Browse by Projects

2024

Polzin, Robert and Klebanov, Ilja and Nüsken, Nikolas and Koltai, Péter (2024) Coherent set identification via direct low rank maximum likelihood estimation. Journal of Nonlinear Science .

Chemnitz, Robin and Engel, Maximilian and Olicón-Mendez, Guillermo (2024) Random attractors on countable state spaces. Preprint arXiv . (Unpublished)

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 (Unpublished)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 (Unpublished)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

Engel, Maximilian and Olicón-Mendez, Guillermo (2023) A singular perturbation analysis for the Brusselator. Preprint . (Submitted)

Engel, Maximilian and Piliouras, Georgios (2023) A stochastic variant of replicator dynamics in zero-sum games and its invariant measures. Physica D: Nonlinear Phenomena, 456 .

Blumenthal, Alex and Engel, Maximilian and Neamţu, Alexandra (2023) On the pitchfork bifurcation for the Chafee-Infante equation with additive noise. Probability Theory and Related Fields, 187 . pp. 603-627.

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 (Unpublished)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 (Unpublished)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, Dennis and Engel, Maximilian (2023) Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise. Communications in Mathematical Physics, 402 . pp. 1807-1843.

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

Engel, Maximilian and Gottwald, Georg A. (2023) Canards in modified equations for Euler discretizations. Preprint to appear in Contemporary Mathematics . (In Press)

Engel, Maximilian and Olicon-Méndez, Guillermo (2023) Noise-induced instabilities in a stochastic Brusselator. Preprint to appear in Contemporary Mathematics . (In Press)

2022

Viennet, Akim and Vercauteren, Nikki and Engel, Maximilian and Faranda, Davide (2022) Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors. Chaos, 32 . pp. 1-15.

Engel, Maximilian and Olicon-Mendez, Guillermo and Unger, Nathalie and Winkelmann, Stefanie (2022) Synchronization and random attractors for reaction jump processes. in Press . pp. 1-39. (In Press)