Group by:
Item Type |
YearNumber of items: 58.
Book / Monograph
Koltai, Peter:
Efficient approximation methods for the global long-term behavior of dynamical systems : Theory, algorithms and examples.
Berlin
:
Logos-Verlag
,
2011
. -
VIII, 162 p.
ISBN 978-3-8325-2752-5
Article in a journal
Polzin, Robert M. ; Klebanov, Ilja ; Nüsken, Nikolas ; Koltai, Peter:
Coherent Set Identification Via Direct Low Rank Maximum Likelihood Estimation.
In: Journal of Nonlinear Science.
Vol. 35
(2025)
.
- 2.
ISSN 1432-1467
DOI: https://doi.org/10.1007/s00332-024-10091-x
Chemnitz, Robin ; Engel, Maximilian ; Koltai, Peter:
Continuous-time extensions of discrete-time cocycles.
In: Proceedings of the American Mathematical Society Series B.
Vol. 11
(2024)
.
- pp. 23-35.
ISSN 2330-1511
DOI: https://doi.org/10.1090/bproc/209
Chemnitz, Robin ; Engel, Maximilian ; Koltai, Peter:
Extracting coherent sets in aperiodically driven flows from generators of Mather semigroups.
In: Discrete and Continuous Dynamical Systems. Series B.
(2024)
.
ISSN 1531-3492
DOI: https://doi.org/10.3934/dcdsb.2024149
Koltai, Peter ; Kunde, Philipp:
A Koopman-Takens theorem : Linear least squares prediction of nonlinear time series.
In: Communications in Mathematical Physics.
Vol. 405
(2024)
.
- 120.
ISSN 1432-0916
DOI: https://doi.org/10.1007/s00220-024-05004-8
Lücke, Marvin ; Winkelmann, Stefanie ; Heitzig, Jobst ; Molkenthin, Nora ; Koltai, Peter:
Learning interpretable collective variables for spreading processes on networks.
In: Physical Review E.
Vol. 109
(2024)
Issue 2
.
- L022301.
ISSN 2470-0053
DOI: https://doi.org/10.1103/PhysRevE.109.L022301
Froyland, Gary ; Koltai, Peter:
Detecting the birth and death of finite-time coherent sets.
In: Communications on Pure and Applied Mathematics.
(2023)
.
ISSN 1097-0312
DOI: https://doi.org/10.1002/cpa.22115
Lücke, Marvin ; Heitzig, Jobst ; Koltai, Peter ; Molkenthin, Nora ; Winkelmann, Stefanie:
Large population limits of Markov processes on random networks.
In: Stochastic Processes and their Applications.
Vol. 166
(2023)
.
- 104220.
ISSN 0304-4149
DOI: https://doi.org/10.1016/j.spa.2023.09.007
Bittracher, Andreas ; Mollenhauer, Mattes ; Koltai, Peter ; Schütte, Christof:
Optimal reaction coordinates : Variational characterization and sparse computation.
In: Multiscale Modeling & Simulation.
Vol. 21
(2023)
Issue 2
.
- pp. 449-488.
ISSN 1540-3467
DOI: https://doi.org/10.1137/21M1448367
Maity, Priyanka ; Bittracher, Andreas ; Koltai, Peter ; Schumacher, Jörg:
Collective variables between large-scale states in turbulent convection.
In: Physical Review Research.
Vol. 5
(2023)
Issue 3
.
- 033061.
ISSN 2643-1564
DOI: https://doi.org/10.1103/PhysRevResearch.5.033061
Polzin, Robert ; Müller, Annette ; Rust, Henning ; Névir, Peter ; Koltai, Peter:
Direct Bayesian model reduction of smaller scale convective activity conditioned on large-scale dynamics.
In: Nonlinear Processes in Geophysics.
Vol. 29
(2022)
Issue 1
.
- pp. 37-52.
ISSN 1607-7946
DOI: https://doi.org/10.5194/npg-29-37-2022
Mollenhauer, Mattes ; Klus, Stefan ; Schütte, Christof ; Koltai, Peter:
Kernel Autocovariance Operators of Stationary Processes : Estimation and Convergence.
