Browse by Authors

2021

Giulietti, P. and Koltai, P. and Vaienti, S. (2021) Targets and holes. Proc. Amer. Math. Soc., 149 . pp. 3293-3306.

Miron, P. and Beron-Vera, F.J. and Helfmann, L. and Koltai, P. (2021) Transition paths of marine debris and the stability of the garbage patches. Chaos, 31 . pp. 1-16.

2020

Banisch, R. and Trstanova, Z. and Bittracher, A. and Klus, S. and Koltai, P. (2020) Diffusion maps tailored to arbitrary non-degenerate Ito processes. Applied and computational harmonic analysis, 48 (1). pp. 242-265. ISSN 1063-5203, 1096-603X

2019

Koltai, P. and Lie, Han Cheng and Plonka, M. (2019) Fréchet differentiable drift dependence of Perron--Frobenius and Koopman operators for non-deterministic dynamics. Nonlinearity, 32 (11). pp. 4232-4257. ISSN 0951-7715

Miron, P. and Beron-Vera, F.J. and Olascoaga, M.J. and Koltai, P. (2019) Markov-chain-inspired search for MH370. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29 (4). ISSN 1054-1500 (print); 1089-7682 (online)

Fackeldey, K. and Koltai, P. and Névir, P. and Rust, H.W. and Schild, A and Weber, M. (2019) From Metastable to Coherent Sets – time-discretization schemes. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29 (1). 012101. ISSN 1054-1500 (print); 1089-7682 (online)

2018

Koltai, P. and Renger, M. (2018) From Large Deviations to Semidistances of Transport and Mixing: Coherence Analysis for Finite Lagrangian Data. Journal of Nonlinear Science, 28 (5). pp. 1915-1957. ISSN 1432-1467 (online)

Bittracher, A. and Koltai, P. and Klus, S. and Banisch, R. and Dellnitz, M. and Schütte, Ch. (2018) Transition manifolds of complex metastable systems: Theory and data-driven computation of effective dynamics. Journal of Nonlinear Science, 28 (2). pp. 471-512. ISSN 1432-1467 (online)

Koltai, P. and Wu, H. and Noé, F. and Schütte, Ch. (2018) Optimal data-driven estimation of generalized Markov state models for non-equilibrium dynamics. Computation, 6(1) (22). ISSN 2079-3197 (online)

Klus, S. and Nüske, F. and Koltai, P. and Wu, H. and Kevrekidis, I. and Schütte, Ch. and Noé, F. (2018) Data-driven model reduction and transfer operator approximation. Journal of Nonlinear Science, 28 (1). pp. 1-26.

Banisch, R. and Trstanova, Z. and Bittracher, A. and Klus, S. and Koltai, P. (2018) Diffusion maps tailored to arbitrary non-degenerate Itô processes. Applied and Computational Harmonic Analysis . ISSN 1063-5203 (In Press)

Koltai, P. and Schütte, Ch. (2018) A multiscale perturbation expansion approach for Markov state modeling of non-stationary molecular dynamics. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 16 (4). pp. 1455-1485. ISSN 1540-3459

2017

Bittracher, A. and Koltai, P. and Klus, S. and Banisch, R. and Dellnitz, M. and Schütte, Ch. (2017) Transition manifolds of complex metastable systems: Theory and data-driven computation of effective dynamics. Journal of Nonlinear Science . pp. 1-42. ISSN 1432-1467 (online)

Koltai, P. and Schütte, Ch. (2017) A multi scale perturbation expansion approach for Markov state modeling of non-stationary molecular dynamics. ZIB-Report . ISSN 1438-0064

2016

Koltai, P. and Ciccotti, G. and Schütte, Ch. (2016) On metastability and Markov state models for non-stationary molecular dynamics. Journal of Chemical Physics, 145 (17). p. 174103.

Klus, S. and Koltai, P. and Schütte, Ch. (2016) On the numerical approximation of the Perron-Frobenius and Koopman operator. Journal of Computational Dynamics, 3 (1). pp. 51-79. ISSN 2158-2491