[{"publication_identifier":{"issn":["1432-4350"],"eissn":["1433-0490"]},"status":"public","article_processing_charge":"No","related_material":{"record":[{"relation":"earlier_version","status":"public","id":"11837"}]},"day":"01","date_created":"2022-08-17T11:14:12Z","author":[{"full_name":"Bhattacharya, Sayan","first_name":"Sayan","last_name":"Bhattacharya"},{"full_name":"Dvořák, Wolfgang","first_name":"Wolfgang","last_name":"Dvořák"},{"full_name":"Henzinger, Monika H","orcid":"0000-0002-5008-6530","first_name":"Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","last_name":"Henzinger"},{"full_name":"Starnberger, Martin","first_name":"Martin","last_name":"Starnberger"}],"publisher":"Springer Nature","article_type":"original","language":[{"iso":"eng"}],"type":"journal_article","intvolume":"        61","citation":{"short":"S. Bhattacharya, W. Dvořák, M. Henzinger, M. Starnberger, Theory of Computing Systems 61 (2017) 948–986.","mla":"Bhattacharya, Sayan, et al. “Welfare Maximization with Friends-of-Friends Network Externalities.” <i>Theory of Computing Systems</i>, vol. 61, no. 4, Springer Nature, 2017, pp. 948–86, doi:<a href=\"https://doi.org/10.1007/s00224-017-9759-8\">10.1007/s00224-017-9759-8</a>.","chicago":"Bhattacharya, Sayan, Wolfgang Dvořák, Monika Henzinger, and Martin Starnberger. “Welfare Maximization with Friends-of-Friends Network Externalities.” <i>Theory of Computing Systems</i>. Springer Nature, 2017. <a href=\"https://doi.org/10.1007/s00224-017-9759-8\">https://doi.org/10.1007/s00224-017-9759-8</a>.","apa":"Bhattacharya, S., Dvořák, W., Henzinger, M., &#38; Starnberger, M. (2017). Welfare maximization with friends-of-friends network externalities. <i>Theory of Computing Systems</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00224-017-9759-8\">https://doi.org/10.1007/s00224-017-9759-8</a>","ieee":"S. Bhattacharya, W. Dvořák, M. Henzinger, and M. Starnberger, “Welfare maximization with friends-of-friends network externalities,” <i>Theory of Computing Systems</i>, vol. 61, no. 4. Springer Nature, pp. 948–986, 2017.","ama":"Bhattacharya S, Dvořák W, Henzinger M, Starnberger M. Welfare maximization with friends-of-friends network externalities. <i>Theory of Computing Systems</i>. 2017;61(4):948-986. doi:<a href=\"https://doi.org/10.1007/s00224-017-9759-8\">10.1007/s00224-017-9759-8</a>","ista":"Bhattacharya S, Dvořák W, Henzinger M, Starnberger M. 2017. Welfare maximization with friends-of-friends network externalities. Theory of Computing Systems. 61(4), 948–986."},"date_updated":"2024-11-06T12:24:23Z","date_published":"2017-11-01T00:00:00Z","quality_controlled":"1","publication":"Theory of Computing Systems","extern":"1","volume":61,"title":"Welfare maximization with friends-of-friends network externalities","year":"2017","oa_version":"Published Version","oa":1,"month":"11","main_file_link":[{"url":"https://doi.org/10.1007/s00224-017-9759-8","open_access":"1"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"text":"Online social networks allow the collection of large amounts of data about the influence between users connected by a friendship-like relationship. When distributing items among agents forming a social network, this information allows us to exploit network externalities that each agent receives from his neighbors that get the same item. In this paper we consider Friends-of-Friends (2-hop) network externalities, i.e., externalities that not only depend on the neighbors that get the same item but also on neighbors of neighbors. For these externalities we study a setting where multiple different items are assigned to unit-demand agents. Specifically, we study the problem of welfare maximization under different types of externality functions. Let n be the number of agents and m be the number of items. Our contributions are the following: (1) We show that welfare maximization is APX-hard; we show that even for step functions with 2-hop (and also with 1-hop) externalities it is NP-hard to approximate social welfare better than (1−1/e). (2) On the positive side we present (i) an 𝑂(𝑛√)-approximation algorithm for general concave externality functions, (ii) an O(log m)-approximation algorithm for linear externality functions, and (iii) a 518(1−1/𝑒)-approximation algorithm for 2-hop step function externalities. We also improve the result from [7] for 1-hop step function externalities by giving a 12(1−1/𝑒)-approximation algorithm.","lang":"eng"}],"doi":"10.1007/s00224-017-9759-8","scopus_import":"1","publication_status":"published","page":"948-986","_id":"11903","issue":"4"},{"citation":{"ama":"Kollár R, Novak S. Existence of traveling waves for the generalized F–KPP equation. <i>Bulletin of Mathematical Biology</i>. 2017;79(3):525-559. doi:<a href=\"https://doi.org/10.1007/s11538-016-0244-3\">10.1007/s11538-016-0244-3</a>","ista":"Kollár R, Novak S. 2017. Existence of traveling waves for the generalized F–KPP equation. Bulletin of Mathematical Biology. 79(3), 525–559.","ieee":"R. Kollár and S. Novak, “Existence of traveling waves for the generalized F–KPP equation,” <i>Bulletin of Mathematical Biology</i>, vol. 79, no. 3. Springer, pp. 525–559, 2017.","mla":"Kollár, Richard, and Sebastian Novak. “Existence of Traveling Waves for the Generalized F–KPP Equation.” <i>Bulletin of Mathematical Biology</i>, vol. 79, no. 3, Springer, 2017, pp. 525–59, doi:<a href=\"https://doi.org/10.1007/s11538-016-0244-3\">10.1007/s11538-016-0244-3</a>.","short":"R. Kollár, S. Novak, Bulletin of Mathematical Biology 79 (2017) 525–559.","chicago":"Kollár, Richard, and Sebastian Novak. “Existence of Traveling Waves for the Generalized F–KPP Equation.” <i>Bulletin of Mathematical Biology</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s11538-016-0244-3\">https://doi.org/10.1007/s11538-016-0244-3</a>.","apa":"Kollár, R., &#38; Novak, S. (2017). Existence of traveling waves for the generalized F–KPP equation. <i>Bulletin of Mathematical Biology</i>. Springer. <a href=\"https://doi.org/10.1007/s11538-016-0244-3\">https://doi.org/10.1007/s11538-016-0244-3</a>"},"date_updated":"2025-09-22T09:44:54Z","date_published":"2017-03-01T00:00:00Z","quality_controlled":"1","publist_id":"6160","language":[{"iso":"eng"}],"project":[{"call_identifier":"FP7","name":"Speed of Adaptation in Population Genetics and Evolutionary Computation","grant_number":"618091","_id":"25B1EC9E-B435-11E9-9278-68D0E5697425"},{"_id":"25B07788-B435-11E9-9278-68D0E5697425","grant_number":"250152","name":"Limits to selection in biology and in evolutionary computation","call_identifier":"FP7"}],"type":"journal_article","intvolume":"        79","author":[{"full_name":"Kollár, Richard","first_name":"Richard","last_name":"Kollár"},{"orcid":"0000-0002-2519-824X","full_name":"Novak, Sebastian","first_name":"Sebastian","id":"461468AE-F248-11E8-B48F-1D18A9856A87","last_name":"Novak"}],"publisher":"Springer","external_id":{"arxiv":["1607.00944"],"isi":["000395156200005"]},"article_processing_charge":"No","status":"public","day":"01","department":[{"_id":"NiBa"}],"date_created":"2018-12-11T11:50:38Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1607.00944"}],"abstract":[{"text":"Variation in genotypes may be responsible for differences in dispersal rates, directional biases, and growth rates of individuals. These traits may favor certain genotypes and enhance their spatiotemporal spreading into areas occupied by the less advantageous genotypes. We study how these factors influence the speed of spreading in the case of two competing genotypes under the assumption that spatial variation of the total population is small compared to the spatial variation of the frequencies of the genotypes in the population. In that case, the dynamics of the frequency of one of the genotypes is approximately described by a generalized Fisher–Kolmogorov–Petrovskii–Piskunov (F–KPP) equation. This generalized F–KPP equation with (nonlinear) frequency-dependent diffusion and advection terms admits traveling wave solutions that characterize the invasion of the dominant genotype. Our existence results generalize the classical theory for traveling waves for the F–KPP with constant coefficients. Moreover, in the particular case of the quadratic (monostable) nonlinear growth–decay rate in the generalized F–KPP we study in detail the influence of the variance in diffusion and mean displacement rates of the two genotypes on the minimal wave propagation speed.","lang":"eng"}],"arxiv":1,"doi":"10.1007/s11538-016-0244-3","scopus_import":"1","publication_status":"published","page":"525-559","issue":"3","_id":"1191","acknowledgement":"We thank Nick Barton, Katarína Bod’ová, and Sr\r\n-\r\ndan Sarikas for constructive feed-\r\nback and support. Furthermore, we would like to express our deep gratitude to the anonymous referees (one\r\nof whom, Jimmy Garnier, agreed to reveal his identity) and the editor Max Souza, for very helpful and\r\ndetailed comments and suggestions that significantly helped us to improve the manuscript. This project has\r\nreceived funding from the European Union’s Seventh Framework Programme for research, technological\r\ndevelopment and demonstration under Grant Agreement 618091 Speed of Adaptation in Population Genet-\r\nics and Evolutionary Computation (SAGE) and the European Research Council (ERC) Grant No. 250152\r\n(SN), from