In: Journal of Machine Learning Research.
Vol. 23
(2022)
Issue 327
.
- pp. 1-34.
ISSN 1533-7928
Maity, Priyanka ; Koltai, Peter ; Schumacher, Jörg:
Large-scale flow in a cubic Rayleigh-Bénard cell : long-term turbulence statistics and Markovianity of macrostate transitions.
In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
Vol. 380
(2022)
Issue 2225
.
- 20210042.
ISSN 1471-2962
DOI: https://doi.org/10.1098/rsta.2021.0042
Bittracher, Andreas ; Klus, Stefan ; Hamzi, Boumediene ; Koltai, Peter ; Schütte, Christof:
Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds.
In: Journal of Nonlinear Science.
Vol. 31
(2021)
.
- 3.
ISSN 1432-1467
DOI: https://doi.org/10.1007/s00332-020-09668-z
Wulkow, Niklas ; Koltai, Peter ; Schütte, Christof:
Memory-Based Reduced Modelling and Data-Based Estimation of Opinion Spreading.
In: Journal of Nonlinear Science.
Vol. 31
(2021)
.
- 19.
ISSN 1432-1467
DOI: https://doi.org/10.1007/s00332-020-09673-2
Nüske, Feliks ; Koltai, Peter ; Boninsegna, Lorenzo ; Clementi, Cecilia:
Spectral Properties of Effective Dynamics from Conditional Expectations.
In: Entropy.
Vol. 23
(2021)
Issue 2
.
- 134.
ISSN 1099-4300
DOI: https://doi.org/10.3390/e23020134
Helfmann, Luzie ; Heitzig, Jobst ; Koltai, Peter ; Kurths, Jürgen ; Schütte, Christof:
Statistical analysis of tipping pathways in agent-based models.
In: The European Physical Journal Special Topics.
Vol. 230
(2021)
.
- pp. 3249-3271.
ISSN 1951-6401
DOI: https://doi.org/10.1140/epjs/s11734-021-00191-0
Giulietti, Paolo ; Koltai, Peter ; Vaienti, Sandro:
Targets and holes.
In: Proceedings of the American Mathematical Society.
Vol. 149
(2021)
Issue 8
.
- pp. 3293-3306.
ISSN 1088-6826
DOI: https://doi.org/10.1090/proc/15384
Koltai, Peter ; von Lindheim, Johannes ; Neumayer, Sebastian ; Steidl, Gabriele:
Transfer operators from optimal transport plans for coherent set detection.
In: Physica D: Nonlinear Phenomena.
Vol. 426
(2021)
.
- 132980.
ISSN 0167-2789
DOI: https://doi.org/10.1016/j.physd.2021.132980
Miron, Philippe ; Beron-Vera, Francisco J. ; Helfmann, Luzie ; Koltai, Peter:
Transition paths of marine debris and the stability of the garbage patches.
In: Chaos : An Interdisciplinary Journal of Nonlinear Science.
Vol. 31
(2021)
Issue 3
.
- 033101.
ISSN 1089-7682
DOI: https://doi.org/10.1063/5.0030535
Froyland, Gary ; Koltai, Peter ; Stahn, Martin:
Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration.
In: SIAM Journal on Applied Dynamical Systems.
Vol. 19
(2020)
Issue 3
.
- pp. 1659-1700.
ISSN 1536-0040
DOI: https://doi.org/10.1137/19M1261791
Koltai, Peter ; Weiss, Stephan:
Diffusion maps embedding and transition matrix analysis of the large-scale flow structure in turbulent Rayleigh-Bénard convection.
In: Nonlinearity.
Vol. 33
(2020)
Issue 4
.
- 1723.
ISSN 1361-6544
DOI: https://doi.org/10.1088/1361-6544/ab6a76
Banisch, Ralf ; Trstanova, Zofia ; Bittracher, Andreas ; Klus, Stefan ; Koltai, Peter:
Diffusion maps tailored to arbitrary non-degenerate Itô processes.
In: Applied and Computational Harmonic Analysis.
Vol. 48
(2020)
Issue 1
.
- pp. 242-265.
