Edit Profile (opens in new tab) Koltai, Péter Co-Author Distance Author ID: koltai.peter Published as: Koltai, Péter; Koltai, P. External Links: MGP Documents Indexed: 43 Publications since 2009, including 15 Additional arXiv Preprints Co-Authors: 58 Co-Authors with 40 Joint Publications 1,490 Co-Co-Authors all top 5 Co-Authors 3 single-authored 11 Schütte, Christof 9 Junge, Oliver 6 Bittracher, Andreas 6 Klus, Stefan 5 Froyland, Gary 4 Banisch, Ralf 3 Mollenhauer, Mattes 2 Dellnitz, Michael 2 Heitzig, Jobst 2 Lücke, Marvin 2 Molkenthin, Nora 2 Noé, Frank 2 Nüske, Feliks 2 Padberg-Gehle, Kathrin 2 Stahn, Martin 2 Winkelmann, Stefanie 2 Wu, Hao 2 Wulkow, Niklas 1 Boninsegna, Lorenzo 1 Chemnitz, Robin 1 Clementi, Cecilia 1 Engel, Maximilian 1 Friesecke, Gero 1 Gerlach, Raphael 1 Giulietti, Paolo 1 Grüne, Lars 1 Hamzi, Boumediene 1 Hartmann, Carsten 1 Helfmann, Luzie 1 Hirche, Sandra 1 Kevrekidis, Ioannis George 1 Klebanov, Ilja 1 Kunde, Philipp 1 Lehmann, Daniel 1 Lie, Han Cheng 1 Lunze, Jan 1 Molin, Adam 1 Neumayer, Sebastian 1 Nüsken, Nikolas 1 Pandey, Ambrish 1 Plonka, Martin 1 Polzin, Robert 1 Renger, D. R. Michiel 1 Ribera Borrell, Enric 1 Sailer, Rudolf 1 Schneide, Christiane 1 Schumacher, Jörg 1 Sigurani, Manuela 1 Steidl, Gabriele 1 Stöcker, Christian 1 Sunkara, Vikram 1 Trstanova, Zofia 1 Unanue, Alvaro de Diego 1 Vaienti, Sandro 1 Volf, Alexander 1 von Lindheim, Johannes 1 Weiss, Stephan 1 Wirth, Fabian Roger all top 5 Serials 6 Journal of Nonlinear Science 3 Nonlinearity 3 Multiscale Modeling & Simulation 2 SIAM Journal on Numerical Analysis 2 Chaos 2 SIAM Journal on Applied Dynamical Systems 2 Journal of Computational Dynamics 1 Communications on Pure and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Physica D 1 Stochastic Processes and their Applications 1 Applied and Computational Harmonic Analysis 1 Discrete and Continuous Dynamical Systems 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik all top 5 Fields 22 Dynamical systems and ergodic theory (37-XX) 14 Probability theory and stochastic processes (60-XX) 8 Operator theory (47-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Ordinary differential equations (34-XX) 6 Statistics (62-XX) 5 Numerical analysis (65-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 2 Combinatorics (05-XX) 2 Partial differential equations (35-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 304 times in 175 Documents Cited by ▼ Year ▼ On the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1353.37154 Schütte, Christof; Koltai, Péter; Klus, Stefan 66 2016 Data-driven model reduction and transfer operator approximation. Zbl 1396.37083 Klus, Stefan; Nüske, Feliks; Koltai, Péter; Wu, Hao; Kevrekidis, Ioannis; Schütte, Christof; Noé, Frank 57 2018 Estimating long-term behavior of flows without trajectory integration: the infinitesimal generator approach. Zbl 1267.37101 Froyland, Gary; Junge, Oliver; Koltai, Péter 44 2013 Understanding the geometry of transport: diffusion maps for Lagrangian trajectory data unravel coherent sets. Zbl 1387.37011 Banisch, Ralf; Koltai, Péter 32 2017 Transition manifolds of complex metastable systems. Theory and data-driven computation of effective dynamics. Zbl 06860496 Bittracher, Andreas; Koltai, Péter; Klus, Stefan; Banisch, Ralf; Dellnitz, Michael; Schütte, Christof 20 2018 Estimating long-term behavior of periodically driven flows without trajectory integration. Zbl 1380.37143 Froyland, Gary; Koltai, Péter 