Péter Koltai
Péter Koltai
Researcher in Mathematics, Universität Bayreuth
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Zitiert von
Zitiert von
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
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
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
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
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
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
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
Efficient approximation methods for the global long-term behavior of dynamical systems: theory, algorithms and examples
P Koltai
Logos Verlag Berlin GmbH, 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
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
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
Estimating long-term behavior of periodically driven flows without trajectory integration
G Froyland, P Koltai
Nonlinearity 30 (5), 1948, 2017
Pseudogenerators of spatial transfer operators
A Bittracher, P Koltai, O Junge
SIAM Journal on Applied Dynamical Systems 14 (3), 1478-1517, 2015
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
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
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
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
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
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
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
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