ISSN 1096-603X
DOI: https://doi.org/10.1016/j.acha.2018.05.001
Helfmann, Luzie ; Ribera Borrell, Enric ; Schütte, Christof ; Koltai, Peter:
Extending Transition Path Theory : Periodically Driven and Finite-Time Dynamics.
In: Journal of Nonlinear Science.
Vol. 30
(2020)
.
- pp. 3321-3366.
ISSN 1432-1467
DOI: https://doi.org/10.1007/s00332-020-09652-7
Fackeldey, Konstantin ; Koltai, Peter ; Névir, Peter ; Rust, Henning ; Schild, Axel ; Weber, Marcus:
From metastable to coherent sets : Time-discretization schemes.
In: Chaos : An Interdisciplinary Journal of Nonlinear Science.
Vol. 29
(2019)
Issue 1
.
- 012101.
ISSN 1089-7682
DOI: https://doi.org/10.1063/1.5058128
Koltai, Peter ; Lie, Han Cheng ; Plonka, Martin:
Fréchet differentiable drift dependence of Perron–Frobenius and Koopman operators for non-deterministic dynamics.
In: Nonlinearity.
Vol. 32
(2019)
Issue 11
.
- pp. 4232-4257.
ISSN 1361-6544
DOI: https://doi.org/10.1088/1361-6544/ab1f2a
Schneide, Christiane ; Stahn, Martin ; Pandey, Ambrish ; Junge, Oliver ; Koltai, Peter ; Padberg-Gehle, Kathrin ; Schumacher, Jörg:
Lagrangian coherent sets in turbulent Rayleigh-Bénard convection.
In: Physical Review E.
Vol. 100
(2019)
Issue 5
.
- 053103.
ISSN 2470-0053
DOI: https://doi.org/10.1103/PhysRevE.100.053103
Miron, Philippe ; Beron-Vera, Francisco J. ; Olascoaga, Maria J. ; Koltai, Peter:
Markov-chain-inspired search for MH370.
In: Chaos : An Interdisciplinary Journal of Nonlinear Science.
Vol. 29
(2019)
Issue 4
.
- 041105.
ISSN 1089-7682
DOI: https://doi.org/10.1063/1.5092132
Banisch, Ralf ; Koltai, Peter ; Padberg-Gehle, Kathrin:
Network measures of mixing.
In: Chaos : An Interdisciplinary Journal of Nonlinear Science.
Vol. 29
(2019)
Issue 6
.
- 063125.
ISSN 1089-7682
DOI: https://doi.org/10.1063/1.5087632
Klus, Stefan ; Nüske, Feliks ; Koltai, Peter ; Wu, Hao ; Kevrekidis, Ioannis ; Schütte, Christof ; Noé, Frank:
Data-driven model reduction and transfer operator approximation.
In: Journal of Nonlinear Science.
Vol. 28
(2018)
Issue 3
.
- pp. 985-1010.
ISSN 1432-1467
DOI: https://doi.org/10.1007/s00332-017-9437-7
Koltai, Peter ; Renger, D. R. Michiel:
From Large Deviations to Semidistances of Transport and Mixing : Coherence Analysis for Finite Lagrangian Data.
In: Journal of Nonlinear Science.
Vol. 28
(2018)
.
- pp. 1915-1957.
ISSN 1432-1467
DOI: https://doi.org/10.1007/s00332-018-9471-0
Koltai, Peter ; Schütte, Christof:
A Multiscale Perturbation Expansion Approach for Markov State Modeling of Nonstationary Molecular Dynamics.
In: Multiscale Modeling & Simulation.
Vol. 16
(2018)
Issue 4
.
- pp. 1455-1485.
ISSN 1540-3467
DOI: https://doi.org/10.1137/17M1146403
Koltai, Peter ; Wu, Hao ; Noé, Frank ; Schütte, Christof:
Optimal Data-Driven Estimation of Generalized Markov State Models for Non-Equilibrium Dynamics.
In: Computation.
Vol. 6
(2018)
Issue 1
.
- 22.