the Scientific Grant Agency of the Slovak Republic under the Grant 1/0459/13 and by the Slovak\r\nResearch and Development Agency under the Contract No. APVV-14-0378 (RK). RK would also like to\r\nthank IST Austria for its hospitality during the work on this project.","month":"03","year":"2017","oa_version":"Preprint","oa":1,"isi":1,"publication":"Bulletin of Mathematical Biology","ec_funded":1,"title":"Existence of traveling waves for the generalized F–KPP equation","volume":79},{"month":"01","_id":"1192","publication_status":"published","page":"307 - 326","doi":"10.1137/1.9781611974782.20","arxiv":1,"abstract":[{"text":"The main result of this paper is a generalization of the classical blossom algorithm for finding perfect matchings. Our algorithm can efficiently solve Boolean CSPs where each variable appears in exactly two constraints (we call it edge CSP) and all constraints are even Δ-matroid relations (represented by lists of tuples). As a consequence of this, we settle the complexity classification of planar Boolean CSPs started by Dvorak and Kupec. Knowing that edge CSP is tractable for even Δ-matroid constraints allows us to extend the tractability result to a larger class of Δ-matroids that includes many classes that were known to be tractable before, namely co-independent, compact, local and binary.","lang":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1602.03124"}],"title":"Even delta-matroids and the complexity of planar Boolean CSPs","ec_funded":1,"isi":1,"oa":1,"oa_version":"Submitted Version","year":"2017","project":[{"_id":"25FBA906-B435-11E9-9278-68D0E5697425","grant_number":"616160","name":"Discrete Optimization in Computer Vision: Theory and Practice","call_identifier":"FP7"}],"type":"conference","language":[{"iso":"eng"}],"quality_controlled":"1","publist_id":"6159","date_published":"2017-01-01T00:00:00Z","conference":{"start_date":"2017-01-16","end_date":"2017-01019","location":"Barcelona, Spain","name":"SODA: Symposium on Discrete Algorithms"},"date_updated":"2025-06-04T08:46:59Z","citation":{"mla":"Kazda, Alexandr, et al. <i>Even Delta-Matroids and the Complexity of Planar Boolean CSPs</i>. SIAM, 2017, pp. 307–26, doi:<a href=\"https://doi.org/10.1137/1.9781611974782.20\">10.1137/1.9781611974782.20</a>.","short":"A. Kazda, V. Kolmogorov, M. Rolinek, in:, SIAM, 2017, pp. 307–326.","chicago":"Kazda, Alexandr, Vladimir Kolmogorov, and Michal Rolinek. “Even Delta-Matroids and the Complexity of Planar Boolean CSPs,” 307–26. SIAM, 2017. <a href=\"https://doi.org/10.1137/1.9781611974782.20\">https://doi.org/10.1137/1.9781611974782.20</a>.","apa":"Kazda, A., Kolmogorov, V., &#38; Rolinek, M. (2017). Even delta-matroids and the complexity of planar Boolean CSPs (pp. 307–326). Presented at the SODA: Symposium on Discrete Algorithms, Barcelona, Spain: SIAM. <a href=\"https://doi.org/10.1137/1.9781611974782.20\">https://doi.org/10.1137/1.9781611974782.20</a>","ieee":"A. Kazda, V. Kolmogorov, and M. Rolinek, “Even delta-matroids and the complexity of planar Boolean CSPs,” presented at the SODA: Symposium on Discrete Algorithms, Barcelona, Spain, 2017, pp. 307–326.","ista":"Kazda A, Kolmogorov V, Rolinek M. 2017. Even delta-matroids and the complexity of planar Boolean CSPs. SODA: Symposium on Discrete Algorithms, 307–326.","ama":"Kazda A, Kolmogorov V, Rolinek M. Even delta-matroids and the complexity of planar Boolean CSPs. In: SIAM; 2017:307-326. doi:<a href=\"https://doi.org/10.1137/1.9781611974782.20\">10.1137/1.9781611974782.20</a>"},"date_created":"2018-12-11T11:50:38Z","department":[{"_id":"VlKo"}],"day":"01","related_material":{"record":[{"id":"6032","relation":"later_version","status":"public"}]},"status":"public","publication_identifier":{"isbn":["978-161197478-2"]},"article_processing_charge":"No","external_id":{"arxiv":["1602.03124"],"isi":["000426965800020"]},"publisher":"SIAM","author":[{"last_name":"Kazda","id":"3B32BAA8-F248-11E8-B48F-1D18A9856A87","first_name":"Alexandr","full_name":"Kazda, Alexandr"},{"id":"3D50B0BA-F248-11E8-B48F-1D18A9856A87","last_name":"Kolmogorov","first_name":"Vladimir","full_name":"Kolmogorov, Vladimir"},{"first_name":"Michal","id":"3CB3BC06-F248-11E8-B48F-1D18A9856A87","last_name":"Rolinek","full_name":"Rolinek, Michal"}]},{"month":"01","alternative_title":["ACM SIGPLAN Notices"],"page":"145 - 160","publication_status":"published","_id":"1194","issue":"1","doi":"10.1145/3009837.3009873","scopus_import":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1611.01063"}],"abstract":[{"lang":"eng","text":"Termination is one of the basic liveness properties, and we study the termination problem for probabilistic programs with real-valued variables. Previous works focused on the qualitative problem that asks whether an input program terminates with probability~1 (almost-sure termination). A powerful approach for this qualitative problem is the notion of ranking supermartingales with respect to a given set of invariants. The quantitative problem (probabilistic termination) asks for bounds on the termination probability. A fundamental and conceptual drawback of the existing approaches to address probabilistic termination is that even though the supermartingales consider the probabilistic behavior of the programs, the invariants are obtained completely ignoring the probabilistic aspect. In this work we address the probabilistic termination problem for linear-arithmetic probabilistic programs with nondeterminism. We define the notion of {\\em stochastic invariants}, which are constraints along with a probability bound that the constraints hold. We introduce a concept of {\\em repulsing supermartingales}. First, we show that repulsing supermartingales can be used to obtain bounds on the probability of the stochastic invariants. Second, we show the effectiveness of repulsing supermartingales in the following three ways: (1)~With a combination of ranking and repulsing supermartingales we can compute lower bounds on the probability of termination; (2)~repulsing supermartingales provide witnesses for refutation of almost-sure termination; and (3)~with a combination of ranking and repulsing supermartingales we can establish persistence properties of probabilistic programs. We also present results on related computational problems and an experimental evaluation of our approach on academic examples. "}],"arxiv":1,"title":"Stochastic invariants for probabilistic termination","volume":52,"ec_funded":1,"isi":1,"oa_version":"Submitted Version","oa":1,"year":"2017","intvolume":"        52","type":"conference","project":[{"name":"Rigorous Systems Engineering","grant_number":"S 11407_N23","_id":"25832EC2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"25F5A88A-B435-11E9-9278-68D0E5697425","grant_number":"S11402-N23","name":"Moderne Concurrency Paradigms","call_identifier":"FWF"},{"call_identifier":"FP7","grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications"},{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"}],"language":[{"iso":"eng"}],"quality_controlled":"1","publist_id":"6157","date_published":"2017-01-01T00:00:00Z","citation":{"apa":"Chatterjee, K., Novotný, P., &#38; Zikelic, D. (2017). Stochastic invariants for probabilistic termination (Vol. 52, pp. 145–160). Presented at the POPL: Principles of Programming Languages, Paris, France: ACM. <a href=\"https://doi.org/10.1145/3009837.3009873\">https://doi.org/10.1145/3009837.3009873</a>","chicago":"Chatterjee, Krishnendu, Petr Novotný, and Djordje Zikelic. “Stochastic Invariants for Probabilistic Termination,” 52:145–60. ACM, 2017. <a href=\"https://doi.org/10.1145/3009837.3009873\">https://doi.org/10.1145/3009837.3009873</a>.","mla":"Chatterjee, Krishnendu, et al. <i>Stochastic Invariants for Probabilistic Termination</i>. Vol. 52, no. 1, ACM, 2017, pp. 145–60, doi:<a href=\"https://doi.org/10.1145/3009837.3009873\">10.1145/3009837.3009873</a>.","short":"K. Chatterjee, P. Novotný, D. Zikelic, in:, ACM, 2017, pp. 145–160.","ista":"Chatterjee K, Novotný P, Zikelic D. 2017. Stochastic invariants for probabilistic termination. POPL: Principles of Programming Languages, ACM SIGPLAN Notices, vol. 52, 145–160.","ieee":"K. Chatterjee, P. Novotný, and D. Zikelic, “Stochastic invariants for probabilistic termination,” presented at the POPL: Principles of Programming Languages, Paris, France, 2017, vol. 52, no. 1, pp. 145–160.","ama":"Chatterjee K, Novotný P, Zikelic D. Stochastic invariants for probabilistic termination. In: Vol 52. ACM; 2017:145-160. doi:<a href=\"https://doi.org/10.1145/3009837.3009873\">10.1145/3009837.3009873</a>"},"conference":{"name":"POPL: Principles of Programming Languages","location":"Paris, France","end_date":"2017-01-21","start_date":"2017-01-15"},"date_updated":"2026-04-07T13:27:56Z","department":[{"_id":"KrCh"}],"date_created":"2018-12-11T11:50:39Z","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"14539"}]},"day":"01","article_processing_charge":"No","publication_identifier":{"issn":["0730-8566"]},"status":"public","publisher":"ACM","external_id":{"arxiv":["1611.01063"],"isi":["000408311200013"]},"author":[{"orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","first_name":"Krishnendu"},{"full_name":"Novotny, Petr","first_name":"Petr","last_name":"Novotny","id":"3CC3B868-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Zikelic, Djordje","first_name":"Djordje","last_name":"Zikelic"}]},{"citation":{"ista":"Henzinger TA, Otop J. 2017. Model measuring for discrete and hybrid systems. Nonlinear Analysis: Hybrid Systems. 