[{"license":"https://creativecommons.org/licenses/by/4.0/","scopus_import":"1","external_id":{"isi":["000429799900008"]},"page":"1507 - 1527","abstract":[{"text":"We consider the two-dimensional BCS functional with a radial pair interaction. We show that the translational symmetry is not broken in a certain temperature interval below the critical temperature. In the case of vanishing angular momentum, our results carry over to the three-dimensional case.","lang":"eng"}],"has_accepted_license":"1","file":[{"date_created":"2018-12-12T10:12:47Z","file_name":"IST-2018-1011-v1+1_2018_Deuchert_Persistence.pdf","content_type":"application/pdf","file_id":"4966","file_size":582680,"access_level":"open_access","relation":"main_file","date_updated":"2020-07-14T12:46:22Z","creator":"system","checksum":"04d2c9bd7cbf3ca1d7acaaf4e7dca3e5"}],"article_processing_charge":"Yes (via OA deal)","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"title":"Persistence of translational symmetry in the BCS model with radial pair interaction","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publisher":"Springer","oa_version":"Published Version","quality_controlled":"1","issue":"5","date_created":"2018-12-11T11:46:15Z","ec_funded":1,"ddc":["510"],"oa":1,"day":"01","year":"2018","date_updated":"2023-09-15T12:04:15Z","date_published":"2018-05-01T00:00:00Z","month":"05","isi":1,"department":[{"_id":"RoSe"}],"_id":"400","type":"journal_article","volume":19,"status":"public","publication_status":"published","pubrep_id":"1011","citation":{"ista":"Deuchert A, Geisinge A, Hainzl C, Loss M. 2018. Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. 19(5), 1507–1527.","ama":"Deuchert A, Geisinge A, Hainzl C, Loss M. Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. 2018;19(5):1507-1527. doi:10.1007/s00023-018-0665-7","chicago":"Deuchert, Andreas, Alissa Geisinge, Christian Hainzl, and Michael Loss. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare. Springer, 2018. https://doi.org/10.1007/s00023-018-0665-7.","mla":"Deuchert, Andreas, et al. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare, vol. 19, no. 5, Springer, 2018, pp. 1507–27, doi:10.1007/s00023-018-0665-7.","ieee":"A. Deuchert, A. Geisinge, C. Hainzl, and M. Loss, “Persistence of translational symmetry in the BCS model with radial pair interaction,” Annales Henri Poincare, vol. 19, no. 5. Springer, pp. 1507–1527, 2018.","apa":"Deuchert, A., Geisinge, A., Hainzl, C., & Loss, M. (2018). Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. Springer. https://doi.org/10.1007/s00023-018-0665-7","short":"A. Deuchert, A. Geisinge, C. Hainzl, M. Loss, Annales Henri Poincare 19 (2018) 1507–1527."},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"publist_id":"7429","file_date_updated":"2020-07-14T12:46:22Z","author":[{"last_name":"Deuchert","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas"},{"full_name":"Geisinge, Alissa","first_name":"Alissa","last_name":"Geisinge"},{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"first_name":"Michael","last_name":"Loss","full_name":"Loss, Michael"}],"publication":"Annales Henri Poincare","doi":"10.1007/s00023-018-0665-7","language":[{"iso":"eng"}],"intvolume":" 19"},{"intvolume":" 13","language":[{"iso":"eng"}],"doi":"10.1371/journal.pone.0193049","acknowledgement":"This work was supported by the Human Frontier Science Program RGP0065/2012 (GT, ES).","publication":"PLoS One","author":[{"first_name":"Katarína","last_name":"Bod’Ová","full_name":"Bod’Ová, Katarína"},{"first_name":"Gabriel","id":"315BCD80-F248-11E8-B48F-1D18A9856A87","last_name":"Mitchell","full_name":"Mitchell, Gabriel"},{"last_name":"Harpaz","first_name":"Roy","full_name":"Harpaz, Roy"},{"full_name":"Schneidman, Elad","first_name":"Elad","last_name":"Schneidman"},{"first_name":"Gasper","id":"3D494DCA-F248-11E8-B48F-1D18A9856A87","last_name":"Tkacik","full_name":"Tkacik, Gasper","orcid":"0000-0002-6699-1455"}],"file_date_updated":"2020-07-14T12:46:22Z","publist_id":"7423","citation":{"apa":"Bod’Ová, K., Mitchell, G., Harpaz, R., Schneidman, E., & Tkačik, G. (2018). Probabilistic models of individual and collective animal behavior. PLoS One. Public Library of Science. https://doi.org/10.1371/journal.pone.0193049","short":"K. Bod’Ová, G. Mitchell, R. Harpaz, E. Schneidman, G. Tkačik, PLoS One 13 (2018).","ieee":"K. Bod’Ová, G. Mitchell, R. Harpaz, E. Schneidman, and G. Tkačik, “Probabilistic models of individual and collective animal behavior,” PLoS One, vol. 13, no. 3. Public Library of Science, 2018.","chicago":"Bod’Ová, Katarína, Gabriel Mitchell, Roy Harpaz, Elad Schneidman, and Gašper Tkačik. “Probabilistic Models of Individual and Collective Animal Behavior.” PLoS One. Public Library of Science, 2018. https://doi.org/10.1371/journal.pone.0193049.","mla":"Bod’Ová, Katarína, et al. “Probabilistic Models of Individual and Collective Animal Behavior.” PLoS One, vol. 13, no. 3, Public Library of Science, 2018, doi:10.1371/journal.pone.0193049.","ista":"Bod’Ová K, Mitchell G, Harpaz R, Schneidman E, Tkačik G. 2018. Probabilistic models of individual and collective animal behavior. PLoS One. 13(3).","ama":"Bod’Ová K, Mitchell G, Harpaz R, Schneidman E, Tkačik G. Probabilistic models of individual and collective animal behavior. PLoS One. 2018;13(3). doi:10.1371/journal.pone.0193049"},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"publication_status":"published","pubrep_id":"995","status":"public","volume":13,"type":"journal_article","_id":"406","isi":1,"department":[{"_id":"GaTk"}],"month":"03","date_published":"2018-03-07T00:00:00Z","date_updated":"2023-09-15T12:06:19Z","year":"2018","related_material":{"record":[{"status":"public","relation":"research_data","id":"9831"}]},"day":"07","oa":1,"ddc":["530","571"],"date_created":"2018-12-11T11:46:18Z","issue":"3","oa_version":"Submitted Version","quality_controlled":"1","publisher":"Public Library of Science","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","title":"Probabilistic models of individual and collective animal behavior","project":[{"grant_number":"RGP0065/2012","_id":"255008E4-B435-11E9-9278-68D0E5697425","name":"Information processing and computation in fish groups"}],"article_processing_charge":"Yes","has_accepted_license":"1","file":[{"date_created":"2018-12-12T10:15:43Z","file_name":"IST-2018-995-v1+1_2018_Bodova_Probabilistic.pdf","content_type":"application/pdf","file_id":"5165","file_size":6887358,"relation":"main_file","access_level":"open_access","date_updated":"2020-07-14T12:46:22Z","creator":"system","checksum":"684229493db75b43e98a46cd922da497"}],"abstract":[{"text":"Recent developments in automated tracking allow uninterrupted, high-resolution recording of animal trajectories, sometimes coupled with the identification of stereotyped changes of body pose or other behaviors of interest. Analysis and interpretation of such data represents a challenge: the timing of animal behaviors may be stochastic and modulated by kinematic variables, by the interaction with the environment or with the conspecifics within the animal group, and dependent on internal cognitive or behavioral state of the individual. Existing models for collective motion typically fail to incorporate the discrete, stochastic, and internal-state-dependent aspects of behavior, while models focusing on individual animal behavior typically ignore the spatial aspects of the problem. Here we propose a probabilistic modeling framework to address this gap. Each animal can switch stochastically between different behavioral states, with each state resulting in a possibly different law of motion through space. Switching rates for behavioral transitions can depend in a very general way, which we seek to identify from data, on the effects of the environment as well as the interaction between the animals. We represent the switching dynamics as a Generalized Linear Model and show that: (i) forward simulation of multiple interacting animals is possible using a variant of the Gillespie’s Stochastic Simulation Algorithm; (ii) formulated properly, the maximum likelihood inference of switching rate functions is tractably solvable by gradient descent; (iii) model selection can be used to identify factors that modulate behavioral state switching and to appropriately adjust model complexity to data. To illustrate our framework, we apply it to two synthetic models of animal motion and to real zebrafish tracking data. ","lang":"eng"}],"external_id":{"isi":["000426896800032"]},"scopus_import":"1"},{"ec_funded":1,"date_created":"2018-12-11T11:46:35Z","publisher":"Springer Nature","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","title":"Phage-host