Repository: Freie Universität Berlin, Math Department

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Number of items: 37.

2024

Koltai, Péter and Kunde, Philipp (2024) A Koopman-Takens theorem: Linear least squares prediction of nonlinear time series. Preprint . (In Press)

Chemnitz, Robin and Engel, Maximilian and Koltai, Péter (2024) Extracting coherent sets in aperiodically driven flows from generators of Mather semigroups. Preprint . (Unpublished)

Atnip, Jason and Froyland, Gary and Koltai, Péter (2024) An inflated dynamic Laplacian to track the emergence and disappearance of semi-material coherent sets. Preprint . (Unpublished)

2023

Polzin, Robert and Klebanov, Ilja and Nüsken, Nikolas and Koltai, Péter (2023) Nonnegative matrix factorization for coherent set identification by direct low rank maximum likelihood estimation. arXiv . pp. 1-43. (Unpublished)

Unanue, Alvaro de Diego and Froyland, Gary and Junge, Oliver and Koltai, Péter (2023) A dynamic p-Laplacian. Preprint . (Unpublished)

Maity, Priyanka and Bittracher, Andreas and Koltai, Péter and Schumacher, Jörg (2023) Collective variables between large-scale states in turbulent convection. Physical Review Research, 5 (3).

Froyland, Gary and Koltai, Péter (2023) Detecting the birth and death of finite-time coherent sets. Communications on Pure and Applied Mathematics, 76 (12). pp. 3642-3684.

Chemnitz, Robin and Engel, Maximilian and Koltai, Péter (2023) Continuous-time extensions of discrete-time cocycles. Contemporary Mathematics . (In Press)

Bittracher, Andreas and Mollenhauer, Mattes and Koltai, Péter and Schütte, Christof (2023) Optimal Reaction Coordinates: Variational Characterization and Sparse Computation. Multiscale Modeling & Simulation, 21 (2). pp. 449-488.

Bittracher, Andreas and Mollenhauer, Mattes and Koltai, Péter and Schütte, Ch. (2023) Optimal Reaction Coordinates: Variational Characterization and Sparse Computation. Multiscale Modeling & Simulation, 21 (2). ISSN ISSN (print): 1540-3459 ISSN (online): 1540-3467

2022

Mollenhauer, Mattes and Klus, Stefan and Schütte, Christof and Koltai, Péter (2022) Kernel autocovariance operators of stationary processes: Estimation and convergence. Journal of Machine Learning Research, 23 (327). pp. 1-34.

Polzin, Robert and Müller, Annette and Rust, Henning W. and Névir, Peter and Koltai, Péter (2022) Direct Bayesian model reduction of smaller scale convective activity conditioned on large-scale dynamics. Nonlinear Processes in Geophysics, 29 (1). pp. 37-52.

von Lindheim, Johannes and Harikrishnan, A. P. and Dörffel, T. and Klein, R. and Koltai, Péter and Mikula, Natalia and Müller, Annette and Névir, Peter and Pacey, George and Polzin, Robert and Vercauteren, N. (2022) Definition, detection and trackingof persistent structures in atmospheric flows. J. Math. Phys . (Submitted)

2021

von Lindheim, Johannes and Harikrishnan, A. P. and Dörffel, T. and Ernst, Natalia and Klein, R. and Koltai, Péter and Müller, Annette and Pacey, George and Polzin, Robert and Vercauteren, N. (2021) Definition, detection and tracking of persistent structures in atmospheric flows. preprint. J. Math. Phys. . pp. 1-64. (In Press)

Bittracher, Andreas and Mollenhauer, Mattes and Koltai, Péter and Schütte, Christof (2021) Optimal Reaction Coordinates: Variational Characterization and Sparse Computation. ArXiv . pp. 1-36. (Submitted)

Maity, Priyanka and Koltai, Péter and Schumacher, Jörg (2021) Large-scale flow in a cubic Rayleigh-B ́enard cell: Long-term turbulence statistics and Markovianity of macrostate transitions. Philosophical Transaction of the Royal Society . pp. 1-13. (In Press)

Helfmann, Luzie and Heitzig, Jobst and Koltai, Péter and Kurths, Jürgen and Schütte, Ch. (2021) Statistical analysis of tipping pathways in agent-based models. The European Physical Journal Special Topics . ISSN 1951-6355

Nüske, Feliks and Koltai, Péter and Boninsegna, Lorenzo and Clementi, Cecilia (2021) Spectral Properties of Effective Dynamics from Conditional Expectations. Entropy, 23 (134). pp. 1-25.