23, 166–190.","ieee":"T. A. Henzinger and J. Otop, “Model measuring for discrete and hybrid systems,” <i>Nonlinear Analysis: Hybrid Systems</i>, vol. 23. Elsevier, pp. 166–190, 2017.","ama":"Henzinger TA, Otop J. Model measuring for discrete and hybrid systems. <i>Nonlinear Analysis: Hybrid Systems</i>. 2017;23:166-190. doi:<a href=\"https://doi.org/10.1016/j.nahs.2016.09.001\">10.1016/j.nahs.2016.09.001</a>","short":"T.A. Henzinger, J. Otop, Nonlinear Analysis: Hybrid Systems 23 (2017) 166–190.","mla":"Henzinger, Thomas A., and Jan Otop. “Model Measuring for Discrete and Hybrid Systems.” <i>Nonlinear Analysis: Hybrid Systems</i>, vol. 23, Elsevier, 2017, pp. 166–90, doi:<a href=\"https://doi.org/10.1016/j.nahs.2016.09.001\">10.1016/j.nahs.2016.09.001</a>.","apa":"Henzinger, T. A., &#38; Otop, J. (2017). Model measuring for discrete and hybrid systems. <i>Nonlinear Analysis: Hybrid Systems</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.nahs.2016.09.001\">https://doi.org/10.1016/j.nahs.2016.09.001</a>","chicago":"Henzinger, Thomas A, and Jan Otop. “Model Measuring for Discrete and Hybrid Systems.” <i>Nonlinear Analysis: Hybrid Systems</i>. Elsevier, 2017. <a href=\"https://doi.org/10.1016/j.nahs.2016.09.001\">https://doi.org/10.1016/j.nahs.2016.09.001</a>."},"date_updated":"2025-04-15T06:25:59Z","quality_controlled":"1","publist_id":"6154","date_published":"2017-02-01T00:00:00Z","type":"journal_article","project":[{"_id":"25EE3708-B435-11E9-9278-68D0E5697425","name":"Quantitative Reactive Modeling","grant_number":"267989","call_identifier":"FP7"},{"call_identifier":"FWF","name":"Rigorous Systems Engineering","grant_number":"S 11407_N23","_id":"25832EC2-B435-11E9-9278-68D0E5697425"},{"name":"Formal methods for the design and analysis of complex systems","grant_number":"Z211","_id":"25F42A32-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"language":[{"iso":"eng"}],"intvolume":"        23","publisher":"Elsevier","external_id":{"isi":["000390637000011"]},"author":[{"orcid":"0000−0002−2985−7724","full_name":"Henzinger, Thomas A","first_name":"Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","last_name":"Henzinger"},{"first_name":"Jan","id":"2FC5DA74-F248-11E8-B48F-1D18A9856A87","last_name":"Otop","full_name":"Otop, Jan"}],"day":"01","article_processing_charge":"No","status":"public","department":[{"_id":"ToHe"}],"date_created":"2018-12-11T11:50:39Z","doi":"10.1016/j.nahs.2016.09.001","scopus_import":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","abstract":[{"lang":"eng","text":"We define the . model-measuring problem: given a model . M and specification . ϕ, what is the maximal distance . ρ such that all models . M' within distance . ρ from . M satisfy (or violate) . ϕ. The model-measuring problem presupposes a distance function on models. We concentrate on . automatic distance functions, which are defined by weighted automata. The model-measuring problem subsumes several generalizations of the classical model-checking problem, in particular, quantitative model-checking problems that measure the degree of satisfaction of a specification; robustness problems that measure how much a model can be perturbed without violating the specification; and parameter synthesis for hybrid systems. We show that for automatic distance functions, and (a) . ω-regular linear-time, (b) . ω-regular branching-time, and (c) hybrid specifications, the model-measuring problem can be solved.We use automata-theoretic model-checking methods for model measuring, replacing the emptiness question for word, tree, and hybrid automata by the . optimal-value question for the weighted versions of these automata. For automata over words and trees, we consider weighted automata that accumulate weights by maximizing, summing, discounting, and limit averaging. For hybrid automata, we consider monotonic (parametric) hybrid automata, a hybrid counterpart of (discrete) weighted automata.We give several examples of using the model-measuring problem to compute various notions of robustness and quantitative satisfaction for temporal specifications. Further, we propose the modeling framework for model measuring to ease the specification and reduce the likelihood of errors in modeling.Finally, we present a variant of the model-measuring problem, called the . model-repair problem. The model-repair problem applies to models that do not satisfy the specification; it can be used to derive restrictions, under which the model satisfies the specification, i.e., to repair the model."}],"page":"166 - 190","publication_status":"published","_id":"1196","acknowledgement":"This research was supported in part by the European Research Council (ERC) under grant 267989 (QUAREM), by the Austrian Science Fund1 (FWF) under grants S11402-N23 (RiSE) and Z211-N23 (Wittgenstein Award), and by the National Science Centre (NCN), Poland under grant 2014/15/D/ST6/04543.\r\nA Technical Report of this article is available via: https://repository.ist.ac.at/171/","month":"02","year":"2017","isi":1,"oa_version":"None","publication":"Nonlinear Analysis: Hybrid Systems","volume":23,"title":"Model measuring for discrete and hybrid systems","ec_funded":1},{"date_published":"2017-06-01T00:00:00Z","quality_controlled":"1","citation":{"ieee":"M. B. Plutschack, B. Pieber, K. Gilmore, and P. H. Seeberger, “The Hitchhiker’s Guide to flow chemistry,” <i>Chemical Reviews</i>, vol. 117, no. 18. American Chemical Society, pp. 11796–11893, 2017.","ama":"Plutschack MB, Pieber B, Gilmore K, Seeberger PH. The Hitchhiker’s Guide to flow chemistry. <i>Chemical Reviews</i>. 2017;117(18):11796-11893. doi:<a href=\"https://doi.org/10.1021/acs.chemrev.7b00183\">10.1021/acs.chemrev.7b00183</a>","ista":"Plutschack MB, Pieber B, Gilmore K, Seeberger PH. 2017. The Hitchhiker’s Guide to flow chemistry. Chemical Reviews. 117(18), 11796–11893.","chicago":"Plutschack, Matthew B., Bartholomäus Pieber, Kerry Gilmore, and Peter H. Seeberger. “The Hitchhiker’s Guide to Flow Chemistry.” <i>Chemical Reviews</i>. American Chemical Society, 2017. <a href=\"https://doi.org/10.1021/acs.chemrev.7b00183\">https://doi.org/10.1021/acs.chemrev.7b00183</a>.","apa":"Plutschack, M. B., Pieber, B., Gilmore, K., &#38; Seeberger, P. H. (2017). The Hitchhiker’s Guide to flow chemistry. <i>Chemical Reviews</i>. American Chemical Society. <a href=\"https://doi.org/10.1021/acs.chemrev.7b00183\">https://doi.org/10.1021/acs.chemrev.7b00183</a>","short":"M.B. Plutschack, B. Pieber, K. Gilmore, P.H. Seeberger, Chemical Reviews 117 (2017) 11796–11893.","mla":"Plutschack, Matthew B., et al. “The Hitchhiker’s Guide to Flow Chemistry.” <i>Chemical Reviews</i>, vol. 117, no. 18, American Chemical Society, 2017, pp. 11796–893, doi:<a href=\"https://doi.org/10.1021/acs.chemrev.7b00183\">10.1021/acs.chemrev.7b00183</a>."},"date_updated":"2023-02-21T10:09:28Z","intvolume":"       117","language":[{"iso":"eng"}],"type":"journal_article","author":[{"first_name":"Matthew B.","last_name":"Plutschack","full_name":"Plutschack, Matthew B."},{"orcid":"0000-0001-8689-388X","full_name":"Pieber, Bartholomäus","last_name":"Pieber","id":"93e5e5b2-0da6-11ed-8a41-af589a024726","first_name":"Bartholomäus"},{"first_name":"Kerry","last_name":"Gilmore","full_name":"Gilmore, Kerry"},{"full_name":"Seeberger, Peter H.","first_name":"Peter H.","last_name":"Seeberger"}],"publisher":"American Chemical Society","article_type":"original","external_id":{"pmid":["28570059"]},"date_created":"2022-08-24T11:07:46Z","article_processing_charge":"No","status":"public","publication_identifier":{"eissn":["1520-6890"],"issn":["0009-2665"]},"day":"01","pmid":1,"publication_status":"published","page":"11796-11893","_id":"11961","issue":"18","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"text":"Flow chemistry involves the use of channels or tubing to conduct a reaction in a continuous stream rather than in a flask. Flow equipment provides chemists with unique control over reaction parameters enhancing reactivity or in some cases enabling new reactions. This relatively young technology has received a remarkable amount of attention in the past decade with many reports on what can be done in flow. Until recently, however, the question, “Should we do this in flow?” has merely been an afterthought. This review introduces readers to the basic principles and fundamentals of flow chemistry and critically discusses recent flow chemistry accounts.","lang":"eng"}],"doi":"10.1021/acs.chemrev.7b00183","scopus_import":"1","month":"06","oa_version":"None","year":"2017","title":"The Hitchhiker’s Guide to flow chemistry","volume":117,"publication":"Chemical Reviews","extern":"1"},{"publisher":"AKJournals","article_type":"original","author":[{"id":"93e5e5b2-0da6-11ed-8a41-af589a024726","last_name":"Pieber","first_name":"Bartholomäus","orcid":"0000-0001-8689-388X","full_name":"Pieber, Bartholomäus"},{"last_name":"Gilmore","first_name":"Kerry","full_name":"Gilmore, Kerry"},{"first_name":"Peter H.","last_name":"Seeberger","full_name":"Seeberger, Peter H."