of transcription factors that might have deleterious consequences on the cell. By constructing a biophysical model of TF-DNA binding in the context of gene regulation, I will first explore how regulatory constraints can strongly shape the distribution of a population in sequence space. Then, by directly linking this to a picture of multiple types of transcription factors performing their functions simultaneously inside the cell, I will explore the extent of regulatory crosstalk -- incorrect binding interactions between transcription factors and binding sites that lead to erroneous regulatory states -- and understand the constraints this places on the design of regulatory systems. I will then develop a generic theoretical framework to investigate the coevolution of multiple transcription factors and multiple binding sites, in the context of a gene regulatory network that performs a certain function. As a particular tractable version of this problem, I will consider the evolution of two transcription factors when they transmit upstream signals to downstream target genes. Specifically, I will describe the evolutionary steady states and the evolutionary pathways involved, along with their timescales, of a system that initially undergoes a transcription factor duplication event. To connect this important theoretical model to the prominent biological event of transcription factor duplication giving rise to paralogous families, I will then describe a bioinformatics analysis of C2H2 Zn-finger transcription factors, a major family in humans, and focus on the patterns of evolution that paralogs have undergone in their various protein domains in the recent past. "}],"oa":1,"publisher":"Institute of Science and Technology Austria"},{"publication_identifier":{"eissn":["1552-4469"],"issn":["1552-4450"]},"doi":"10.1038/s41589-019-0262-1","day":"01","_id":"6377","volume":15,"article_type":"original","scopus_import":"1","isi":1,"department":[{"_id":"JiFr"}],"page":"641–649","article_processing_charge":"No","oa_version":"None","type":"journal_article","month":"06","quality_controlled":"1","language":[{"iso":"eng"}],"external_id":{"isi":["000468195600018"]},"date_published":"2019-06-01T00:00:00Z","year":"2019","publication_status":"published","status":"public","citation":{"short":"W. Dejonghe, I. Sharma, B. Denoo, S. De Munck, Q. Lu, K. Mishev, H. Bulut, E. Mylle, R. De Rycke, M.K. Vasileva, D.V. Savatin, W. Nerinckx, A. Staes, A. Drozdzecki, D. Audenaert, K. Yperman, A. Madder, J. Friml, D. Van Damme, K. Gevaert, V. Haucke, S.N. Savvides, J. Winne, E. Russinova, Nature Chemical Biology 15 (2019) 641–649.","chicago":"Dejonghe, Wim, Isha Sharma, Bram Denoo, Steven De Munck, Qing Lu, Kiril Mishev, Haydar Bulut, et al. “Disruption of Endocytosis through Chemical Inhibition of Clathrin Heavy Chain Function.” <i>Nature Chemical Biology</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1038/s41589-019-0262-1\">https://doi.org/10.1038/s41589-019-0262-1</a>.","ama":"Dejonghe W, Sharma I, Denoo B, et al. Disruption of endocytosis through chemical inhibition of clathrin heavy chain function. <i>Nature Chemical Biology</i>. 2019;15(6):641–649. doi:<a href=\"https://doi.org/10.1038/s41589-019-0262-1\">10.1038/s41589-019-0262-1</a>","apa":"Dejonghe, W., Sharma, I., Denoo, B., De Munck, S., Lu, Q., Mishev, K., … Russinova, E. (2019). Disruption of endocytosis through chemical inhibition of clathrin heavy chain function. <i>Nature Chemical Biology</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41589-019-0262-1\">https://doi.org/10.1038/s41589-019-0262-1</a>","ieee":"W. Dejonghe <i>et al.</i>, “Disruption of endocytosis through chemical inhibition of clathrin heavy chain function,” <i>Nature Chemical Biology</i>, vol. 15, no. 6. Springer Nature, pp. 641–649, 2019.","ista":"Dejonghe W, Sharma I, Denoo B, De Munck S, Lu Q, Mishev K, Bulut H, Mylle E, De Rycke R, Vasileva MK, Savatin DV, Nerinckx W, Staes A, Drozdzecki A, Audenaert D, Yperman K, Madder A, Friml J, Van Damme D, Gevaert K, Haucke V, Savvides SN, Winne J, Russinova E. 2019. Disruption of endocytosis through chemical inhibition of clathrin heavy chain function. Nature Chemical Biology. 15(6), 641–649.","mla":"Dejonghe, Wim, et al. “Disruption of Endocytosis through Chemical Inhibition of Clathrin Heavy Chain Function.” <i>Nature Chemical Biology</i>, vol. 15, no. 6, Springer Nature, 2019, pp. 641–649, doi:<a href=\"https://doi.org/10.1038/s41589-019-0262-1\">10.1038/s41589-019-0262-1</a>."},"intvolume":"        15","issue":"6","author":[{"last_name":"Dejonghe","full_name":"Dejonghe, Wim","first_name":"Wim"},{"first_name":"Isha","full_name":"Sharma, Isha","last_name":"Sharma"},{"full_name":"Denoo, Bram","first_name":"Bram","last_name":"Denoo"},{"full_name":"De Munck, Steven","first_name":"Steven","last_name":"De Munck"},{"last_name":"Lu","first_name":"Qing","full_name":"Lu, Qing"},{"first_name":"Kiril","full_name":"Mishev, Kiril","last_name":"Mishev"},{"first_name":"Haydar","full_name":"Bulut, Haydar","last_name":"Bulut"},{"first_name":"Evelien","full_name":"Mylle, Evelien","last_name":"Mylle"},{"full_name":"De Rycke, Riet","first_name":"Riet","last_name":"De Rycke"},{"last_name":"Vasileva","first_name":"Mina K","id":"3407EB18-F248-11E8-B48F-1D18A9856A87","full_name":"Vasileva, Mina K"},{"last_name":"Savatin","full_name":"Savatin, Daniel V.","first_name":"Daniel V."