15 2017 Discretization of the Frobenius-Perron operator using a sparse Haar tensor basis: the sparse Ulam method. Zbl 1210.37061 Junge, Oliver; Koltai, Péter 14 2009 Dimensionality reduction of complex metastable systems via kernel embeddings of transition manifolds. Zbl 1466.37068 Bittracher, Andreas; Klus, Stefan; Hamzi, Boumediene; Koltai, Péter; Schütte, Christof 10 2021 Pseudogenerators of spatial transfer operators. Zbl 1322.82011 Bittracher, Andreas; Koltai, Péter; Junge, Oliver 8 2015 A stochastic approach for computing the domain of attraction without trajectory simulation. Zbl 1306.37096 Koltai, Péter 6 2011 Fréchet differentiable drift dependence of Perron-Frobenius and Koopman operators for non-deterministic dynamics. Zbl 1475.60104 Koltai, Péter; Lie, Han Cheng; Plonka, Martin 6 2019 Mean field approximation in conformation dynamics. Zbl 1214.82052 Friesecke, Gero; Junge, Oliver; Koltai, Péter 4 2009 Diffusion maps tailored to arbitrary non-degenerate Itô processes. Zbl 1456.60198 Banisch, Ralf; Trstanova, Zofia; Bittracher, Andreas; Klus, Stefan; Koltai, Péter 4 2020 Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration. Zbl 1468.37058 Froyland, Gary; Koltai, Péter; Stahn, Martin 4 2020 From large deviations to semidistances of transport and mixing: coherence analysis for finite Lagrangian data. Zbl 1402.37088 Koltai, Péter; Renger, D. R. Michiel 4 2018 Extending transition path theory: periodically driven and finite-time dynamics. Zbl 1475.82013 Helfmann, Luzie; Ribera Borrell, Enric; Schütte, Christof; Koltai, Péter 3 2020 Optimizing the stable behavior of parameter-dependent dynamical systems – maximal domains of attraction, minimal absorption times. Zbl 1311.34127 Koltai, Péter; Volf, Alexander 2 2014 Optimal reaction coordinates: variational characterization and sparse computation. Zbl 07705311 Bittracher, Andreas; Mollenhauer, Mattes; Koltai, Péter; Schütte, Christof 2 2023 Transfer operators from optimal transport plans for coherent set detection. Zbl 1518.49051 Koltai, Péter; von Lindheim, Johannes; Neumayer, Sebastian; Steidl, Gabriele 1 2021 Diffusion maps embedding and transition matrix analysis of the large-scale flow structure in turbulent Rayleigh-Bénard convection. Zbl 1439.58021 Koltai, Péter; Weiss, Stephan 1 2020 A multiscale perturbation expansion approach for Markov state modeling of nonstationary molecular dynamics. Zbl 1401.60139 Koltai, Péter; Schütte, Christof 1 2018 Optimal reaction coordinates: variational characterization and sparse computation. Zbl 07705311 Bittracher, Andreas; Mollenhauer, Mattes; Koltai, Péter; Schütte, Christof 2 2023 Dimensionality reduction of complex metastable systems via kernel embeddings of transition manifolds. Zbl 1466.37068 Bittracher, Andreas; Klus, Stefan; Hamzi, Boumediene; Koltai, Péter; Schütte, Christof 10 2021 Transfer operators from optimal transport plans for coherent set detection. Zbl 1518.49051 Koltai, Péter; von Lindheim, Johannes; Neumayer, Sebastian; Steidl, Gabriele 1 2021 Diffusion maps tailored to arbitrary non-degenerate Itô processes. Zbl 1456.60198 Banisch, Ralf; Trstanova, Zofia; Bittracher, Andreas; Klus, Stefan; Koltai, Péter 4 2020 Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration. Zbl 1468.37058 Froyland, Gary; Koltai, Péter; Stahn, Martin 4 2020 Extending transition path theory: periodically driven and finite-time dynamics. Zbl 1475.82013 Helfmann, Luzie; Ribera