×
Author ID: koltai.peter Recent zbMATH articles by "Koltai, Péter"
Published as: Koltai, Péter; Koltai, P.
External Links: MGP

Publications by Year

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 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

Citations by Year