},{"last_name":"Nerinckx","first_name":"Wim","full_name":"Nerinckx, Wim"},{"last_name":"Staes","full_name":"Staes, An","first_name":"An"},{"first_name":"Andrzej","full_name":"Drozdzecki, Andrzej","last_name":"Drozdzecki"},{"full_name":"Audenaert, Dominique","first_name":"Dominique","last_name":"Audenaert"},{"first_name":"Klaas","full_name":"Yperman, Klaas","last_name":"Yperman"},{"last_name":"Madder","full_name":"Madder, Annemieke","first_name":"Annemieke"},{"orcid":"0000-0002-8302-7596","full_name":"Friml, Jiří","id":"4159519E-F248-11E8-B48F-1D18A9856A87","first_name":"Jiří","last_name":"Friml"},{"full_name":"Van Damme, Daniël","first_name":"Daniël","last_name":"Van Damme"},{"full_name":"Gevaert, Kris","first_name":"Kris","last_name":"Gevaert"},{"first_name":"Volker","full_name":"Haucke, Volker","last_name":"Haucke"},{"first_name":"Savvas N.","full_name":"Savvides, Savvas N.","last_name":"Savvides"},{"first_name":"Johan","full_name":"Winne, Johan","last_name":"Winne"},{"first_name":"Eugenia","full_name":"Russinova, Eugenia","last_name":"Russinova"}],"abstract":[{"text":"Clathrin-mediated endocytosis (CME) is a highly conserved and essential cellular process in eukaryotic cells, but its dynamic and vital nature makes it challenging to study using classical genetics tools. In contrast, although small molecules can acutely and reversibly perturb CME, the few chemical CME inhibitors that have been applied to plants are either ineffective or show undesirable side effects. Here, we identify the previously described endosidin9 (ES9) as an inhibitor of clathrin heavy chain (CHC) function in both Arabidopsis and human cells through affinity-based target isolation, in vitro binding studies and X-ray crystallography. Moreover, we present a chemically improved ES9 analog, ES9-17, which lacks the undesirable side effects of ES9 while retaining the ability to target CHC. ES9 and ES9-17 have expanded the chemical toolbox used to probe CHC function, and present chemical scaffolds for further design of more specific and potent CHC inhibitors across different systems.","lang":"eng"}],"publisher":"Springer Nature","date_created":"2019-05-05T21:59:11Z","title":"Disruption of endocytosis through chemical inhibition of clathrin heavy chain function","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"7172"}]},"publication":"Nature Chemical Biology","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-04-08T13:54:44Z"},{"degree_awarded":"PhD","project":[{"call_identifier":"FP7","name":"Random matrices, universality and disordered quantum systems","grant_number":"338804","_id":"258DCDE6-B435-11E9-9278-68D0E5697425"}],"_id":"6179","supervisor":[{"orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","first_name":"László","last_name":"Erdös"}],"publication_identifier":{"issn":["2663-337X"]},"doi":"10.15479/AT:ISTA:th6179","day":"18","oa_version":"Published Version","type":"dissertation","month":"03","article_processing_charge":"No","ddc":["515","519"],"department":[{"_id":"LaEr"}],"page":"375","author":[{"last_name":"Schröder","orcid":"0000-0002-2904-1856","full_name":"Schröder, Dominik J","id":"408ED176-F248-11E8-B48F-1D18A9856A87","first_name":"Dominik J"}],"has_accepted_license":"1","year":"2019","date_published":"2019-03-18T00:00:00Z","status":"public","publication_status":"published","file_date_updated":"2020-07-14T12:47:21Z","corr_author":"1","citation":{"chicago":"Schröder, Dominik J. “From Dyson to Pearcey: Universal Statistics in Random Matrix Theory.” Institute of Science and Technology Austria, 2019. <a href=\"https://doi.org/10.15479/AT:ISTA:th6179\">https://doi.org/10.15479/AT:ISTA:th6179</a>.","short":"D.J. Schröder, From Dyson to Pearcey: Universal Statistics in Random Matrix Theory, Institute of Science and Technology Austria, 2019.","mla":"Schröder, Dominik J. <i>From Dyson to Pearcey: Universal Statistics in Random Matrix Theory</i>. Institute of Science and Technology Austria, 2019, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:th6179\">10.15479/AT:ISTA:th6179</a>.","apa":"Schröder, D. J. (2019). <i>From Dyson to Pearcey: Universal statistics in random matrix theory</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:th6179\">https://doi.org/10.15479/AT:ISTA:th6179</a>","ama":"Schröder DJ. From Dyson to Pearcey: Universal statistics in random matrix theory. 2019. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:th6179\">10.15479/AT:ISTA:th6179</a>","ieee":"D. J. Schröder, “From Dyson to Pearcey: Universal statistics in random matrix theory,” Institute of Science and Technology Austria, 2019.","ista":"Schröder DJ. 2019. From Dyson to Pearcey: Universal statistics in random matrix theory. Institute of Science and Technology Austria."