}],"date_created":"2022-08-25T10:47:51Z","day":"01","status":"public","publication_identifier":{"eissn":["2063-0212"],"issn":["2062-249X"]},"article_processing_charge":"No","quality_controlled":"1","date_published":"2017-09-01T00:00:00Z","date_updated":"2023-02-21T10:10:02Z","citation":{"ieee":"B. Pieber, K. Gilmore, and P. H. Seeberger, “Integrated flow processing - challenges in continuous multistep synthesis,” <i>Journal of Flow Chemistry</i>, vol. 7, no. 3–4. AKJournals, pp. 129–136, 2017.","ista":"Pieber B, Gilmore K, Seeberger PH. 2017. Integrated flow processing - challenges in continuous multistep synthesis. Journal of Flow Chemistry. 7(3–4), 129–136.","ama":"Pieber B, Gilmore K, Seeberger PH. Integrated flow processing - challenges in continuous multistep synthesis. <i>Journal of Flow Chemistry</i>. 2017;7(3-4):129-136. doi:<a href=\"https://doi.org/10.1556/1846.2017.00016\">10.1556/1846.2017.00016</a>","short":"B. Pieber, K. Gilmore, P.H. Seeberger, Journal of Flow Chemistry 7 (2017) 129–136.","mla":"Pieber, Bartholomäus, et al. “Integrated Flow Processing - Challenges in Continuous Multistep Synthesis.” <i>Journal of Flow Chemistry</i>, vol. 7, no. 3–4, AKJournals, 2017, pp. 129–36, doi:<a href=\"https://doi.org/10.1556/1846.2017.00016\">10.1556/1846.2017.00016</a>.","apa":"Pieber, B., Gilmore, K., &#38; Seeberger, P. H. (2017). Integrated flow processing - challenges in continuous multistep synthesis. <i>Journal of Flow Chemistry</i>. AKJournals. <a href=\"https://doi.org/10.1556/1846.2017.00016\">https://doi.org/10.1556/1846.2017.00016</a>","chicago":"Pieber, Bartholomäus, Kerry Gilmore, and Peter H. Seeberger. “Integrated Flow Processing - Challenges in Continuous Multistep Synthesis.” <i>Journal of Flow Chemistry</i>. AKJournals, 2017. <a href=\"https://doi.org/10.1556/1846.2017.00016\">https://doi.org/10.1556/1846.2017.00016</a>."},"intvolume":"         7","type":"journal_article","language":[{"iso":"eng"}],"oa_version":"Published Version","oa":1,"year":"2017","volume":7,"title":"Integrated flow processing - challenges in continuous multistep synthesis","extern":"1","publication":"Journal of Flow Chemistry","_id":"11976","issue":"3-4","publication_status":"published","page":"129-136","scopus_import":"1","doi":"10.1556/1846.2017.00016","abstract":[{"lang":"eng","text":"The way organic multistep synthesis is performed is changing due to the adoption of flow chemical techniques, which has enabled the development of improved methods to make complex molecules. The modular nature of the technique provides not only access to target molecules via linear flow approaches but also for the targeting of structural cores with single systems. This perspective article summarizes the state of the art of continuous multistep synthesis and discusses the main challenges and opportunities in this area."}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1556/1846.2017.00016"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"09"},{"external_id":{"isi":["000394280200007"]},"publisher":"Springer","author":[{"full_name":"Moser, Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser","first_name":"Thomas"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"day":"01","related_material":{"record":[{"id":"52","status":"public","relation":"dissertation_contains"}]},"article_processing_charge":"Yes (via OA deal)","publication_identifier":{"issn":["0377-9017"]},"status":"public","date_created":"2018-12-11T11:50:40Z","department":[{"_id":"RoSe"}],"date_updated":"2026-04-16T10:06:46Z","citation":{"ieee":"T. Moser and R. Seiringer, “Triviality of a model of particles with point interactions in the thermodynamic limit,” <i>Letters in Mathematical Physics</i>, vol. 107, no. 3. Springer, pp. 533–552, 2017.","ista":"Moser T, Seiringer R. 2017. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3), 533–552.","ama":"Moser T, Seiringer R. Triviality of a model of particles with point interactions in the thermodynamic limit. <i>Letters in Mathematical Physics</i>. 2017;107(3):533-552. doi:<a href=\"https://doi.org/10.1007/s11005-016-0915-x\">10.1007/s11005-016-0915-x</a>","short":"T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.","mla":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” <i>Letters in Mathematical Physics</i>, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:<a href=\"https://doi.org/10.1007/s11005-016-0915-x\">10.1007/s11005-016-0915-x</a>.","apa":"Moser, T., &#38; Seiringer, R. (2017). Triviality of a model of particles with point interactions in the thermodynamic limit. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-016-0915-x\">https://doi.org/10.1007/s11005-016-0915-x</a>","chicago":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” <i>Letters in Mathematical Physics</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s11005-016-0915-x\">https://doi.org/10.1007/s11005-016-0915-x</a>."},"pubrep_id":"723","quality_controlled":"1","publist_id":"6152","file_date_updated":"2020-07-14T12:44:38Z","date_published":"2017-03-01T00:00:00Z","type":"journal_article","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"language":[{"iso":"eng"}],"intvolume":"       107","ddc":["510","539"],"year":"2017","has_accepted_license":"1","file":[{"date_updated":"2020-07-14T12:44:38Z","relation":"main_file","file_id":"5296","creator":"system","content_type":"application/pdf","access_level":"open_access","file_size":587207,"date_created":"2018-12-12T10:17:40Z","checksum":"c0c835def162c1bc52f978fad26e3c2f","file_name":"IST-2016-723-v1+1_s11005-016-0915-x.pdf"}],"isi":1,"oa":1,"oa_version":"Published Version","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publication":"Letters in Mathematical Physics","volume":107,"title":"Triviality of a model of particles with point interactions in the thermodynamic limit","scopus_import":"1","doi":"10.1007/s11005-016-0915-x","abstract":[{"lang":"eng","text":"We consider a model of fermions interacting via point interactions, defined via a certain weighted Dirichlet form. While for two particles the interaction corresponds to infinite scattering length, the presence of further particles effectively decreases the interaction strength. We show that the model becomes trivial in the thermodynamic limit, in the sense that the free energy density at any given particle density and temperature agrees with the corresponding expression for non-interacting particles."}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","_id":"1198","issue":"3","publication_status":"published","license":"https://creativecommons.org/licenses/by/4.0/","page":" 533 - 552","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","month":"03"},{"month":"01","page":"96 - 109","publication_status":"published","_id":"1199","doi":"10.1038/hdy.2016.109","scopus_import":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","main_file_link":[{"open_access":"1","url":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5176114/"}],"abstract":[{"text":"Much of quantitative genetics is based on the ‘infinitesimal model’, under which selection has a negligible effect on the genetic variance. This is typically justified by assuming a very large number of loci with additive effects. However, it applies even when genes interact, provided that the number of loci is large enough that selection on each of them is weak relative to random drift. In the long term, directional selection will change allele frequencies, but even then, the effects of epistasis on the ultimate change in trait mean due to selection may be modest. Stabilising selection can maintain many traits close to their optima, even when the underlying alleles are weakly selected. However, the number of traits that can be optimised is apparently limited to ~4Ne by the ‘drift load’, and this is hard to reconcile with the apparent complexity of many organisms. Just as for the mutation load, this limit can be evaded by a particular form of negative epistasis. A more robust limit is set by the variance in reproductive success. This suggests that selection accumulates information most efficiently in the infinitesimal regime, when selection on individual alleles is weak, and comparable with random drift. A review of evidence on selection strength suggests that although most variance in fitness may be because of alleles with large Nes, substantial amounts of adaptation may be because of alleles in the infinitesimal regime, in which epistasis has modest effects.","lang":"eng"}],"volume":118,"title":"How does epistasis influence the response to selection?","ec_funded":1,"publication":"Heredity","isi":1,"oa_version":"Submitted Version","oa":1,"year":"2017","intvolume":"       118","type":"journal_article","project":[{"call_identifier":"FP7","name":"Limits to selection in biology and in evolutionary computation","grant_number":"250152","_id":"25B07788-B435-11E9-9278-68D0E5697425"}],"language":[{"iso":"eng"}],"quality_controlled":"1","publist_id":"6151","date_published":"2017-01-01T00:00:00Z","citation":{"short":"N.H. Barton, Heredity 118 (2017) 96–109.","mla":"Barton, Nicholas H. “How Does Epistasis Influence the Response to Selection?” <i>Heredity</i>, vol. 118, Nature Publishing Group, 2017, pp. 96–109, doi:<a href=\"https://doi.org/10.1038/hdy.2016.109\">10.1038/hdy.2016.109</a>.","apa":"Barton, N. H. (2017). How does epistasis influence the response to selection? <i>Heredity</i>. Nature Publishing Group. <a href=\"https://doi.org/10.1038/hdy.2016.109\">https://doi.org/10.1038/hdy.2016.109</a>","chicago":"Barton, Nicholas H. “How Does Epistasis Influence the Response to Selection?” <i>Heredity</i>. Nature Publishing Group, 2017. <a href=\"https://doi.org/10.1038/hdy.2016.109\">https://doi.org/10.1038/hdy.2016.109</a>.","ama":"Barton NH. How does epistasis influence the response to selection? <i>Heredity</i>. 