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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 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).

Banisch, R. and Trstanova, Z. and Bittracher, A. and Klus, S. and Koltai, P. (2020) Diffusion maps tailored to arbitrary non-degenerate Ito processes. Applied and computational harmonic analysis, 48 (1). pp. 242-265. ISSN 1063-5203, 1096-603X

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.

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Detring, Carola and Müller, Annette and Schielicke, Lisa and Névir, Peter and Rust, Henning W. (2021) Occurrence and transition probabilities of omega and high-over-low blocking in the Euro-Atlantic region. Weather Clim. Dynamics, 2 . pp. 927-952.

Detring, Carola and Müller, Annette and Schielicke, Lisa and Névir, Peter and Rust, Henning W. (2020) Atmospheric blocking types: Frequencies and transitions. European Geosiences Union . pp. 1-33. (Submitted)

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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.

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.

Fackeldey, K. and Koltai, P. and Névir, P. and Rust, H.W. and Schild, A and Weber, M. (2019) From Metastable to Coherent Sets – time-discretization schemes. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29 (1). 012101. ISSN 1054-1500 (print); 1089-7682 (online)

Fischer, M. and Ulbrich, U. and Rust, H.W. (2017) A spatial and seasonal climatology of extreme precipitation return-levels: A case study. Spatial Statistics . pp. 1-25. (In Press)

Fischer, M. and Rust, H.W. and Ulbrich, U. (2016) Seasonal Cycle in German Daily Precipitation Extremes. Meteorologische Zeitschrift . pp. 1-11. ISSN 0941-2948 (Submitted)

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Giulietti, P. and Koltai, P. and Vaienti, S. (2021) Targets and holes. Proc. Amer. Math. Soc., 149 . pp. 3293-3306.

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Hittmeir, S. and Klein, R. and Müller, A. and Névir, P. (2021) The Dynamic State Index with Moisture and Phase Changes. J. Math. Phys, 62 (12). pp. 1-12.

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)

Horenko, I. and Gerber, S. and O'Kane, T.J. and Risbey, J.S. and Monselesan, D.P. (2017) On inference and validation of causality relations in climate teleconnections. In: Nonlinear and Stochastic Climate Dynamics. Cambridge University Press, pp. 184-208. ISBN 9781107118140

Hirt, M. and Schielicke, L. and Müller, A. and Névir, P. (2017) Statistical and dynamical analyses of atmospheric blocking with an idealized point vortex model. Tellus A . pp. 1-22. (Submitted)

Horenko, I. and Gerber, S. (2015) Improving clustering by imposing network information. Science Advances, 1 (7). ISSN 2375-2548

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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.

Koltai, P. and Lie, Han Cheng and Plonka, M. (2019) Fréchet differentiable drift dependence of Perron--Frobenius and Koopman operators for non-deterministic dynamics. Nonlinearity, 32 (11). pp. 4232-4257. ISSN 0951-7715

Koltai, P. and Renger, M. (2018) From Large Deviations to Semidistances of Transport and Mixing: Coherence Analysis for Finite Lagrangian Data. Journal of Nonlinear Science, 28 (5). pp. 1915-1957. ISSN 1432-1467 (online)

Koltai, P. and Schütte, Ch. (2018) A multiscale perturbation expansion approach for Markov state modeling of non-stationary molecular dynamics. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 16 (4). pp. 1455-1485. ISSN 1540-3459

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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.

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)

Müller, Annette and Névir, Peter (2021) On the algebra and groups of incompressible vortex dynamics. Journal of Physics A: Mathematical and Theoretical, 54 . pp. 1-34.

Miron, P. and Beron-Vera, F.J. and Helfmann, L. and Koltai, P. (2021) Transition paths of marine debris and the stability of the garbage patches. Chaos, 31 . pp. 1-16.

Müller, Annette and Niedrich, Benjamin and Névir, Peter (2020) Three-dimensional potential vorticity structures for extreme precipitation events on the convective scale. Tellus A: Dynamic Meteorology and Oceanography, 72 (1). pp. 1-20. ISSN (Print) (Online) Journal homepage: https://www.tandfonline.com/loi/zela20

Müller, Annette and Névir, Peter (2019) Using the concept of the Dynamic State Index for a scale-dependent analysis of atmospheric blocking. Meteorologische Zeitschrift, 28 (6). pp. 487-498.

Miron, P. and Beron-Vera, F.J. and Olascoaga, M.J. and Koltai, P. (2019) Markov-chain-inspired search for MH370. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29 (4). ISSN 1054-1500 (print); 1089-7682 (online)

Müller, A. and Névir, P. and Klein, R. (2018) Scale Dependent Analytical Investigation of the Dynamic State Index Concerning the Quasi-Geostrophic Theory. Mathematics of Climate and Weather Forecasting, 4 (1). pp. 1-22. ISSN 2353-6438 (online)

Mazza, E. and Ulbrich, U. and Klein, R. (2017) The Tropical Transition of the October 1996 Medicane in the Western Mediterranean Sea: A Warm Seclusion Event. Monthly Weather Review, 145 . pp. 2575-2595. ISSN Online: 1520-0493 Print: 0027-0644

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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.

Nissen, K.M. and Ulbrich, U. (2017) Increasing frequencies and changing characteristics of heavy precipitation events threatening infrastructure in Europe under climate change. Nat. Hazards Earth Syst. Sci., 17 . pp. 1177-1190.

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O'Kane, T.J. and Monselesan, D.P. and Risbey, J.S. and Horenko, I. and Franzke, Ch.L.E. (2017) On memory, dimension, and atmospheric teleconnection patterns. Math. Clim. Weather Forecast, 3 (1). pp. 1-27.

O’Kane, T.J. and Risbey, J.S. and Monselesan, D.P. and Horenko, I. and Franzke, Ch.L.E. (2015) On the dynamics of persistent states and their secular trends in the waveguides of the Southern Hemisphere troposphere. Climate Dynamics . ISSN Print: 0930-7575, Online: 1432-0894

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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 .

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)

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.

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Ritschel, C. and Rust, H.W. and Ulbrich, U. (2017) Precipitation extremes on multiple time scales -- Bartlett-Lewis Rectangular Pulse Model and Intensity-Duration-Frequency curves. Hydrol. Earth Syst. Sci. . pp. 1-20. (Submitted)

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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)