population dynamics promotes prophage acquisition in bacteria with innate immunity","quality_controlled":"1","oa_version":"None","issue":"2","abstract":[{"lang":"eng","text":"Temperate bacteriophages integrate in bacterial genomes as prophages and represent an important source of genetic variation for bacterial evolution, frequently transmitting fitness-augmenting genes such as toxins responsible for virulence of major pathogens. However, only a fraction of bacteriophage infections are lysogenic and lead to prophage acquisition, whereas the majority are lytic and kill the infected bacteria. Unless able to discriminate lytic from lysogenic infections, mechanisms of immunity to bacteriophages are expected to act as a double-edged sword and increase the odds of survival at the cost of depriving bacteria of potentially beneficial prophages. We show that although restriction-modification systems as mechanisms of innate immunity prevent both lytic and lysogenic infections indiscriminately in individual bacteria, they increase the number of prophage-acquiring individuals at the population level. We find that this counterintuitive result is a consequence of phage-host population dynamics, in which restriction-modification systems delay infection onset until bacteria reach densities at which the probability of lysogeny increases. These results underscore the importance of population-level dynamics as a key factor modulating costs and benefits of immunity to temperate bacteriophages"}],"page":"359 - 366","project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"},{"name":"Multi-Level Conflicts in Evolutionary Dynamics of Restriction-Modification Systems (HFSP Young investigators' grant)","_id":"251BCBEC-B435-11E9-9278-68D0E5697425","grant_number":"RGY0079/2011"},{"grant_number":"24210","_id":"251D65D8-B435-11E9-9278-68D0E5697425","name":"Effects of Stochasticity on the Function of Restriction-Modi cation Systems at the Single-Cell Level (DOC Fellowship)"}],"article_processing_charge":"No","scopus_import":"1","external_id":{"isi":["000426516400027"]},"publist_id":"7364","author":[{"last_name":"Pleska","id":"4569785E-F248-11E8-B48F-1D18A9856A87","first_name":"Maros","orcid":"0000-0001-7460-7479","full_name":"Pleska, Maros"},{"last_name":"Lang","first_name":"Moritz","id":"29E0800A-F248-11E8-B48F-1D18A9856A87","full_name":"Lang, Moritz"},{"last_name":"Refardt","first_name":"Dominik","full_name":"Refardt, Dominik"},{"first_name":"Bruce","last_name":"Levin","full_name":"Levin, Bruce"},{"id":"47F8433E-F248-11E8-B48F-1D18A9856A87","first_name":"Calin C","last_name":"Guet","full_name":"Guet, Calin C","orcid":"0000-0001-6220-2052"}],"doi":"10.1038/s41559-017-0424-z","publication":"Nature Ecology and Evolution","language":[{"iso":"eng"}],"intvolume":" 2","status":"public","volume":2,"type":"journal_article","publication_status":"published","citation":{"ieee":"M. Pleska, M. Lang, D. Refardt, B. Levin, and C. C. Guet, “Phage-host population dynamics promotes prophage acquisition in bacteria with innate immunity,” Nature Ecology and Evolution, vol. 2, no. 2. Springer Nature, pp. 359–366, 2018.","short":"M. Pleska, M. Lang, D. Refardt, B. Levin, C.C. Guet, Nature Ecology and Evolution 2 (2018) 359–366.","apa":"Pleska, M., Lang, M., Refardt, D., Levin, B., & Guet, C. C. (2018). Phage-host population dynamics promotes prophage acquisition in bacteria with innate immunity. Nature Ecology and Evolution. Springer Nature. https://doi.org/10.1038/s41559-017-0424-z","ama":"Pleska M, Lang M, Refardt D, Levin B, Guet CC. Phage-host population dynamics promotes prophage acquisition in bacteria with innate immunity. Nature Ecology and Evolution. 2018;2(2):359-366. doi:10.1038/s41559-017-0424-z","ista":"Pleska M, Lang M, Refardt D, Levin B, Guet CC. 2018. Phage-host population dynamics promotes prophage acquisition in bacteria with innate immunity. Nature Ecology and Evolution. 2(2), 359–366.","chicago":"Pleska, Maros, Moritz Lang, Dominik Refardt, Bruce Levin, and Calin C Guet. “Phage-Host Population Dynamics Promotes Prophage Acquisition in Bacteria with Innate Immunity.” Nature Ecology and Evolution. Springer Nature, 2018. https://doi.org/10.1038/s41559-017-0424-z.","mla":"Pleska, Maros, et al. “Phage-Host Population Dynamics Promotes Prophage Acquisition in Bacteria with Innate Immunity.” Nature Ecology and Evolution, vol. 2, no. 2, Springer Nature, 2018, pp. 359–66, doi:10.1038/s41559-017-0424-z."