},"alternative_title":["ISTA Thesis"],"language":[{"iso":"eng"}],"date_updated":"2026-04-08T13:55:03Z","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","date_created":"2019-03-28T08:58:59Z","title":"From Dyson to Pearcey: Universal statistics in random matrix theory","related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"6184"},{"status":"public","id":"6186","relation":"part_of_dissertation"},{"status":"public","id":"6185","relation":"part_of_dissertation"},{"id":"1012","relation":"part_of_dissertation","status":"public"},{"status":"public","id":"1144","relation":"part_of_dissertation"},{"status":"public","id":"6182","relation":"part_of_dissertation"}]},"ec_funded":1,"publisher":"Institute of Science and Technology Austria","oa":1,"OA_place":"publisher","file":[{"checksum":"6926f66f28079a81c4937e3764be00fc","relation":"source_file","content_type":"application/x-gzip","file_size":7104482,"file_name":"2019_Schroeder_Thesis.tar.gz","creator":"dernst","date_created":"2019-03-28T08:53:52Z","file_id":"6180","access_level":"closed","date_updated":"2020-07-14T12:47:21Z"},{"file_id":"6181","date_created":"2019-03-28T08:53:52Z","date_updated":"2020-07-14T12:47:21Z","access_level":"open_access","relation":"main_file","content_type":"application/pdf","checksum":"7d0ebb8d1207e89768cdd497a5bf80fb","creator":"dernst","file_name":"2019_Schroeder_Thesis.pdf","file_size":4228794}],"abstract":[{"text":"In the first part of this thesis we consider large random matrices with arbitrary expectation and a general slowly decaying correlation among its entries. We prove universality of the local eigenvalue statistics and optimal local laws for the resolvent in the bulk and edge regime. The main novel tool is a systematic diagrammatic control of a multivariate cumulant expansion.\r\nIn the second part we consider Wigner-type matrices and show that at any cusp singularity of the limiting eigenvalue distribution the local eigenvalue statistics are uni- versal and form a Pearcey process. Since the density of states typically exhibits only square root or cubic root cusp singularities, our work complements previous results on the bulk and edge universality and it thus completes the resolution of the Wigner- Dyson-Mehta universality conjecture for the last remaining universality type. Our analysis holds not only for exact cusps, but approximate cusps as well, where an ex- tended Pearcey process emerges. As a main technical ingredient we prove an optimal local law at the cusp, and extend the fast relaxation to equilibrium of the Dyson Brow- nian motion to the cusp regime.\r\nIn the third and final part we explore the entrywise linear statistics of Wigner ma- trices and identify the fluctuations for a large class of test functions with little regularity. This enables us to study the rectangular Young diagram obtained from the interlacing eigenvalues of the random matrix and its minor, and we find that, despite having the same limit, the fluctuations differ from those of the algebraic Young tableaux equipped with the Plancharel measure.","lang":"eng"}]},{"doi":"10.1017/fms.2019.2","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"day":"26","publication_identifier":{"eissn":["2050-5094"]},"project":[{"_id":"258DCDE6-B435-11E9-9278-68D0E5697425","name":"Random matrices, universality and disordered quantum systems","grant_number":"338804","call_identifier":"FP7"}],"_id":"6182","volume":7,"article_type":"original","article_number":"e8","department":[{"_id":"LaEr"}],"scopus_import":"1","isi":1,"ddc":["510"],"article_processing_charge":"No","type":"journal_article","month":"03","oa_version":"Published Version","external_id":{"isi":["000488847100001"],"arxiv":["1705.10661"]},"language":[{"iso":"eng"}],"quality_controlled":"1","citation":{"short":"L. Erdös, T.H. Krüger, D.J. Schröder, Forum of Mathematics, Sigma 7 (2019).","chicago":"Erdös, László, Torben H Krüger, and Dominik J Schröder. “Random Matrices with Slow Correlation Decay.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2019. <a href=\"https://doi.org/10.1017/fms.2019.2\">https://doi.org/10.1017/fms.2019.2</a>.","apa":"Erdös, L., Krüger, T. H., &#38; Schröder, D. J. (2019). Random matrices with slow correlation decay. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2019.2\">https://doi.org/10.1017/fms.2019.2</a>","ieee":"L. Erdös, T. H. Krüger, and D. J. Schröder, “Random matrices with slow correlation decay,” <i>Forum of Mathematics, Sigma</i>, vol. 7. Cambridge University Press, 2019.","ama":"Erdös L, Krüger TH, Schröder DJ. Random matrices with slow correlation decay. <i>Forum of Mathematics, Sigma</i>. 2019;7. doi:<a href=\"https://doi.org/10.1017/fms.2019.2\">10.1017/fms.2019.2</a>","ista":"Erdös L, Krüger TH, Schröder DJ. 2019. Random matrices with slow correlation decay. Forum of Mathematics, Sigma. 