2017;118:96-109. doi:<a href=\"https://doi.org/10.1038/hdy.2016.109\">10.1038/hdy.2016.109</a>","ista":"Barton NH. 2017. How does epistasis influence the response to selection? Heredity. 118, 96–109.","ieee":"N. H. Barton, “How does epistasis influence the response to selection?,” <i>Heredity</i>, vol. 118. 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Schnelli, Communications in Mathematical Physics 349 (2017) 947–990.","chicago":"Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Law of Addition of Random Matrices on Optimal Scale.” <i>Communications in Mathematical Physics</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s00220-016-2805-6\">https://doi.org/10.1007/s00220-016-2805-6</a>.","apa":"Bao, Z., Erdös, L., &#38; Schnelli, K. (2017). Local law of addition of random matrices on optimal scale. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-016-2805-6\">https://doi.org/10.1007/s00220-016-2805-6</a>","ama":"Bao Z, Erdös L, Schnelli K. Local law of addition of random matrices on optimal scale. <i>Communications in Mathematical Physics</i>. 2017;349(3):947-990. doi:<a href=\"https://doi.org/10.1007/s00220-016-2805-6\">10.1007/s00220-016-2805-6</a>","ista":"Bao Z, Erdös L, Schnelli K. 2017. Local law of addition of random matrices on optimal scale. 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We prove that this convergence also holds locally in the bulk of the spectrum, down to the optimal scales larger than the eigenvalue spacing. The corresponding eigenvectors are fully delocalized. Similar results hold for the sum of two real symmetric matrices, when one is conjugated by Haar orthogonal matrix.","lang":"eng"}],"month":"02","isi":1,"file":[{"date_created":"2018-12-12T10:14:47Z","file_name":"IST-2016-722-v1+1_s00220-016-2805-6.pdf","checksum":"ddff79154c3daf27237de5383b1264a9","file_size":1033743,"access_level":"open_access","file_id":"5102","creator":"system","content_type":"application/pdf","date_updated":"2020-07-14T12:44:39Z","relation":"main_file"}],"oa_version":"Published Version","oa":1,"ddc":["530"],"year":"2017","has_accepted_license":"1","volume":349,"title":"Local law of addition of random matrices on optimal scale","ec_funded":1,"publication":"Communications in Mathematical Physics","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"}},{"publication":"Journal of the Royal Statistical Society. 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Remarkably, our numerical simulations indicate that our results remain valid for p as small as 2. An important consequence of this analysis is that, for sample sizes n≃14p, maximum likelihood estimation for linear Gaussian covariance models behaves as if it were a convex optimization problem. © 2016 The Royal Statistical Society and Blackwell Publishing Ltd.","lang":"eng"}],"arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1408.5604"}],"_id":"1208","issue":"4","page":"1269 - 1292","publication_status":"published","day":"01","status":"public","publication_identifier":{"issn":["1369-7412"]},"article_processing_charge":"No","date_created":"2018-12-11T11:50:43Z","department":[{"_id":"CaUh"}],"corr_author":"1","external_id":{"arxiv":["1408.5604"],"isi":["000411712300012"]},"publisher":"Wiley-Blackwell","author":[{"full_name":"Zwiernik, Piotr","last_name":"Zwiernik","first_name":"Piotr"},{"first_name":"Caroline","last_name":"Uhler","id":"49ADD78E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-7008-0216","full_name":"Uhler, Caroline"},{"first_name":"Donald","last_name":"Richards","full_name":"Richards, Donald"}],"type":"journal_article","project":[{"call_identifier":"FWF","name":"Gaussian Graphical Models: Theory and Applications","grant_number":"Y 903-N35","_id":"2530CA10-B435-11E9-9278-68D0E5697425"}],"language":[{"iso":"eng"}],"intvolume":"        79","date_updated":"2025-06-04T09:41:22Z","citation":{"ama":"Zwiernik P, Uhler C, Richards D. Maximum likelihood estimation for linear Gaussian covariance models. <i>Journal of the Royal Statistical Society Series B: Statistical Methodology</i>. 2017;79(4):1269-1292. doi:<a href=\"https://doi.org/10.1111/rssb.12217\">10.1111/rssb.12217</a>","ista":"Zwiernik P, Uhler C, Richards D. 2017. Maximum likelihood estimation for linear Gaussian covariance models. Journal of the Royal Statistical Society. Series B: Statistical Methodology. 79(4), 1269–1292.","ieee":"P. Zwiernik, C. Uhler, and D. Richards, “Maximum likelihood estimation for linear Gaussian covariance models,” <i>Journal of the Royal Statistical Society. Series B: Statistical Methodology</i>, vol. 79, no. 4. Wiley-Blackwell, pp. 1269–1292, 2017.","short":"P. Zwiernik, C. Uhler, D. Richards, Journal of the Royal Statistical Society. 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Wiley-Blackwell. <a href=\"https://doi.org/10.1111/rssb.12217\">https://doi.org/10.1111/rssb.12217</a>"},"quality_controlled":"1","publist_id":"6142","date_published":"2017-09-01T00:00:00Z"},{"day":"01","status":"public","article_processing_charge":"No","department":[{"_id":"BjHo"}],"date_created":"2018-12-11T11:50:44Z","publisher":"Springer","external_id":{"isi":["000400233600014"]},"author":[{"first_name":"Nazmi B","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","last_name":"Budanur","full_name":"Budanur, Nazmi B","orcid":"0000-0003-0423-5010"},{"full_name":"Cvitanović, Predrag","last_name":"Cvitanović","first_name":"Predrag"}],"type":"journal_article","language":[{"iso":"eng"}],"intvolume":"       167","citation":{"ieee":"N. B. Budanur and P. Cvitanović, “Unstable manifolds of relative periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system,” <i>Journal of Statistical Physics</i>, vol. 167, no. 3–4. Springer, pp. 636–655, 2017.","ama":"Budanur NB, Cvitanović P. Unstable manifolds of relative periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system. <i>Journal of Statistical Physics</i>. 2017;167(3-4):636-655. doi:<a href=\"https://doi.org/10.1007/s10955-016-1672-z\">10.1007/s10955-016-1672-z</a>","ista":"Budanur NB, Cvitanović P. 2017. Unstable manifolds of relative periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system. Journal of Statistical Physics. 167(3–4), 636–655.","apa":"Budanur, N. B., &#38; Cvitanović, P. (2017). Unstable manifolds of relative periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-016-1672-z\">https://doi.org/10.1007/s10955-016-1672-z</a>","chicago":"Budanur, Nazmi B, and Predrag Cvitanović. “Unstable Manifolds of Relative Periodic Orbits in the Symmetry Reduced State Space of the Kuramoto–Sivashinsky System.” <i>Journal of Statistical Physics</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s10955-016-1672-z\">https://doi.org/10.1007/s10955-016-1672-z</a>.","short":"N.B. Budanur, P. Cvitanović, Journal of Statistical Physics 167 (2017) 636–655.","mla":"Budanur, Nazmi B., and Predrag Cvitanović. “Unstable Manifolds of Relative Periodic Orbits in the Symmetry Reduced State Space of the Kuramoto–Sivashinsky System.” <i>Journal of Statistical Physics</i>, vol. 167, no. 3–4, Springer, 2017, pp. 636–55, doi:<a href=\"https://doi.org/10.1007/s10955-016-1672-z\">10.1007/s10955-016-1672-z</a>."},"date_updated":"2025-09-22T09:36:50Z","pubrep_id":"782","file_date_updated":"2020-07-14T12:44:39Z","publist_id":"6136","quality_controlled":"1","date_published":"2017-05-01T00:00:00Z","publication":"Journal of Statistical Physics","volume":167,"title":"Unstable manifolds of relative periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system","year":"2017","ddc":["530"],"has_accepted_license":"1","isi":1,"file":[{"content_type":"application/pdf","creator":"system","file_id":"5319","relation":"main_file","date_updated":"2020-07-14T12:44:39Z","file_name":"IST-2017-782-v1+1_BudCvi15.pdf","checksum":"3e971d09eb167761aa0888ed415b0056","date_created":"2018-12-12T10:18:01Z","file_size":2820207,"access_level":"open_access"}],"oa_version":"Submitted Version","oa":1,"acknowledgement":"This work was supported by the family of late G. Robinson, Jr. and NSF Grant DMS-1211827. ","month":"05","doi":"10.1007/s10955-016-1672-z","scopus_import":"1","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","abstract":[{"text":"Systems such as fluid flows in channels and pipes or the complex Ginzburg–Landau system, defined over periodic domains, exhibit both continuous symmetries, translational and rotational, as well as discrete symmetries under spatial reflections or complex conjugation. The simplest, and very common symmetry of this type is the equivariance of the defining equations under the orthogonal group O(2). We formulate a novel symmetry reduction scheme for such systems by combining the method of slices with invariant polynomial methods, and show how it works by applying it to the Kuramoto–Sivashinsky system in one spatial dimension. As an example, we track a relative periodic orbit through a sequence of bifurcations to the onset of chaos. Within the symmetry-reduced