},"month":"02","date_published":"2018-02-01T00:00:00Z","_id":"457","isi":1,"department":[{"_id":"CaGu"},{"_id":"GaTk"}],"day":"01","related_material":{"record":[{"id":"202","relation":"dissertation_contains","status":"public"}]},"year":"2018","date_updated":"2023-09-15T12:04:57Z"},{"_id":"55","isi":1,"department":[{"_id":"SyCr"}],"month":"10","date_published":"2018-10-08T00:00:00Z","date_updated":"2023-09-15T12:06:46Z","year":"2018","day":"08","language":[{"iso":"eng"}],"intvolume":" 28","doi":"10.1016/j.cub.2018.08.063","publication":"Current Biology","author":[{"last_name":"Pull","id":"3C7F4840-F248-11E8-B48F-1D18A9856A87","first_name":"Christopher","orcid":"0000-0003-1122-3982","full_name":"Pull, Christopher"},{"id":"48204546-F248-11E8-B48F-1D18A9856A87","first_name":"Sina","last_name":"Metzler","full_name":"Metzler, Sina","orcid":"0000-0002-9547-2494"},{"full_name":"Naderlinger, Elisabeth","first_name":"Elisabeth","id":"31757262-F248-11E8-B48F-1D18A9856A87","last_name":"Naderlinger"},{"full_name":"Cremer, Sylvia","orcid":"0000-0002-2193-3868","first_name":"Sylvia","id":"2F64EC8C-F248-11E8-B48F-1D18A9856A87","last_name":"Cremer"}],"publist_id":"7999","citation":{"short":"C. Pull, S. Metzler, E. Naderlinger, S. Cremer, Current Biology 28 (2018) R1139–R1140.","apa":"Pull, C., Metzler, S., Naderlinger, E., & Cremer, S. (2018). Protection against the lethal side effects of social immunity in ants. Current Biology. Cell Press. https://doi.org/10.1016/j.cub.2018.08.063","ieee":"C. Pull, S. Metzler, E. Naderlinger, and S. Cremer, “Protection against the lethal side effects of social immunity in ants,” Current Biology, vol. 28, no. 19. Cell Press, pp. R1139–R1140, 2018.","chicago":"Pull, Christopher, Sina Metzler, Elisabeth Naderlinger, and Sylvia Cremer. “Protection against the Lethal Side Effects of Social Immunity in Ants.” Current Biology. Cell Press, 2018. https://doi.org/10.1016/j.cub.2018.08.063.","mla":"Pull, Christopher, et al. “Protection against the Lethal Side Effects of Social Immunity in Ants.” Current Biology, vol. 28, no. 19, Cell Press, 2018, pp. R1139–40, doi:10.1016/j.cub.2018.08.063.","ama":"Pull C, Metzler S, Naderlinger E, Cremer S. Protection against the lethal side effects of social immunity in ants. Current Biology. 2018;28(19):R1139-R1140. doi:10.1016/j.cub.2018.08.063","ista":"Pull C, Metzler S, Naderlinger E, Cremer S. 2018. Protection against the lethal side effects of social immunity in ants. Current Biology. 28(19), R1139–R1140."},"publication_status":"published","status":"public","type":"journal_article","volume":28,"article_processing_charge":"No","abstract":[{"lang":"eng","text":"Many animals use antimicrobials to prevent or cure disease [1,2]. For example, some animals will ingest plants with medicinal properties, both prophylactically to prevent infection and therapeutically to self-medicate when sick. Antimicrobial substances are also used as topical disinfectants, to prevent infection, protect offspring and to sanitise their surroundings [1,2]. Social insects (ants, bees, wasps and termites) build nests in environments with a high abundance and diversity of pathogenic microorganisms — such as soil and rotting wood — and colonies are often densely crowded, creating conditions that favour disease outbreaks. Consequently, social insects have evolved collective disease defences to protect their colonies from epidemics. These traits can be seen as functionally analogous to the immune system of individual organisms [3,4]. This ‘social immunity’ utilises antimicrobials to prevent and eradicate infections, and to keep the brood and nest clean. However, these antimicrobial compounds can be harmful to the insects themselves, and it is unknown how colonies prevent collateral damage when using them. Here, we demonstrate that antimicrobial acids, produced by workers to disinfect the colony, are harmful to the delicate pupal brood stage, but that the pupae are protected from the acids by the presence of a silk cocoon. Garden ants spray their nests with an antimicrobial poison to sanitize contaminated nestmates and brood. Here, Pull et al show that they also prophylactically sanitise their colonies, and that the silk cocoon serves as a barrier to protect developing pupae, thus preventing collateral damage during nest sanitation."