7, e8.","mla":"Erdös, László, et al. “Random Matrices with Slow Correlation Decay.” <i>Forum of Mathematics, Sigma</i>, vol. 7, e8, Cambridge University Press, 2019, doi:<a href=\"https://doi.org/10.1017/fms.2019.2\">10.1017/fms.2019.2</a>."},"file_date_updated":"2020-07-14T12:47:22Z","corr_author":"1","date_published":"2019-03-26T00:00:00Z","year":"2019","status":"public","publication_status":"published","has_accepted_license":"1","author":[{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös"},{"full_name":"Krüger, Torben H","orcid":"0000-0002-4821-3297","id":"3020C786-F248-11E8-B48F-1D18A9856A87","first_name":"Torben H","last_name":"Krüger"},{"last_name":"Schröder","id":"408ED176-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2904-1856","full_name":"Schröder, Dominik J","first_name":"Dominik J"}],"intvolume":"         7","abstract":[{"lang":"eng","text":"We consider large random matrices with a general slowly decaying correlation among its entries. We prove universality of the local eigenvalue statistics and optimal local laws for the resolvent away from the spectral edges, generalizing the recent result of Ajanki et al. [‘Stability of the matrix Dyson equation and random matrices with correlations’, Probab. Theory Related Fields 173(1–2) (2019), 293–373] to allow slow correlation decay and arbitrary expectation. The main novel tool is\r\na systematic diagrammatic control of a multivariate cumulant expansion."}],"file":[{"file_id":"6883","date_created":"2019-09-17T14:24:13Z","date_updated":"2020-07-14T12:47:22Z","access_level":"open_access","checksum":"933a472568221c73b2c3ce8c87bf6d15","content_type":"application/pdf","relation":"main_file","file_size":1520344,"file_name":"2019_Forum_Erdoes.pdf","creator":"dernst"}],"oa":1,"publisher":"Cambridge University Press","ec_funded":1,"title":"Random matrices with slow correlation decay","publication":"Forum of Mathematics, Sigma","related_material":{"record":[{"relation":"dissertation_contains","id":"6179","status":"public"}]},"date_created":"2019-03-28T09:05:23Z","date_updated":"2026-04-08T13:55:03Z","arxiv":1,"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd"},{"title":"Cusp universality for random matrices, II: The real symmetric case","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"6179"}]},"publication":"Pure and Applied Analysis ","date_created":"2019-03-28T10:21:17Z","date_updated":"2026-04-08T13:55:02Z","main_file_link":[{"url":"https://arxiv.org/abs/1811.04055","open_access":"1"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","arxiv":1,"abstract":[{"lang":"eng","text":"We prove that the local eigenvalue statistics of real symmetric Wigner-type\r\nmatrices near the cusp points of the eigenvalue density are universal. Together\r\nwith the companion paper [arXiv:1809.03971], which proves the same result for\r\nthe complex Hermitian symmetry class, this completes the last remaining case of\r\nthe Wigner-Dyson-Mehta universality conjecture after bulk and edge\r\nuniversalities have been established in the last years. We extend the recent\r\nDyson Brownian motion analysis at the edge [arXiv:1712.03881] to the cusp\r\nregime using the optimal local law from [arXiv:1809.03971] and the accurate\r\nlocal shape analysis of the density from [arXiv:1506.05095, arXiv:1804.07752].\r\nWe also present a PDE-based method to improve the estimate on eigenvalue\r\nrigidity via the maximum principle of the heat flow related to the Dyson\r\nBrownian motion."}],"oa":1,"publisher":"MSP","ec_funded":1,"author":[{"first_name":"Giorgio","full_name":"Cipolloni, Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4901-7992","last_name":"Cipolloni"},{"last_name":"Erdös","first_name":"László","full_name":"Erdös, László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"id":"3020C786-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4821-3297","full_name":"Krüger, Torben H","first_name":"Torben H","last_name":"Krüger"},{"orcid":"0000-0002-2904-1856","id":"408ED176-F248-11E8-B48F-1D18A9856A87","full_name":"Schröder, Dominik J","first_name":"Dominik J","last_name":"Schröder"}],"intvolume":"         1","issue":"4","language":[{"iso":"eng"}],"external_id":{"arxiv":["1811.04055"]},"quality_controlled":"1","citation":{"short":"G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, Pure and Applied Analysis  1 (2019) 615–707.","chicago":"Cipolloni, Giorgio, László Erdös, Torben H Krüger, and Dominik J Schröder. “Cusp Universality for Random Matrices, II: The Real Symmetric Case.” <i>Pure and Applied Analysis </i>. MSP, 2019. <a href=\"https://doi.org/10.2140/paa.2019.1.615\">https://doi.org/10.2140/paa.2019.1.615</a>.","ista":"Cipolloni G, Erdös L, Krüger TH, Schröder DJ. 2019. Cusp universality for random matrices, II: The real symmetric case. Pure and Applied Analysis . 1(4), 615–707.","ama":"Cipolloni G, Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices, II: The real symmetric case. <i>Pure and Applied Analysis </i>. 