On the numerical approximation of the Perron-Frobenius and Koopman operator S Klus, P Koltai, C Schütte Journal of Computational Dynamics 3 (1), 51-79, 2016 | 330 | 2016 |
Data-driven model reduction and transfer operator approximation S Klus, F Nüske, P Koltai, H Wu, I Kevrekidis, C Schütte, F Noé Journal of Nonlinear Science 28, 985-1010, 2018 | 291 | 2018 |
Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations H Wu, F Nüske, F Paul, S Klus, P Koltai, F Noé The Journal of chemical physics 146 (15), 2017 | 138 | 2017 |
Understanding the geometry of transport: diffusion maps for Lagrangian trajectory data unravel coherent sets R Banisch, P Koltai Chaos: An Interdisciplinary Journal of Nonlinear Science 27 (3), 2017 | 99 | 2017 |
Estimating long-term behavior of flows without trajectory integration: The infinitesimal generator approach G Froyland, O Junge, P Koltai SIAM Journal on Numerical Analysis 51 (1), 223-247, 2013 | 96 | 2013 |
Transition manifolds of complex metastable systems: Theory and data-driven computation of effective dynamics A Bittracher, P Koltai, S Klus, R Banisch, M Dellnitz, C Schütte Journal of nonlinear science 28, 471-512, 2018 | 49 | 2018 |
Optimal data-driven estimation of generalized Markov state models for non-equilibrium dynamics P Koltai, H Wu, F Noé, C Schütte Computation 6 (1), 22, 2018 | 38 | 2018 |
Efficient approximation methods for the global long-term behavior of dynamical systems: theory, algorithms and examples P Koltai Logos Verlag Berlin GmbH, 2011 | 38 | 2011 |
Discretization of the Frobenius–Perron operator using a sparse Haar tensor basis: the sparse Ulam method O Junge, P Koltai SIAM Journal on Numerical Analysis 47 (5), 3464-3485, 2009 | 37 | 2009 |
Transition paths of marine debris and the stability of the garbage patches P Miron, FJ Beron-Vera, L Helfmann, P Koltai Chaos: An Interdisciplinary Journal of Nonlinear Science 31 (3), 2021 | 36 | 2021 |
Event-based control L Grüne, S Hirche, O Junge, P Koltai, D Lehmann, J Lunze, A Molin, ... Control theory of digitally networked dynamic systems, 169-261, 2014 | 33 | 2014 |
Estimating long-term behavior of periodically driven flows without trajectory integration G Froyland, P Koltai Nonlinearity 30 (5), 1948, 2017 | 30 | 2017 |
Pseudogenerators of spatial transfer operators A Bittracher, P Koltai, O Junge SIAM Journal on Applied Dynamical Systems 14 (3), 1478-1517, 2015 | 29 | 2015 |
Extending transition path theory: Periodically driven and finite-time dynamics L Helfmann, E Ribera Borrell, C Schütte, P Koltai Journal of nonlinear science 30 (6), 3321-3366, 2020 | 27 | 2020 |
Dimensionality reduction of complex metastable systems via kernel embeddings of transition manifolds A Bittracher, S Klus, B Hamzi, P Koltai, C Schütte Journal of Nonlinear Science 31, 1-41, 2021 | 26 | 2021 |
Markov-chain-inspired search for MH370 P Miron, FJ Beron-Vera, MJ Olascoaga, P Koltai Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (4), 2019 | 26 | 2019 |
On metastability and Markov state models for non-stationary molecular dynamics P Koltai, G Ciccotti, C Schütte The Journal of chemical physics 145 (17), 2016 | 26 | 2016 |
Diffusion maps tailored to arbitrary non-degenerate Itô processes R Banisch, Z Trstanova, A Bittracher, S Klus, P Koltai Applied and Computational Harmonic Analysis 48 (1), 242-265, 2020 | 18 | 2020 |
Statistical analysis of tipping pathways in agent-based models L Helfmann, J Heitzig, P Koltai, J Kurths, C Schütte The European Physical Journal Special Topics 230 (16), 3249-3271, 2021 | 16 | 2021 |
Diffusion maps embedding and transition matrix analysis of the large-scale flow structure in turbulent Rayleigh–Bénard convection P Koltai, S Weiss Nonlinearity 33 (4), 1723, 2020 | 16 | 2020 |