ISSN 2079-3197
DOI: https://doi.org/10.3390/computation6010022
Bittracher, Andreas ; Koltai, Peter ; Klus, Stefan ; Banisch, Ralf ; Dellnitz, Michael ; Schütte, Christof:
Transition Manifolds of Complex Metastable Systems.
In: Journal of Nonlinear Science.
Vol. 28
(2018)
.
- pp. 471-512.
ISSN 1432-1467
DOI: https://doi.org/10.1007/s00332-017-9415-0
Froyland, Gary ; Koltai, Peter:
Estimating long-term behavior of periodically driven flows without trajectory integration.
In: Nonlinearity.
Vol. 30
(2017)
Issue 5
.
- pp. 1948-1986.
ISSN 1361-6544
DOI: https://doi.org/10.1088/1361-6544/aa6693
Banisch, Ralf ; Koltai, Peter:
Understanding the geometry of transport : Diffusion maps for Lagrangian trajectory data unravel coherent sets.
In: Chaos : An Interdisciplinary Journal of Nonlinear Science.
Vol. 27
(2017)
Issue 3
.
- 035804.
ISSN 1089-7682
DOI: https://doi.org/10.1063/1.4971788
Wu, Hao ; Nüske, Feliks ; Paul, Fabian ; Klus, Stefan ; Koltai, Peter ; Noé, Frank:
Variational Koopman models : Slow collective variables and molecular kinetics from short off-equilibrium simulations.
In: The Journal of Chemical Physics.
Vol. 146
(2017)
Issue 15
.
- 154104.
ISSN 0021-9606
DOI: https://doi.org/10.1063/1.4979344
Koltai, Peter ; Ciccotti, Giovanni ; Schütte, Christof:
On metastability and Markov state models for non-stationary molecular dynamics.
In: The Journal of Chemical Physics.
Vol. 145
(2016)
Issue 17
.
- 174103.
ISSN 0021-9606
DOI: https://doi.org/10.1063/1.4966157
Klus, Stefan ; Koltai, Peter ; Schütte, Christof:
On the numerical approximation of the Perron-Frobenius and Koopman operator.
In: Journal of Computational Dynamics.
Vol. 3
(2016)
Issue 1
.
- pp. 51-79.
ISSN 2158-2491
DOI: https://doi.org/10.3934/jcd.2016003
Bittracher, Andreas ; Hartmann, Carsten ; Junge, Oliver ; Koltai, Peter:
Pseudo generators for under-resolved molecular dynamics.
In: The European Physical Journal Special Topics.
Vol. 224
(2015)
Issue 12
.
- pp. 2463-2490.
ISSN 1951-6401
DOI: https://doi.org/10.1140/epjst/e2015-02422-y
Bittracher, Andreas ; Koltai, Peter ; Junge, Oliver:
Pseudogenerators of Spatial Transfer Operators.
In: SIAM Journal on Applied Dynamical Systems.
Vol. 14
(2015)
Issue 3
.
- pp. 1478-1517.
ISSN 1536-0040
DOI: https://doi.org/10.1137/14099872X
Koltai, Peter ; Junge, Oliver:
Optimal value functions for weakly coupled systems : a posteriori estimates.
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik.
Vol. 94
(2014)
Issue 4
.
- pp. 345-355.
ISSN 1521-4001
DOI: https://doi.org/10.1002/zamm.201100138
Koltai, Peter ; Volf, Alexander:
Optimizing the stable behavior of parameter-dependent dynamical systems : maximal domains of attraction, minimal absorption times.
In: Journal of Computational Dynamics.
Vol. 1
(2014)
Issue 2
.
- pp. 339-356.
ISSN 2158-2491
DOI: https://doi.org/10.3934/jcd.2014.1.339
Froyland, Gary ; Junge, Oliver ; Koltai, Peter:
Estimating long term behavior of flows without trajectory integration : the infinitesimal generator approach.
In: SIAM Journal on Numerical Analysis.
Vol. 51
(2013)
Issue 1
.
- pp. 223-247.
ISSN 1095-7170
DOI: https://doi.org/10.1137/110819986
Koltai, Peter:
A stochastic approach for computing the domain of attraction without trajectory simulation.
In: Conference Publications / American Institute of Mathematical Sciences.