2019;1(4):615–707. doi:<a href=\"https://doi.org/10.2140/paa.2019.1.615\">10.2140/paa.2019.1.615</a>","apa":"Cipolloni, G., Erdös, L., Krüger, T. H., &#38; Schröder, D. J. (2019). Cusp universality for random matrices, II: The real symmetric case. <i>Pure and Applied Analysis </i>. MSP. <a href=\"https://doi.org/10.2140/paa.2019.1.615\">https://doi.org/10.2140/paa.2019.1.615</a>","ieee":"G. Cipolloni, L. Erdös, T. H. Krüger, and D. J. Schröder, “Cusp universality for random matrices, II: The real symmetric case,” <i>Pure and Applied Analysis </i>, vol. 1, no. 4. MSP, pp. 615–707, 2019.","mla":"Cipolloni, Giorgio, et al. “Cusp Universality for Random Matrices, II: The Real Symmetric Case.” <i>Pure and Applied Analysis </i>, vol. 1, no. 4, MSP, 2019, pp. 615–707, doi:<a href=\"https://doi.org/10.2140/paa.2019.1.615\">10.2140/paa.2019.1.615</a>."},"year":"2019","date_published":"2019-10-12T00:00:00Z","publication_status":"published","status":"public","type":"journal_article","month":"10","oa_version":"Preprint","department":[{"_id":"LaEr"}],"page":"615–707","scopus_import":"1","article_processing_charge":"No","article_type":"original","day":"12","doi":"10.2140/paa.2019.1.615","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"_id":"6186","project":[{"grant_number":"338804","name":"Random matrices, universality and disordered quantum systems","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program","grant_number":"665385"}],"volume":1},{"_id":"7186","supervisor":[{"first_name":"Carl-Philipp J","id":"39427864-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0912-4566","full_name":"Heisenberg, Carl-Philipp J","last_name":"Heisenberg"}],"doi":"10.15479/AT:ISTA:7186","day":"16","publication_identifier":{"issn":["2663-337X"]},"degree_awarded":"PhD","article_processing_charge":"No","department":[{"_id":"CaHe"}],"page":"107","ddc":["570"],"type":"dissertation","month":"12","oa_version":"Published Version","citation":{"apa":"Schwayer, C. (2019). <i>Mechanosensation of tight junctions depends on ZO-1 phase separation and flow</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:7186\">https://doi.org/10.15479/AT:ISTA:7186</a>","ama":"Schwayer C. Mechanosensation of tight junctions depends on ZO-1 phase separation and flow. 2019. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7186\">10.15479/AT:ISTA:7186</a>","ieee":"C. Schwayer, “Mechanosensation of tight junctions depends on ZO-1 phase separation and flow,” Institute of Science and Technology Austria, 2019.","ista":"Schwayer C. 2019. Mechanosensation of tight junctions depends on ZO-1 phase separation and flow. Institute of Science and Technology Austria.","mla":"Schwayer, Cornelia. <i>Mechanosensation of Tight Junctions Depends on ZO-1 Phase Separation and Flow</i>. Institute of Science and Technology Austria, 2019, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7186\">10.15479/AT:ISTA:7186</a>.","short":"C. Schwayer, Mechanosensation of Tight Junctions Depends on ZO-1 Phase Separation and Flow, Institute of Science and Technology Austria, 2019.","chicago":"Schwayer, Cornelia. “Mechanosensation of Tight Junctions Depends on ZO-1 Phase Separation and Flow.” Institute of Science and Technology Austria, 2019. <a href=\"https://doi.org/10.15479/AT:ISTA:7186\">https://doi.org/10.15479/AT:ISTA:7186</a>."},"alternative_title":["ISTA Thesis"],"file_date_updated":"2020-07-14T12:47:52Z","corr_author":"1","date_published":"2019-12-16T00:00:00Z","year":"2019","status":"public","publication_status":"published","acknowledged_ssus":[{"_id":"Bio"},{"_id":"LifeSc"},{"_id":"EM-Fac"},{"_id":"SSU"}],"language":[{"iso":"eng"}],"author":[{"last_name":"Schwayer","first_name":"Cornelia","orcid":"0000-0001-5130-2226","id":"3436488C-F248-11E8-B48F-1D18A9856A87","full_name":"Schwayer, Cornelia"}],"has_accepted_license":"1","publisher":"Institute of Science and Technology Austria","file":[{"relation":"source_file","content_type":"application/zip","checksum":"585583c1c875c5d9525703a539668a7c","creator":"cschwayer","file_name":"DocumentSourceFiles.zip","file_size":19431292,"date_created":"2019-12-19T15:18:11Z","file_id":"7194","access_level":"closed","date_updated":"2020-07-14T12:47:52Z"},{"file_size":19226428,"file_name":"Thesis_CS_final.pdf","creator":"cschwayer","checksum":"9b9b24351514948d27cec659e632e2cd","relation":"main_file","content_type":"application/pdf","date_updated":"2020-07-14T12:47:52Z","access_level":"open_access","file_id":"7195","date_created":"2019-12-19T15:19:21Z"}],"abstract":[{"lang":"eng","text":"Tissue morphogenesis in developmental or physiological processes is regulated by molecular\r\nand mechanical signals. While the molecular signaling cascades are increasingly well\r\ndescribed, the mechanical signals affecting tissue shape changes have only recently been\r\nstudied in greater detail. To gain more insight into the mechanochemical and biophysical\r\nbasis of an epithelial spreading process (epiboly) in early zebrafish development, we studied\r\ncell-cell junction formation and actomyosin network dynamics at the boundary between\r\nsurface layer epithelial cells (EVL) and the yolk