Borrell, Enric; Schütte, Christof; Koltai, Péter 3 2020 Diffusion maps embedding and transition matrix analysis of the large-scale flow structure in turbulent Rayleigh-Bénard convection. Zbl 1439.58021 Koltai, Péter; Weiss, Stephan 1 2020 Fréchet differentiable drift dependence of Perron-Frobenius and Koopman operators for non-deterministic dynamics. Zbl 1475.60104 Koltai, Péter; Lie, Han Cheng; Plonka, Martin 6 2019 Data-driven model reduction and transfer operator approximation. Zbl 1396.37083 Klus, Stefan; Nüske, Feliks; Koltai, Péter; Wu, Hao; Kevrekidis, Ioannis; Schütte, Christof; Noé, Frank 57 2018 Transition manifolds of complex metastable systems. Theory and data-driven computation of effective dynamics. Zbl 06860496 Bittracher, Andreas; Koltai, Péter; Klus, Stefan; Banisch, Ralf; Dellnitz, Michael; Schütte, Christof 20 2018 From large deviations to semidistances of transport and mixing: coherence analysis for finite Lagrangian data. Zbl 1402.37088 Koltai, Péter; Renger, D. R. Michiel 4 2018 A multiscale perturbation expansion approach for Markov state modeling of nonstationary molecular dynamics. Zbl 1401.60139 Koltai, Péter; Schütte, Christof 1 2018 Understanding the geometry of transport: diffusion maps for Lagrangian trajectory data unravel coherent sets. Zbl 1387.37011 Banisch, Ralf; Koltai, Péter 32 2017 Estimating long-term behavior of periodically driven flows without trajectory integration. Zbl 1380.37143 Froyland, Gary; Koltai, Péter 15 2017 On the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1353.37154 Schütte, Christof; Koltai, Péter; Klus, Stefan 66 2016 Pseudogenerators of spatial transfer operators. Zbl 1322.82011 Bittracher, Andreas; Koltai, Péter; Junge, Oliver 8 2015 Optimizing the stable behavior of parameter-dependent dynamical systems – maximal domains of attraction, minimal absorption times. Zbl 1311.34127 Koltai, Péter; Volf, Alexander 2 2014 Estimating long-term behavior of flows without trajectory integration: the infinitesimal generator approach. Zbl 1267.37101 Froyland, Gary; Junge, Oliver; Koltai, Péter 44 2013 A stochastic approach for computing the domain of attraction without trajectory simulation. Zbl 1306.37096 Koltai, Péter 6 2011 Discretization of the Frobenius-Perron operator using a sparse Haar tensor basis: the sparse Ulam method. Zbl 1210.37061 Junge, Oliver; Koltai, Péter 14 2009 Mean field approximation in conformation dynamics. Zbl 1214.82052 Friesecke, Gero; Junge, Oliver; Koltai, Péter 4 2009 all cited Publications top 5 cited Publications all top 5 Cited by 305 Authors 21 Koltai, Péter 17 Klus, Stefan 17 Schütte, Christof 13 Froyland, Gary 8 Chappell, David J. 7 Bittracher, Andreas 7 Brunton, Steven L. 7 Giannakis, Dimitrios 7 Peitz, Sebastian 6 Hamzi, Boumediene 6 Junge, Oliver 6 Kutz, J. Nathan 6 Nüske, Feliks 6 Tanner, Gregor K. 5 Mezić, Igor 5 Owhadi, Houman 4 Bajars, Janis 4 Banisch, Ralf 4 Bollt, Erik M. 4 Kevrekidis, Ioannis George 4 Santitissadeekorn, Naratip 3 Balasuriya, Sanjeeva 3 Colbrook, Matthew J. 3 Dellnitz, Michael 3 Dijkstra, Henk A. 3 Jiang, Lijian 3 Kaiser, Eurika 3 Karrasch, Daniel 3 Mollenhauer, Mattes 3 Noé, Frank 3 Tantet, Alexis 3 Wu, Hao 2 Antown, Fadi 2 Arbabi, Hassan 2 Bandtlow, Oscar F. 2 Budišić, Marko 2 Cameron, Maria Kourkina 2 Chekroun, Mickaël D. 2 Clementi, Cecilia 2 Das, Suddhasattwa 2 Daviller, Guillaume 2 Dietrich, Felix 2 Dinner, Aaron R. 2 Gelß, Patrick 2 Gottwald, Georg A. 2 Just, Wolfram 2 Kaltenbach, Sebastian 