}],"page":"R1139 - R1140","external_id":{"isi":["000446693400008"]},"scopus_import":"1","oa":1,"article_type":"original","date_created":"2018-12-11T11:44:23Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1016/j.cub.2018.08.063"}],"issue":"19","oa_version":"Published Version","quality_controlled":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publisher":"Cell Press","title":"Protection against the lethal side effects of social immunity in ants"},{"page":"3271 - 3290","abstract":[{"text":"We consider large random matrices X with centered, independent entries but possibly di erent variances. We compute the normalized trace of f(X)g(X∗) for f, g functions analytic on the spectrum of X. We use these results to compute the long time asymptotics for systems of coupled di erential equations with random coe cients. We show that when the coupling is critical, the norm squared of the solution decays like t−1/2.","lang":"eng"}],"article_processing_charge":"No","project":[{"call_identifier":"FP7","name":"Random matrices, universality and disordered quantum systems","grant_number":"338804","_id":"258DCDE6-B435-11E9-9278-68D0E5697425"},{"grant_number":"M02080","_id":"258F40A4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Structured Non-Hermitian Random Matrices"}],"external_id":{"arxiv":["1708.01546"],"isi":["000437018500032"]},"scopus_import":"1","oa":1,"date_created":"2018-12-11T11:45:03Z","ec_funded":1,"issue":"3","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1708.01546"}],"title":"Power law decay for systems of randomly coupled differential equations","publisher":"Society for Industrial and Applied Mathematics ","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Published Version","quality_controlled":"1","isi":1,"department":[{"_id":"LaEr"}],"_id":"181","date_published":"2018-01-01T00:00:00Z","month":"01","year":"2018","date_updated":"2023-09-15T12:05:52Z","day":"01","publication":"SIAM Journal on Mathematical Analysis","acknowledgement":"The work of the second author was also partially supported by the Hausdorff Center of Mathematics.","doi":"10.1137/17M1143125","intvolume":" 50","language":[{"iso":"eng"}],"publist_id":"7740","author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös","full_name":"Erdös, László","orcid":"0000-0001-5366-9603"},{"orcid":"0000-0002-4821-3297","full_name":"Krüger, Torben H","last_name":"Krüger","first_name":"Torben H","id":"3020C786-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Renfrew, David T","orcid":"0000-0003-3493-121X","id":"4845BF6A-F248-11E8-B48F-1D18A9856A87","first_name":"David T","last_name":"Renfrew"}],"citation":{"mla":"Erdös, László, et al. “Power Law Decay for Systems of Randomly Coupled Differential Equations.” SIAM Journal on Mathematical Analysis, vol. 50, no. 3, Society for Industrial and Applied Mathematics , 2018, pp. 3271–90, doi:10.1137/17M1143125.","chicago":"Erdös, László, Torben H Krüger, and David T Renfrew. “Power Law Decay for Systems of Randomly Coupled Differential Equations.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics , 2018. https://doi.org/10.1137/17M1143125.","ista":"Erdös L, Krüger TH, Renfrew DT. 2018. Power law decay for systems of randomly coupled differential equations. SIAM Journal on Mathematical Analysis. 50(3), 3271–3290.","ama":"Erdös L, Krüger TH, Renfrew DT. Power law decay for systems of randomly coupled differential equations. SIAM Journal on Mathematical Analysis. 2018;50(3):3271-3290. doi:10.1137/17M1143125","short":"L. Erdös, T.H. Krüger, D.T. Renfrew, SIAM Journal on Mathematical Analysis 50 (2018) 3271–3290.","apa":"Erdös, L., Krüger, T. H., & Renfrew, D. T. (2018). Power law decay for systems of randomly coupled differential equations. SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics . https://doi.org/10.1137/17M1143125","ieee":"L. Erdös, T. H. Krüger, and D. T. Renfrew, “Power law decay for systems of randomly coupled differential equations,” SIAM Journal on Mathematical Analysis, vol. 50, no. 3. Society for Industrial and Applied Mathematics , pp. 3271–3290, 2018."},"type":"journal_article","volume":50,"status":"public","publication_status":"published"}]