syncytial layer (YSL). During zebrafish epiboly,\r\nthe cell mass sitting on top of the yolk cell spreads to engulf the yolk cell by the end of\r\ngastrulation. It has been previously shown that an actomyosin ring residing within the YSL\r\npulls on the EVL tissue through a cable-constriction and a flow-friction motor, thereby\r\ndragging the tissue vegetal wards. Pulling forces are likely transmitted from the YSL\r\nactomyosin ring to EVL cells; however, the nature and formation of the junctional structure\r\nmediating this process has not been well described so far. Therefore, our main aim was to\r\ndetermine the nature, dynamics and potential function of the EVL-YSL junction during this\r\nepithelial tissue spreading. Specifically, we show that the EVL-YSL junction is a\r\nmechanosensitive structure, predominantly made of tight junction (TJ) proteins. The process\r\nof TJ mechanosensation depends on the retrograde flow of non-junctional, phase-separated\r\nZonula Occludens-1 (ZO-1) protein clusters towards the EVL-YSL boundary. Interestingly, we\r\ncould demonstrate that ZO-1 is present in a non-junctional pool on the surface of the yolk\r\ncell, and ZO-1 undergoes a phase separation process that likely renders the protein\r\nresponsive to flows. These flows are directed towards the junction and mediate proper\r\ntension-dependent recruitment of ZO-1. Upon reaching the EVL-YSL junction ZO-1 gets\r\nincorporated into the junctional pool mediated through its direct actin-binding domain.\r\nWhen the non-junctional pool and/or ZO-1 direct actin binding is absent, TJs fail in their\r\nproper mechanosensitive responses resulting in slower tissue spreading. We could further\r\ndemonstrate that depletion of ZO proteins within the YSL results in diminished actomyosin\r\nring formation. This suggests that a mechanochemical feedback loop is at work during\r\nzebrafish epiboly: ZO proteins help in proper actomyosin ring formation and actomyosin\r\ncontractility and flows positively influence ZO-1 junctional recruitment. Finally, such a\r\nmesoscale polarization process mediated through the flow of phase-separated protein\r\nclusters might have implications for other processes such as immunological synapse\r\nformation, C. elegans zygote polarization and wound healing."}],"OA_place":"publisher","oa":1,"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","date_updated":"2026-04-08T13:55:29Z","title":"Mechanosensation of tight junctions depends on ZO-1 phase separation and flow","related_material":{"record":[{"id":"7001","relation":"part_of_dissertation","status":"public"},{"status":"public","id":"1096","relation":"dissertation_contains"}]},"date_created":"2019-12-16T14:26:14Z"},{"issue":"2","intvolume":"        55","author":[{"last_name":"Alt","first_name":"Johannes","full_name":"Alt, Johannes","id":"36D3D8B6-F248-11E8-B48F-1D18A9856A87"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","orcid":"0000-0001-5366-9603","first_name":"László","last_name":"Erdös"},{"first_name":"Torben H","full_name":"Krüger, Torben H","orcid":"0000-0002-4821-3297","id":"3020C786-F248-11E8-B48F-1D18A9856A87","last_name":"Krüger"},{"last_name":"Nemish","first_name":"Yuriy","id":"4D902E6A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-7327-856X","full_name":"Nemish, Yuriy"}],"quality_controlled":"1","external_id":{"isi":["000467793600003"],"arxiv":["1706.08343"]},"language":[{"iso":"eng"}],"status":"public","publication_status":"published","date_published":"2019-05-01T00:00:00Z","year":"2019","citation":{"short":"J. Alt, L. Erdös, T.H. Krüger, Y. Nemish, Annales de l’institut Henri Poincare 55 (2019) 661–696.","chicago":"Alt, Johannes, László Erdös, Torben H Krüger, and Yuriy Nemish. “Location of the Spectrum of Kronecker Random Matrices.” <i>Annales de l’institut Henri Poincare</i>. Institut Henri Poincaré, 2019. <a href=\"https://doi.org/10.1214/18-AIHP894\">https://doi.org/10.1214/18-AIHP894</a>.","ista":"Alt J, Erdös L, Krüger TH, Nemish Y. 2019. Location of the spectrum of Kronecker random matrices. Annales de l’institut Henri Poincare. 55(2), 661–696.","ieee":"J. Alt, L. Erdös, T. H. Krüger, and Y. Nemish, “Location of the spectrum of Kronecker random matrices,” <i>Annales de l’institut Henri Poincare</i>, vol. 55, no. 2. Institut Henri Poincaré, pp. 661–696, 2019.","ama":"Alt J, Erdös L, Krüger TH, Nemish Y. Location of the spectrum of Kronecker random matrices. <i>Annales de l’institut Henri Poincare</i>. 2019;55(2):661-696. doi:<a href=\"https://doi.org/10.1214/18-AIHP894\">10.1214/18-AIHP894</a>","apa":"Alt, J., Erdös, L., Krüger, T. H., &#38; Nemish, Y. (2019). Location of the spectrum of Kronecker random matrices. <i>Annales de l’institut Henri Poincare</i>. Institut Henri Poincaré. <a href=\"https://doi.org/10.1214/18-AIHP894\">https://doi.org/10.1214/18-AIHP894</a>","mla":"Alt, Johannes, et al. “Location of the Spectrum of Kronecker Random Matrices.” <i>Annales de l’institut Henri Poincare</i>, vol. 55, no. 2, Institut Henri Poincaré, 2019, pp. 661–96, doi:<a href=\"https://doi.org/10.1214/18-AIHP894\">10.1214/18-AIHP894</a>."