Institutions of the University of Bayreuth
Chair Dynamical Systems and Data - Univ.-Prof. Dr. Peter Koltai

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Book / Monograph

Article in a journal

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.
DOI: https://doi.org/10.1090/bproc/209

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.
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) .
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.
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.
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.
DOI: https://doi.org/10.1103/PhysRevResearch.5.033061

Cseh, Ágnes ; Escamocher, Guillaume ; Quesada, Luis:
Computing relaxations for the three-dimensional stable matching problem with cyclic preferences.
In: Constraints. Vol. 28 (2023) . - pp. 138-165.
DOI: https://doi.org/10.1007/s10601-023-09346-3

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Kraiczy, Sonja ; Cseh, Ágnes ; Manlove, David:
On weakly and strongly popular rankings.
In: Discrete Applied Mathematics. Vol. 340 (2023) . - pp. 134-152.
DOI: https://doi.org/10.1016/j.dam.2023.06.041

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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.
DOI: https://doi.org/10.5194/npg-29-37-2022

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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.

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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.
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.
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.
DOI: https://doi.org/10.1007/s00332-020-09673-2

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Nüske, Feliks ; Koltai, Peter ; Boninsegna, Lorenzo ; Clementi, Cecilia:
Spectral Properties of Effective Dynamics from Conditional Expectations.
In: Entropy. Vol. 23 (2021) Issue 2 . - 134.
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.
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.
DOI: https://doi.org/10.1090/proc/15384

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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.
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.
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.
DOI: https://doi.org/10.1137/19M1261791

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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.
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.
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.
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.
DOI: https://doi.org/10.1088/1361-6544/ab1f2a

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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.
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.
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.
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.
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.
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.
DOI: https://doi.org/10.1137/17M1146403

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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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
DOI: https://doi.org/10.1002/zamm.201100138

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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.
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.
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

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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.
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.
DOI: https://doi.org/10.1137/080745262

Article in a book

Volltext
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
DOI: https://doi.org/10.1007/978-3-319-01131-8_5
Review:

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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

Preprint, postprint

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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

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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

This list was generated on Sun Apr 21 01:55:34 2024 CEST.
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