state space we are able to compute and visualize the unstable manifolds of relative periodic orbits, their torus bifurcations, a transition to chaos via torus breakdown, and heteroclinic connections between various relative periodic orbits. It would be very hard to carry through such analysis in the full state space, without a symmetry reduction such as the one we present here.","lang":"eng"}],"publication_status":"published","page":"636-655","_id":"1211","issue":"3-4"},{"status":"public","article_processing_charge":"No","publication_identifier":{"issn":["0091-679X"]},"day":"01","date_created":"2018-12-11T11:50:45Z","department":[{"_id":"MaLo"}],"author":[{"full_name":"Baranova, Natalia","orcid":"0000-0002-3086-9124","first_name":"Natalia","id":"38661662-F248-11E8-B48F-1D18A9856A87","last_name":"Baranova"},{"full_name":"Loose, Martin","orcid":"0000-0001-7309-9724","first_name":"Martin","last_name":"Loose","id":"462D4284-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"isi":["000403542900022"]},"publisher":"Academic Press","language":[{"iso":"eng"}],"project":[{"grant_number":"ALTF 2015-1163","name":"Synthesis of bacterial cell wall","_id":"2596EAB6-B435-11E9-9278-68D0E5697425"},{"grant_number":"291734","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"type":"book_chapter","intvolume":"       137","editor":[{"full_name":"Echard, Arnaud ","last_name":"Echard","first_name":"Arnaud "}],"date_updated":"2025-07-10T11:50:24Z","citation":{"apa":"Baranova, N. S., &#38; Loose, M. (2017). Single-molecule measurements to study polymerization dynamics of FtsZ-FtsA copolymers. In A. Echard (Ed.), <i>Cytokinesis</i> (Vol. 137, pp. 355–370). Academic Press. <a href=\"https://doi.org/10.1016/bs.mcb.2016.03.036\">https://doi.org/10.1016/bs.mcb.2016.03.036</a>","chicago":"Baranova, Natalia S., and Martin Loose. “Single-Molecule Measurements to Study Polymerization Dynamics of FtsZ-FtsA Copolymers.” In <i>Cytokinesis</i>, edited by Arnaud  Echard, 137:355–70. Academic Press, 2017. <a href=\"https://doi.org/10.1016/bs.mcb.2016.03.036\">https://doi.org/10.1016/bs.mcb.2016.03.036</a>.","mla":"Baranova, Natalia S., and Martin Loose. “Single-Molecule Measurements to Study Polymerization Dynamics of FtsZ-FtsA Copolymers.” <i>Cytokinesis</i>, edited by Arnaud  Echard, vol. 137, Academic Press, 2017, pp. 355–70, doi:<a href=\"https://doi.org/10.1016/bs.mcb.2016.03.036\">10.1016/bs.mcb.2016.03.036</a>.","short":"N.S. Baranova, M. Loose, in:, A. Echard (Ed.), Cytokinesis, Academic Press, 2017, pp. 355–370.","ista":"Baranova NS, Loose M. 2017.Single-molecule measurements to study polymerization dynamics of FtsZ-FtsA copolymers. In: Cytokinesis. Methods in Cell Biology, vol. 137, 355–370.","ama":"Baranova NS, Loose M. Single-molecule measurements to study polymerization dynamics of FtsZ-FtsA copolymers. In: Echard A, ed. <i>Cytokinesis</i>. Vol 137. Academic Press; 2017:355-370. doi:<a href=\"https://doi.org/10.1016/bs.mcb.2016.03.036\">10.1016/bs.mcb.2016.03.036</a>","ieee":"N. S. Baranova and M. Loose, “Single-molecule measurements to study polymerization dynamics of FtsZ-FtsA copolymers,” in <i>Cytokinesis</i>, vol. 137, A. Echard, Ed. Academic Press, 2017, pp. 355–370."},"date_published":"2017-12-01T00:00:00Z","publist_id":"6134","quality_controlled":"1","publication":"Cytokinesis","ec_funded":1,"title":"Single-molecule measurements to study polymerization dynamics of FtsZ-FtsA copolymers","volume":137,"year":"2017","oa_version":"None","isi":1,"alternative_title":["Methods in Cell Biology"],"acknowledgement":"Natalia Baranova is supported by an EMBO Long-Term Fellowship (EMBO ALTF 1163-2015) and Martin Loose by an ERC Starting Grant (ERCStG-2015-SelfOrganiCell).","month":"12","abstract":[{"lang":"eng","text":"Bacterial cytokinesis is commonly initiated by the Z-ring, a dynamic cytoskeletal structure that assembles at the site of division. Its primary component is FtsZ, a tubulin-like GTPase, that like its eukaryotic relative forms protein filaments in the presence of GTP. Since the discovery of the Z-ring 25 years ago, various models for the role of FtsZ have been suggested. However, important information about the architecture and dynamics of FtsZ filaments during cytokinesis is still missing. One reason for this lack of knowledge has been the small size of bacteria, which has made it difficult to resolve the orientation and dynamics of individual FtsZ filaments in the Z-ring. While superresolution microscopy experiments have helped to gain more information about the organization of the Z-ring in the dividing cell, they were not yet able to elucidate a mechanism of how FtsZ filaments reorganize during assembly and disassembly of the Z-ring. In this chapter, we explain how to use an in vitro reconstitution approach to investigate the self-organization of FtsZ filaments recruited to a biomimetic lipid bilayer by its membrane anchor FtsA. We show how to perform single-molecule experiments to study the behavior of individual FtsZ monomers during the constant reorganization of the FtsZ-FtsA filament network. We describe how to analyze the dynamics of single molecules and explain why this information can help to shed light onto possible mechanism of Z-ring constriction. We believe that similar experimental approaches will be useful to study the mechanism of membrane-based polymerization of other cytoskeletal systems, not only from prokaryotic but also eukaryotic origin."}],"acknowledged_ssus":[{"_id":"Bio"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","scopus_import":"1","doi":"10.1016/bs.mcb.2016.03.036","_id":"1213","page":"355 - 370","publication_status":"published"},{"external_id":{"arxiv":["1606.01512"]},"article_type":"original","publisher":"Springer Nature","author":[{"full_name":"Killip, Rowan","last_name":"Killip","first_name":"Rowan"},{"first_name":"Satoshi","last_name":"Masaki","full_name":"Masaki, Satoshi"},{"full_name":"Murphy, Jason","first_name":"Jason","last_name":"Murphy"},{"full_name":"Visan, Monica","first_name":"Monica","last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"}],"day":"15","article_number":"38","article_processing_charge":"No","publication_identifier":{"issn":["1021-9722"],"eissn":["1420-9004"]},"status":"public","date_created":"2026-06-19T07:32:33Z","date_updated":"2026-06-22T10:26:09Z","citation":{"chicago":"Killip, Rowan, Satoshi Masaki, Jason Murphy, and Monica Vişan. “Large Data Mass-Subcritical NLS: Critical Weighted Bounds Imply Scattering.” <i>Nonlinear Differential Equations and Applications NoDEA</i>. Springer Nature, 2017. <a href=\"https://doi.org/10.1007/s00030-017-0463-9\">https://doi.org/10.1007/s00030-017-0463-9</a>.","apa":"Killip, R., Masaki, S., Murphy, J., &#38; Vişan, M. (2017). Large data mass-subcritical NLS: Critical weighted bounds imply scattering. <i>Nonlinear Differential Equations and Applications NoDEA</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00030-017-0463-9\">https://doi.org/10.1007/s00030-017-0463-9</a>","short":"R. Killip, S. Masaki, J. Murphy, M. Vişan, Nonlinear Differential Equations and Applications NoDEA 24 (2017).","mla":"Killip, Rowan, et al. “Large Data Mass-Subcritical NLS: Critical Weighted Bounds Imply Scattering.” <i>Nonlinear Differential Equations and Applications NoDEA</i>, vol. 24, no. 4, 38, Springer Nature, 2017, doi:<a href=\"https://doi.org/10.1007/s00030-017-0463-9\">10.1007/s00030-017-0463-9</a>.","ama":"Killip R, Masaki S, Murphy J, Vişan M. Large data mass-subcritical NLS: Critical weighted bounds imply scattering. <i>Nonlinear Differential Equations and Applications NoDEA</i>. 2017;24(4). doi:<a href=\"https://doi.org/10.1007/s00030-017-0463-9\">10.1007/s00030-017-0463-9</a>","ista":"Killip R, Masaki S, Murphy J, Vişan M. 2017. Large data mass-subcritical NLS: Critical weighted bounds imply scattering. Nonlinear Differential Equations and Applications NoDEA. 24(4), 38.","ieee":"R. Killip, S. Masaki, J. Murphy, and M. Vişan, “Large data mass-subcritical NLS: Critical weighted bounds imply scattering,” <i>Nonlinear Differential Equations and Applications NoDEA</i>, vol. 24, no. 4. Springer Nature, 2017."},"quality_controlled":"1","das_tickbox":"1","date_published":"2017-06-15T00:00:00Z","OA_type":"green","type":"journal_article","language":[{"iso":"eng"}],"intvolume":"        24","year":"2017","oa_version":"Preprint","oa":1,"extern":"1","publication":"Nonlinear Differential Equations and Applications NoDEA","volume":24,"title":"Large data mass-subcritical NLS: Critical weighted bounds imply scattering","scopus_import":"1","doi":"10.1007/s00030-017-0463-9","abstract":[{"lang":"eng","text":"We consider the mass-subcritical nonlinear Schr¨odinger equation in all space dimensions with focusing or defocusing nonlinearity. For such equations with critical regularity sc ∈ (max{−1, −d/2 }, 0), we prove that any solution satisfying {mathematical formular} on its maximal interval of existence must be global and scatter."