},"date_created":"2019-04-08T14:05:04Z","publication":"Annales de l'institut Henri Poincare","related_material":{"record":[{"id":"149","relation":"dissertation_contains","status":"public"}]},"title":"Location of the spectrum of Kronecker random matrices","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","arxiv":1,"date_updated":"2026-04-08T14:11:36Z","main_file_link":[{"url":"https://arxiv.org/abs/1706.08343","open_access":"1"}],"oa":1,"abstract":[{"lang":"eng","text":"For a general class of large non-Hermitian random block matrices X we prove that there are no eigenvalues away from a deterministic set with very high probability. This set is obtained from the Dyson equation of the Hermitization of X as the self-consistent approximation of the pseudospectrum. We demonstrate that the analysis of the matrix Dyson equation from (Probab. Theory Related Fields (2018)) offers a unified treatment of many structured matrix ensembles."}],"ec_funded":1,"publisher":"Institut Henri Poincaré","publication_identifier":{"issn":["0246-0203"]},"day":"01","doi":"10.1214/18-AIHP894","volume":55,"_id":"6240","project":[{"grant_number":"338804","name":"Random matrices, universality and disordered quantum systems","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"oa_version":"Preprint","month":"05","type":"journal_article","isi":1,"scopus_import":"1","page":"661-696","department":[{"_id":"LaEr"}],"article_processing_charge":"No"},{"issue":"4","intvolume":"        20","author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","full_name":"Moser, Thomas","first_name":"Thomas","last_name":"Moser"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer"}],"has_accepted_license":"1","status":"public","publication_status":"published","year":"2019","date_published":"2019-04-01T00:00:00Z","citation":{"chicago":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” <i>Annales Henri Poincare</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00023-018-00757-0\">https://doi.org/10.1007/s00023-018-00757-0</a>.","short":"T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.","mla":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” <i>Annales Henri Poincare</i>, vol. 20, no. 4, Springer, 2019, pp. 1325–1365, doi:<a href=\"https://doi.org/10.1007/s00023-018-00757-0\">10.1007/s00023-018-00757-0</a>.","ista":"Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365.","apa":"Moser, T., &#38; Seiringer, R. (2019). Energy contribution of a point-interacting impurity in a Fermi gas. <i>Annales Henri Poincare</i>. Springer. <a href=\"https://doi.org/10.1007/s00023-018-00757-0\">https://doi.org/10.1007/s00023-018-00757-0</a>","ama":"Moser T, Seiringer R. Energy contribution of a point-interacting impurity in a Fermi gas. <i>Annales Henri Poincare</i>. 2019;20(4):1325–1365. doi:<a href=\"https://doi.org/10.1007/s00023-018-00757-0\">10.1007/s00023-018-00757-0</a>","ieee":"T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity in a Fermi gas,” <i>Annales Henri Poincare</i>, vol. 20, no. 4. Springer, pp. 1325–1365, 2019."},"file_date_updated":"2020-07-14T12:47:12Z","quality_controlled":"1","external_id":{"arxiv":["1807.00739"],"isi":["000462444300008"]},"language":[{"iso":"eng"}],"date_updated":"2026-04-08T14:12:30Z","arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2019-01-20T22:59:17Z","publication":"Annales Henri Poincare","related_material":{"record":[{"id":"52","relation":"dissertation_contains","status":"public"}]},"title":"Energy contribution of a point-interacting impurity in a Fermi gas","ec_funded":1,"publisher":"Springer","oa":1,"abstract":[{"text":"We give a bound on the ground-state energy of a system of N non-interacting fermions in a three-dimensional cubic box interacting with an impurity particle via point interactions. We show that the change in energy compared to the system in the absence of the impurity is bounded in terms of the gas density and the scattering length of the interaction, independently of N. Our bound holds as long as the ratio of the mass of the impurity to the one of the gas particles is larger than a critical value m∗ ∗≈ 0.36 , which is the same regime for which we recently showed stability of the system.","lang":"eng"}],"file":[{"checksum":"255e42f957a8e2b10aad2499c750a8d6","relation":"main_file","content_type":"application/pdf","file_size":859846,"file_name":"2019_Annales_Moser.pdf","creator":"dernst","date_created":"2019-01-28T15:27:17Z","file_id":"5894","access_level":"open_access","date_updated":"2020-07-14T12:47:12Z"}],"article_type":"original","volume":20,"_id":"5856","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"publication_identifier":{"issn":["1424-0637"]},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"doi":"10.1007/s00023-018-00757-0","day":"01","oa_version":"Published Version","month":"04","type":"journal_article","article_processing_charge":"Yes (via OA