Wulkow, Niklas and Koltai, Péter and Schütte, Ch. (2021) Memory-Based Reduced Modelling and Data-Based Estimation of Opinion Spreading. Journal of Nonlinear Science, 31 . ISSN 1432-1467 (online)

von Lindheim, Johannes and Harikrishnan, A. P. and Dörffel, Tom and Klein, Rupert and Koltai, Péter and Mikula, Natalia and Müller, Annette and Névir, Peter and Pacey, George and Polzin, Robert and Vercauteren, Nikki (2021) Definition, detection and tracking of persistent structures in atmospheric flows. arXiv J. Math. Phys . (Submitted)

Mollenhauer, Mattes and Koltai, Péter (2021) Nonparametric approximation of conditional expectation operators. arXiv . (Unpublished)

Koltai, Péter and von Lindheim, Johannes and Neumayer, Sebastian and Steidl, Gabriele (2021) Transfer Operators from Optimal Transport Plans for Coherent Set Detection. Physica D: Nonlinear Phenomena, 426 . pp. 1-34.

2020

Bittracher, Andreas and Klus, Stefan and Hamzi, Boumediene and Koltai, Péter and Schütte, Christof (2020) Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds. Journal of Nonlinear Science, 31 (3). pp. 1-41. ISSN 1432-1467 (online)

Bittracher, Andreas and Klus, Stefan and Hamzi, Boumediene and Koltai, Péter and Schütte, Christof (2020) Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds. Journal of Nonlinear Science, 31 (3).

Helfmann, Luzie and Ribera Borrell, Enric and Schütte, Christof and Koltai, Péter (2020) Extending Transition Path Theory: Periodically Driven and Finite-Time Dynamics. Journal of Nonlinear Science, 30 . pp. 3321-3366.

Helfmann, Luzie and Ribera Borrell, Enric and Schütte, Christof and Koltai, Péter (2020) Extending Transition Path Theory: Periodically Driven and Finite-Time Dynamics. Journal of Nonlinear Science . pp. 1-46. ISSN 1432-1467 (online)

Froyland, Gary and Koltai, Péter and Stahn, Martin (2020) Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration. SIAM J. APPLIED DYNAMICAL SYSTEMS, 19 (3). pp. 1659-1700.

Koltai, Péter and Weiss, Stephan (2020) Diffusion maps embedding and transition matrix analysis of the large-scale flow structure in turbulent Rayleigh-Bénard convection. Nonlinearity, 33 (4). p. 1723. ISSN 0951-7715

2019

Schneide, Ch. and Stahn, Martin and Pandey, A. and Junge, Oliver and Koltai, Péter and Padberg-Gehle, Kathrin and Schumacher, Jörg (2019) Lagrangian coherent sets in turbulent Rayleigh-Bénard convection. Physical Review E, 100 (053103).

Banisch, Ralf and Koltai, Péter and Padberg-Gehle, Kathrin (2019) Network measures of mixing. Chaos: An Interdisciplinary Journal of Nonlinear Science 29, 063125 (2019), 29 . pp. 1-16.

Banisch, Ralf and Koltai, Péter and Padberg-Gehle, Kathrin (2019) Network measures of mixing. Chaos 29, 29 . pp. 1-15.

2017

Banisch, Ralf and Koltai, Péter (2017) Understanding the geometry of transport: diffusion maps for Lagrangian trajectory data unravel coherent sets. Chaos: An Interdisciplinary Journal of Nonlinear Science, 23 (23). ISSN 1054-1500 (print); 1089-7682 (online) (Submitted)

Wu, H. and Nüske, F. and Paul, F. and Klus, S. and Koltai, Péter and Noé, F. (2017) Variational Koopman models: slow collective variables and molecular kinetics from short off-equilibrium simulations. J. Chem. Phys., 146 . p. 154104.

2015

Bittracher, Andreas and Hartmann, C. and Junge, O. and Koltai, Péter (2015) Pseudo generators for under-resolved molecular dynamics. The European Physical Journal Special Topics, 224 (12). pp. 2463-2490. ISSN 1951-6355

Bittracher, Andreas and Koltai, Péter and Junge, Oliver (2015) Pseudogenerators of spatial transfer operators. SIAM Journal on Applied Dynamical Systems, 14 (3). pp. 1478-1517. ISSN 1536-0040

2014

Koltai, Péter and Volf, Alexander (2014) Optimizing the stable behavior of parameter-dependent dynamical systems --- maximal domains of attraction, minimal absorption times. Journal of Computational Dynamics, 1 (2). pp. 339-356. ISSN 2158-2491

Koltai, Péter and Junge, Oliver (2014) Quantized nonlinear feedback design by a split dynamic programming approach. In: 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), Groningen (The Netherlands).

This list was generated on Wed Apr 17 05:34:50 2024 CEST.