}],"arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1606.01512","open_access":"1"}],"_id":"22025","issue":"4","publication_status":"published","month":"06","OA_place":"repository"},{"OA_place":"repository","month":"07","page":"3831-3866","publication_status":"published","issue":"7","_id":"22033","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1509.05822"}],"arxiv":1,"abstract":[{"text":"We consider the defocusing energy-critical nonlinear Schrödinger\r\nequation with inverse-square potential iut = −∆u + a|x|^−2u + |u|^4u in three\r\nspace dimensions. We prove global well-posedness and scattering for a >− 1/4 + 1/25. We also carry out the variational analysis needed to treat the focusing case.","lang":"eng"}],"doi":"10.3934/dcds.2017162","scopus_import":"1","volume":37,"title":"The energy-critical NLS with inverse-square potential","publication":"Discrete and Continuous Dynamical Systems","extern":"1","oa":1,"oa_version":"Preprint","year":"2017","intvolume":"        37","language":[{"iso":"eng"}],"OA_type":"green","type":"journal_article","date_published":"2017-07-01T00:00:00Z","quality_controlled":"1","das_tickbox":"1","citation":{"chicago":"Killip, Rowan, Changxing Miao, Monica Vişan, Junyong Zhang, and Jiqiang Zheng. “The Energy-Critical NLS with Inverse-Square Potential.” <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences, 2017. <a href=\"https://doi.org/10.3934/dcds.2017162\">https://doi.org/10.3934/dcds.2017162</a>.","apa":"Killip, R., Miao, C., Vişan, M., Zhang, J., &#38; Zheng, J. (2017). The energy-critical NLS with inverse-square potential. <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences. <a href=\"https://doi.org/10.3934/dcds.2017162\">https://doi.org/10.3934/dcds.2017162</a>","mla":"Killip, Rowan, et al. “The Energy-Critical NLS with Inverse-Square Potential.” <i>Discrete and Continuous Dynamical Systems</i>, vol. 37, no. 7, American Institute of Mathematical Sciences, 2017, pp. 3831–66, doi:<a href=\"https://doi.org/10.3934/dcds.2017162\">10.3934/dcds.2017162</a>.","short":"R. Killip, C. Miao, M. Vişan, J. Zhang, J. Zheng, Discrete and Continuous Dynamical Systems 37 (2017) 3831–3866.","ieee":"R. Killip, C. Miao, M. Vişan, J. Zhang, and J. Zheng, “The energy-critical NLS with inverse-square potential,” <i>Discrete and Continuous Dynamical Systems</i>, vol. 37, no. 7. American Institute of Mathematical Sciences, pp. 3831–3866, 2017.","ista":"Killip R, Miao C, Vişan M, Zhang J, Zheng J. 2017. The energy-critical NLS with inverse-square potential. Discrete and Continuous Dynamical Systems. 37(7), 3831–3866.","ama":"Killip R, Miao C, Vişan M, Zhang J, Zheng J. The energy-critical NLS with inverse-square potential. <i>Discrete and Continuous Dynamical Systems</i>. 2017;37(7):3831-3866. doi:<a href=\"https://doi.org/10.3934/dcds.2017162\">10.3934/dcds.2017162</a>"},"date_updated":"2026-06-22T12:47:32Z","date_created":"2026-06-19T07:42:59Z","publication_identifier":{"issn":["1078-0947"],"eissn":["1553-5231"]},"article_processing_charge":"No","status":"public","day":"01","author":[{"full_name":"Killip, Rowan","first_name":"Rowan","last_name":"Killip"},{"first_name":"Changxing","last_name":"Miao","full_name":"Miao, Changxing"},{"full_name":"Visan, Monica","first_name":"Monica","last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"},{"first_name":"Junyong","last_name":"Zhang","full_name":"Zhang, Junyong"},{"last_name":"Zheng","first_name":"Jiqiang","full_name":"Zheng, Jiqiang"}],"publisher":"American Institute of Mathematical Sciences","article_type":"original","external_id":{"arxiv":["1509.05822"]}},{"oa":1,"oa_version":"Preprint","year":"2017","volume":2017,"title":"Improvements in Birch's theorem on forms in many variables","publication":"Journal fur die Reine und Angewandte Mathematik","extern":"1","issue":"731","_id":"256","publication_status":"published","page":"122","abstract":[{"lang":"eng","text":"We show that a non-singular integral form of degree d is soluble over the integers if and only if it is soluble over ℝ and over ℚp for all primes p, provided that the form has at least (d - 1/2 √d)2d variables. This improves on a longstanding result of Birch."}],"arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"url":"https://arxiv.org/abs/1402.4489","open_access":"1"}],"doi":"10.1515/crelle-2014-0122","month":"10","acknowledgement":"While working on this paper the authors were supported by the Leverhulme Trust and ERC grant 306457.","author":[{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D"},{"full_name":"Prendiville, Sean","last_name":"Prendiville","first_name":"Sean"}],"external_id":{"arxiv":["1402.4489"]},"publisher":"Walter de Gruyter","article_type":"original","corr_author":"1","date_created":"2018-12-11T11:45:28Z","status":"public","publication_identifier":{"issn":["0075-4102"]},"article_processing_charge":"No","day":"01","related_material":{"record":[{"id":"271","relation":"earlier_version","status":"public"}]},"date_published":"2017-10-01T00:00:00Z","publist_id":"7646","quality_controlled":"1","date_updated":"2024-10-09T20:58:16Z","citation":{"apa":"Browning, T. D., &#38; Prendiville, S. (2017). Improvements in Birch’s theorem on forms in many variables. <i>Journal Fur Die Reine Und Angewandte Mathematik</i>. Walter de Gruyter. <a href=\"https://doi.org/10.1515/crelle-2014-0122\">https://doi.org/10.1515/crelle-2014-0122</a>","chicago":"Browning, Timothy D, and Sean Prendiville. “Improvements in Birch’s Theorem on Forms in Many Variables.” <i>Journal Fur Die Reine Und Angewandte Mathematik</i>. Walter de Gruyter, 2017. <a href=\"https://doi.org/10.1515/crelle-2014-0122\">https://doi.org/10.1515/crelle-2014-0122</a>.","short":"T.D. Browning, S. Prendiville, Journal Fur Die Reine Und Angewandte Mathematik 2017 (2017) 122.","mla":"Browning, Timothy D., and Sean Prendiville. “Improvements in Birch’s Theorem on Forms in Many Variables.” <i>Journal Fur Die Reine Und Angewandte Mathematik</i>, vol. 2017, no. 731, Walter de Gruyter, 2017, p. 122, doi:<a href=\"https://doi.org/10.1515/crelle-2014-0122\">10.1515/crelle-2014-0122</a>.","ista":"Browning TD, Prendiville S. 2017. Improvements in Birch’s theorem on forms in many variables. Journal fur die Reine und Angewandte Mathematik. 2017(731), 122.","ieee":"T. D. Browning and S. Prendiville, “Improvements in Birch’s theorem on forms in many variables,” <i>Journal fur die Reine und Angewandte Mathematik</i>, vol. 2017, no. 731. Walter de Gruyter, p. 122, 2017.","ama":"Browning TD, Prendiville S. Improvements in Birch’s theorem on forms in many variables. <i>Journal fur die Reine und Angewandte Mathematik</i>. 2017;2017(731):122. doi:<a href=\"https://doi.org/10.1515/crelle-2014-0122\">10.1515/crelle-2014-0122</a>"},"intvolume":"      2017","language":[{"iso":"eng"}],"type":"journal_article"},{"oa_version":"Preprint","oa":1,"year":"2017","title":"Rational curves on smooth hypersurfaces of low degree","volume":11,"publication":"Geometric Methods in Algebra and Number Theory","extern":"1","page":"1657 - 1675","publication_status":"published","_id":"265","issue":"7","main_file_link":[{"url":"https://arxiv.org/abs/1611.00553","open_access":"1"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"We establish the dimension and irreducibility of the moduli space of rational curves (of fixed degree) on arbitrary smooth hypersurfaces of sufficiently low degree. A spreading out argument reduces the problem to hypersurfaces defined over finite fields of large cardinality, which can then be tackled using a function field version of the Hardy-Littlewood circle method, in which particular care is taken to ensure uniformity in the size of the underlying finite field."}],"arxiv":1,"doi":"10.2140/ant.2017.11.1657","month":"09","acknowledgement":"While working on this paper the first author was supported by ERC grant 306457.","author":[{"first_name":"Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D"},{"last_name":"Vishe","first_name":"Pankaj","full_name":"Vishe, Pankaj"}],"publisher":" Mathematical Sciences Publishers","article_type":"original","external_id":{"arxiv":["1611.00553"]},"corr_author":"1","date_created":"2018-12-11T11:45:30Z","status":"public","publication_identifier":{"eissn":["1944-7833"]},"article_processing_charge":"No","day":"07","date_published":"2017-09-07T00:00:00Z","quality_controlled":"1","publist_id":"7637","citation":{"mla":"Browning, Timothy D., and Pankaj Vishe. “Rational Curves on Smooth Hypersurfaces of Low Degree.” <i>Geometric Methods in Algebra and Number Theory</i>, vol. 11, no. 7,  Mathematical Sciences Publishers, 2017, pp. 1657–75, doi:<a href=\"https://doi.org/10.2140/ant.2017.11.1657\">10.2140/ant.2017.11.1657</a>.","short":"T.D. Browning, P. Vishe, Geometric Methods in Algebra and Number Theory 11 (2017) 1657–1675.","apa":"Browning, T. D., &#38; Vishe, P. (2017). Rational curves on smooth hypersurfaces of low degree. <i>Geometric Methods in Algebra and Number Theory</i>.  Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/ant.2017.11.1657\">https://doi.org/10.2140/ant.2017.11.1657</a>","chicago":"Browning, Timothy D, and Pankaj Vishe. “Rational Curves on Smooth Hypersurfaces of Low Degree.” <i>Geometric Methods in Algebra and Number Theory</i>.  Mathematical Sciences Publishers, 2017. <a href=\"https://doi.org/10.2140/ant.2017.11.1657\">https://doi.org/10.2140/ant.2017.11.1657</a>.","ama":"Browning TD, Vishe P. Rational curves on smooth hypersurfaces of low degree. <i>Geometric Methods in Algebra and Number Theory</i>. 2017;11(7):1657-1675. doi:<a href=\"https://doi.org/10.2140/ant.2017.11.1657\">10.2140/ant.2017.11.1657</a>","ieee":"T. D. Browning and P. Vishe, “Rational curves on smooth hypersurfaces of low degree,” <i>Geometric Methods in Algebra and Number Theory</i>, vol. 11, no. 7.  