2 Korda, Milan 2 Koutsourelakis, Phaedon-Stelios 2 Li, Mengnan 2 Lucarini, Valerio 2 Lücke, Marvin 2 Molkenthin, Nora 2 Neelin, J. David 2 Neumayer, Sebastian 2 Ni, Angxiu 2 Niemann, Jan-Hendrik 2 Padberg-Gehle, Kathrin 2 Ribera Borrell, Enric 2 Richter, Martin 2 Rowley, Clarence Worth 2 Schilling, Nathanael 2 Schuster, Ingmar 2 Sikorski, Alexander 2 Slawinska, Joanna 2 Slipantschuk, Julia 2 Steidl, Gabriele 2 Trstanova, Zofia 2 von Lindheim, Johannes 2 Weare, Jonathan Quincy 2 Weber, Marcus 2 Winkelmann, Stefanie 2 Ziessler, Adrian 1 Abel, Markus 1 Alexander, Romeo 1 AlMomani, Abd AlRahman R. 1 Anghel, Marian 1 Artana, Guillermo 1 Aston, Philip J. 1 Ayton, Lorna J. 1 Baldovin, Marco 1 Balibrea-Iniesta, Francisco 1 Ballard, Grey M. 1 Beier, Florian 1 Benaïm, Michel 1 Bentz, Channing 1 Bieker, Katharina 1 Blachut, Chantelle 1 Blazevski, Daniel 1 Bouchet, Freddy 1 Bramburger, Jason J. 1 Bréhier, Charles-Edouard 1 Breiten, Tobias 1 Brunton, Bingni Wen 1 Burov, Dmitry A. 1 Callaham, Jared L. 1 Cazeaux, Paul 1 Cecconi, Fabio 1 Charó, Gisela D. 1 Chau, Wai Ming ...and 205 more Authors all top 5 Cited in 50 Serials 21 Journal of Nonlinear Science 17 Physica D 13 Chaos 12 SIAM Journal on Applied Dynamical Systems 11 Journal of Computational Physics 8 Journal of Statistical Physics 8 Nonlinearity 8 Multiscale Modeling & Simulation 7 Journal of Fluid Mechanics 7 Journal of Computational Dynamics 5 Communications in Nonlinear Science and Numerical Simulation 4 Automatica 4 Applied and Computational Harmonic Analysis 2 Communications on Pure and Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 SIAM Review 2 SIAM Journal on Scientific Computing 2 Journal of Statistical Mechanics: Theory and Experiment 2 Journal of Physics A: Mathematical and Theoretical 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physica A 1 Wave Motion 1 Mathematics of Computation 1 SIAM Journal on Control and Optimization 1 Computational Mechanics 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Neural Computation 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Journal of Mathematical Imaging and Vision 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Complexity 1 Electronic Journal of Probability 1 Bernoulli 1 European Journal of Control 1 Nonlinear Dynamics 1 Methodology and Computing in Applied Probability 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Acta Numerica 1 Oberwolfach Reports 1 Communications in Computational Physics 1 Journal of Theoretical Biology 1 SIAM/ASA Journal on Uncertainty Quantification 1 Research in the Mathematical Sciences 1 SMAI Journal of Computational Mathematics 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 32 Fields 95 Dynamical systems and ergodic theory (37-XX) 51 Numerical analysis (65-XX) 44 Probability theory and stochastic processes (60-XX) 27 Computer science (68-XX) 25 Fluid mechanics (76-XX) 25 Statistical mechanics, structure of matter (82-XX) 23 Operator theory (47-XX) 20 Partial differential equations (35-XX) 20 Systems theory; control (93-XX) 15 Statistics (62-XX) 10 Ordinary differential equations (34-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Operations research, mathematical programming (90-XX) 6 Geophysics (86-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Mechanics of deformable solids (74-XX) 4 Combinatorics (05-XX) 4 Optics, electromagnetic theory (78-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Citations by Year