(2011)
.
- pp. 854-863.
DOI: https://doi.org/10.3934/proc.2011.2011.854
Junge, Oliver ; Koltai, Peter:
Discretization of the Frobenius-Perron Operator Using a Sparse Haar Tensor Basis : The Sparse Ulam Method.
In: SIAM Journal on Numerical Analysis.
Vol. 47
(2009)
Issue 5
.
- pp. 3464-3485.
ISSN 1095-7170
DOI: https://doi.org/10.1137/080716864
Friesecke, Gero ; Junge, Oliver ; Koltai, Peter:
Mean Field Approximation in Conformation Dynamics.
In: Multiscale Modeling & Simulation.
Vol. 8
(2009)
Issue 1
.
- pp. 254-268.
ISSN 1540-3467
DOI: https://doi.org/10.1137/080745262
Article in a book
Grüne, Lars ; Hirche, Sandra ; Junge, Oliver ; Koltai, Peter ; Lehmann, Daniel ; Lunze, Jan ; Molin, Adam ; Sailer, Rudolf ; Sigurani, Manuela ; Stöcker, Christian ; Wirth, Fabian:
Event-based control.
In:
Lunze, Jan (ed.): Control theory of digitally networked dynamic systems. -
Cham
: Springer
,
2014
. - pp. 169-261
ISBN 978-3-319-01130-1
DOI: https://doi.org/10.1007/978-3-319-01131-8_5
Koltai, Peter ; Junge, Oliver:
Quantized nonlinear feedback design by a split dynamic programming approach.
In:
MTNS 2014 : the 21st International Symposium on Mathematical Theory of Networks and Systems ; Proceedings. -
Groningen, The Netherlands
: University of Groningen
,
2014
ISBN 978-90-367-6321-9
Preprint, postprint
Atnip, Jason ; Froyland, Gary ; Koltai, Peter:
An inflated dynamic Laplacian to track the emergence and disappearance of semi-material coherent sets.
arXiv
,
2024
Froyland, Gary ; Kalia, Manu ; Koltai, Peter:
Spectral clustering of time-evolving networks using the inflated dynamic Laplacian for graphs.
arXiv
,
2024
DOI: https://doi.org/10.48550/arXiv.2409.11984
de Diego Unanue, Alvaro ; Froyland, Gary ; Junge, Oliver ; Koltai, Peter:
A dynamic p-Laplacian.
arXiv
,
2023
DOI: https://doi.org/10.48550/arXiv.2308.05947
Wulkow, Niklas ; Koltai, Peter ; Sunkara, Vikram ; Schütte, Christof:
Data-driven modelling of nonlinear dynamics by barycentric coordinates and memory.
arXiv
,
2021
. - 33 p.
DOI: https://doi.org/10.48550/arXiv.2112.06742
von Lindheim, Johannes ; Harikrishnan, Abhishek ; Dörffel, Tom ; Klein, Rupert ; Koltai, Peter ; Mikula, Natalia ; Müller, Annette ; Névir, Peter ; Pacey, George ; Polzin, Robert ; Vercauteren, Nikki:
Definition, detection, and tracking of persistent structures in atmospheric flows.
arXiv
,
2021
. - 64 p.
DOI: https://doi.org/10.48550/arXiv.2111.13645
Mollenhauer, Mattes ; Koltai, Peter:
Nonparametric approximation of conditional expectation operators.
arXiv
,
2020
. - 37 p.
DOI: https://doi.org/10.48550/arXiv.2012.12917
Gerlach, Raphael ; Koltai, Peter ; Dellnitz, Michael:
Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems.
arXiv
,
2019
. - 22 p.
DOI: https://doi.org/10.48550/arXiv.1902.08824
Koltai, Peter:
Split optimal policy iteration for LQR problems.
arXiv
,
2014
. - 14 p.
DOI: https://doi.org/10.48550/arXiv.1404.5209
Koltai, Peter:
Discrete infinitesimal generator of the Frobenius-Perron operator semigroup associated with "outflow systems".
arXiv
,
2011
. - 4 p.
DOI: https://doi.org/10.48550/arXiv.1103.0530
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