Mathematical Sciences Publishers, pp. 1657–1675, 2017.","ista":"Browning TD, Vishe P. 2017. Rational curves on smooth hypersurfaces of low degree. Geometric Methods in Algebra and Number Theory. 11(7), 1657–1675."},"date_updated":"2024-10-09T20:58:17Z","intvolume":"        11","language":[{"iso":"eng"}],"type":"journal_article"},{"citation":{"mla":"Browning, Timothy D., and Roger Heath Brown. “Forms in Many Variables and Differing Degrees.” <i>Journal of the European Mathematical Society</i>, vol. 19, no. 2, European Mathematical Society Publishing House, 2017, pp. 357–94, doi:<a href=\"https://doi.org/10.4171/JEMS/668\">10.4171/JEMS/668</a>.","short":"T.D. Browning, R. Heath Brown, Journal of the European Mathematical Society 19 (2017) 357–394.","chicago":"Browning, Timothy D, and Roger Heath Brown. “Forms in Many Variables and Differing Degrees.” <i>Journal of the European Mathematical Society</i>. European Mathematical Society Publishing House, 2017. <a href=\"https://doi.org/10.4171/JEMS/668\">https://doi.org/10.4171/JEMS/668</a>.","apa":"Browning, T. D., &#38; Heath Brown, R. (2017). Forms in many variables and differing degrees. <i>Journal of the European Mathematical Society</i>. European Mathematical Society Publishing House. <a href=\"https://doi.org/10.4171/JEMS/668\">https://doi.org/10.4171/JEMS/668</a>","ama":"Browning TD, Heath Brown R. Forms in many variables and differing degrees. <i>Journal of the European Mathematical Society</i>. 2017;19(2):357-394. doi:<a href=\"https://doi.org/10.4171/JEMS/668\">10.4171/JEMS/668</a>","ieee":"T. D. Browning and R. Heath Brown, “Forms in many variables and differing degrees,” <i>Journal of the European Mathematical Society</i>, vol. 19, no. 2. European Mathematical Society Publishing House, pp. 357–394, 2017.","ista":"Browning TD, Heath Brown R. 2017. Forms in many variables and differing degrees. Journal of the European Mathematical Society. 19(2), 357–394."},"date_updated":"2024-10-09T20:58:17Z","date_published":"2017-01-26T00:00:00Z","quality_controlled":"1","publist_id":"7636","language":[{"iso":"eng"}],"type":"journal_article","intvolume":"        19","author":[{"full_name":"Browning, Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","first_name":"Timothy D"},{"last_name":"Heath Brown","first_name":"Roger","full_name":"Heath Brown, Roger"}],"article_type":"original","publisher":"European Mathematical Society Publishing House","external_id":{"arxiv":["1403.5937"]},"status":"public","article_processing_charge":"No","day":"26","corr_author":"1","date_created":"2018-12-11T11:45:31Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1403.5937"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"We generalise Birch's seminal work on forms in many variables to handle a system of forms in which the degrees need not all be the same. This allows us to prove the Hasse principle, weak approximation, and the Manin-Peyre conjecture for a smooth and geometrically integral variety X Pm, provided only that its dimension is large enough in terms of its degree."}],"arxiv":1,"doi":"10.4171/JEMS/668","page":"357 - 394","publication_status":"published","issue":"2","_id":"266","acknowledgement":"While working on this paper the first author was supported by ERC grant 306457.","month":"01","year":"2017","oa":1,"oa_version":"Preprint","publication":"Journal of the European Mathematical Society","extern":"1","volume":19,"title":"Forms in many variables and differing degrees"},{"volume":63,"title":"Many cubic surfaces contain rational points","publication":"Mathematika","extern":"1","oa_version":"Preprint","oa":1,"year":"2017","month":"11","acknowledgement":"While working on this paper the author was supported by ERC grant 306457.","page":"818 - 839","publication_status":"published","_id":"267","issue":"3","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"url":"https://arxiv.org/abs/1701.00525","open_access":"1"}],"abstract":[{"lang":"eng","text":"Building on recent work of Bhargava, Elkies and Schnidman and of Kriz and Li, we produce infinitely many smooth cubic surfaces defined over the field of rational numbers that contain rational points."}],"arxiv":1,"doi":"10.1112/S0025579317000195","corr_author":"1","date_created":"2018-12-11T11:45:31Z","status":"public","article_processing_charge":"No","publication_identifier":{"issn":["0025-5793"]},"day":"29","author":[{"full_name":"Browning, Timothy D","orcid":"0000-0002-8314-0177","first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning"}],"publisher":"Cambridge University Press","article_type":"original","external_id":{"arxiv":["1701.00525"]},"intvolume":"        63","language":[{"iso":"eng"}],"type":"journal_article","date_published":"2017-11-29T00:00:00Z","publist_id":"7635","quality_controlled":"1","citation":{"ieee":"T. D. Browning, “Many cubic surfaces contain rational points,” <i>Mathematika</i>, vol. 63, no. 3. Cambridge University Press, pp. 818–839, 2017.","ista":"Browning TD. 2017. Many cubic surfaces contain rational points. Mathematika. 63(3), 818–839.","ama":"Browning TD. Many cubic surfaces contain rational points. <i>Mathematika</i>. 2017;63(3):818-839. doi:<a href=\"https://doi.org/10.1112/S0025579317000195\">10.1112/S0025579317000195</a>","chicago":"Browning, Timothy D. “Many Cubic Surfaces Contain Rational Points.” <i>Mathematika</i>. Cambridge University Press, 2017. <a href=\"https://doi.org/10.1112/S0025579317000195\">https://doi.org/10.1112/S0025579317000195</a>.","apa":"Browning, T. D. (2017). Many cubic surfaces contain rational points. <i>Mathematika</i>. Cambridge University Press. <a href=\"https://doi.org/10.1112/S0025579317000195\">https://doi.org/10.1112/S0025579317000195</a>","short":"T.D. Browning, Mathematika 63 (2017) 818–839.","mla":"Browning, Timothy D. “Many Cubic Surfaces Contain Rational Points.” <i>Mathematika</i>, vol. 63, no. 3, Cambridge University Press, 2017, pp. 818–39, doi:<a href=\"https://doi.org/10.1112/S0025579317000195\">10.1112/S0025579317000195</a>."},"date_updated":"2024-10-09T20:58:16Z"},{"day":"01","status":"public","publication_identifier":{"issn":["1073-7928"]},"article_processing_charge":"No","date_created":"2018-12-11T11:45:31Z","external_id":{"arxiv":["1510.00136"]},"publisher":"Oxford University Press","article_type":"original","author":[{"orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D"},{"last_name":"Prendiville","first_name":"Sean","full_name":"Prendiville, Sean"}],"type":"journal_article","language":[{"iso":"eng"}],"intvolume":"      2017","date_updated":"2024-03-05T11:52:36Z","citation":{"ieee":"T. D. Browning and S. Prendiville, “A transference approach to a Roth-type theorem in the squares,” <i>International Mathematics Research Notices</i>, vol. 2017, no. 7. Oxford University Press, pp. 2219–2248, 2017.","ista":"Browning TD, Prendiville S. 2017. A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices. 2017(7), 2219–2248.","ama":"Browning TD, Prendiville S. A transference approach to a Roth-type theorem in the squares. <i>International Mathematics Research Notices</i>. 2017;2017(7):2219-2248. doi:<a href=\"https://doi.org/10.1093/imrn/rnw096\">10.1093/imrn/rnw096</a>","mla":"Browning, Timothy D., and Sean Prendiville. “A Transference Approach to a Roth-Type Theorem in the Squares.” <i>International Mathematics Research Notices</i>, vol. 2017, no. 7, Oxford University Press, 2017, pp. 2219–48, doi:<a href=\"https://doi.org/10.1093/imrn/rnw096\">10.1093/imrn/rnw096</a>.","short":"T.D. Browning, S. Prendiville, International Mathematics Research Notices 2017 (2017) 2219–2248.","apa":"Browning, T. D., &#38; Prendiville, S. (2017). A transference approach to a Roth-type theorem in the squares. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnw096\">https://doi.org/10.1093/imrn/rnw096</a>","chicago":"Browning, Timothy D, and Sean Prendiville. “A Transference Approach to a Roth-Type Theorem in the Squares.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2017. <a href=\"https://doi.org/10.1093/imrn/rnw096\">https://doi.org/10.1093/imrn/rnw096</a>."},"quality_controlled":"1","publist_id":"7634","date_published":"2017-04-01T00:00:00Z","extern":"1","publication":"International Mathematics Research Notices","title":"A transference approach to a Roth-type theorem in the squares","volume":2017,"year":"2017","oa_version":"Preprint","oa":1,"acknowledgement":"Whilst working on this paper the authors were supported by ERC grant 306457.","month":"04","doi":"10.1093/imrn/rnw096","abstract":[{"text":"We show that any subset of the squares of positive relative upper density contains nontrivial solutions to a translation-invariant linear equation in five or more variables, with explicit quantitative bounds. As a consequence, we establish the partition regularity of any diagonal quadric in five or more variables whose coefficients sum to zero. Unlike previous approaches, which are limited to equations in seven or more variables, we employ transference technology of Green to import bounds from the linear setting.","lang":"eng"}],"arxiv":1,"main_file_link":[{"url":"https://arxiv.org/abs/1510.00136","open_access":"1"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"268","issue":"7","page":"2219 - 2248","publication_status":"published"}]