deal)","isi":1,"ddc":["530"],"scopus_import":"1","page":"1325–1365","department":[{"_id":"RoSe"}]},{"citation":{"chicago":"Xu, Haibing, Peter Baracskay, Joseph O’Neill, and Jozsef L Csicsvari. “Assembly Responses of Hippocampal CA1 Place Cells Predict Learned Behavior in Goal-Directed Spatial Tasks on the Radial Eight-Arm Maze.” <i>Neuron</i>. Elsevier, 2019. <a href=\"https://doi.org/10.1016/j.neuron.2018.11.015\">https://doi.org/10.1016/j.neuron.2018.11.015</a>.","short":"H. Xu, P. Baracskay, J. O’Neill, J.L. Csicsvari, Neuron 101 (2019) 119–132.e4.","mla":"Xu, Haibing, et al. “Assembly Responses of Hippocampal CA1 Place Cells Predict Learned Behavior in Goal-Directed Spatial Tasks on the Radial Eight-Arm Maze.” <i>Neuron</i>, vol. 101, no. 1, Elsevier, 2019, p. 119–132.e4, doi:<a href=\"https://doi.org/10.1016/j.neuron.2018.11.015\">10.1016/j.neuron.2018.11.015</a>.","ieee":"H. Xu, P. Baracskay, J. O’Neill, and J. L. Csicsvari, “Assembly responses of hippocampal CA1 place cells predict learned behavior in goal-directed spatial tasks on the radial eight-arm maze,” <i>Neuron</i>, vol. 101, no. 1. Elsevier, p. 119–132.e4, 2019.","ama":"Xu H, Baracskay P, O’Neill J, Csicsvari JL. Assembly responses of hippocampal CA1 place cells predict learned behavior in goal-directed spatial tasks on the radial eight-arm maze. <i>Neuron</i>. 2019;101(1):119-132.e4. doi:<a href=\"https://doi.org/10.1016/j.neuron.2018.11.015\">10.1016/j.neuron.2018.11.015</a>","apa":"Xu, H., Baracskay, P., O’Neill, J., &#38; Csicsvari, J. L. (2019). Assembly responses of hippocampal CA1 place cells predict learned behavior in goal-directed spatial tasks on the radial eight-arm maze. <i>Neuron</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.neuron.2018.11.015\">https://doi.org/10.1016/j.neuron.2018.11.015</a>","ista":"Xu H, Baracskay P, O’Neill J, Csicsvari JL. 2019. Assembly responses of hippocampal CA1 place cells predict learned behavior in goal-directed spatial tasks on the radial eight-arm maze. Neuron. 101(1), 119–132.e4."},"year":"2019","date_published":"2019-01-02T00:00:00Z","publication_status":"published","status":"public","language":[{"iso":"eng"}],"external_id":{"isi":["000454791500014"]},"quality_controlled":"1","author":[{"last_name":"Xu","full_name":"Xu, Haibing","id":"310349D0-F248-11E8-B48F-1D18A9856A87","first_name":"Haibing"},{"last_name":"Baracskay","first_name":"Peter","full_name":"Baracskay, Peter","id":"361CC00E-F248-11E8-B48F-1D18A9856A87"},{"last_name":"O'Neill","first_name":"Joseph","full_name":"O'Neill, Joseph","id":"426376DC-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Csicsvari","full_name":"Csicsvari, Jozsef L","orcid":"0000-0002-5193-4036","id":"3FA14672-F248-11E8-B48F-1D18A9856A87","first_name":"Jozsef L"}],"intvolume":"       101","issue":"1","publisher":"Elsevier","ec_funded":1,"abstract":[{"text":"Hippocampus is needed for both spatial working and reference memories. Here, using a radial eight-arm maze, we examined how the combined demand on these memories influenced CA1 place cell assemblies while reference memories were partially updated. This was contrasted with control tasks requiring only working memory or the update of reference memory. Reference memory update led to the reward-directed place field shifts at newly rewarded arms and to the gradual strengthening of firing in passes between newly rewarded arms but not between those passes that included a familiar-rewarded arm. At the maze center, transient network synchronization periods preferentially replayed trajectories of the next chosen arm in reference memory tasks but the previously visited arm in the working memory task. Hence, reference memory demand was uniquely associated with a gradual, goal novelty-related reorganization of place cell assemblies and with trajectory replay that reflected the animal's decision of which arm to visit next.","lang":"eng"}],"oa":1,"date_updated":"2026-04-08T14:18:54Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"open_access":"1","url":"https://www.doi.org/10.1016/j.neuron.2018.11.015"}],"title":"Assembly responses of hippocampal CA1 place cells predict learned behavior in goal-directed spatial tasks on the radial eight-arm maze","related_material":{"link":[{"relation":"press_release","description":"News on IST Homepage","url":"https://ist.ac.at/en/news/reading-rats-minds/"}],"record":[{"id":"837","relation":"dissertation_contains","status":"public"}]},"publication":"Neuron","date_created":"2019-01-13T22:59:10Z","project":[{"name":"Memory-related information processing in neuronal circuits of the hippocampus and entorhinal cortex","grant_number":"281511","_id":"257A4776-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"_id":"5828","volume":101,"doi":"10.1016/j.neuron.2018.11.015","day":"02","publication_identifier":{"issn":["1097-4199"]},"article_type":"original","article_processing_charge":"No","department":[{"_id":"JoCs"}],"page":"119-132.e4","scopus_import":"1","isi":1,"type":"journal_article","month":"01","oa_version":"Published Version"}]