P
Péter Koltai
Researcher at Free University of Berlin
Publications - 80
Citations - 1727
Péter Koltai is an academic researcher from Free University of Berlin. The author has contributed to research in topics: Dynamical systems theory & Transfer operator. The author has an hindex of 16, co-authored 75 publications receiving 1271 citations. Previous affiliations of Péter Koltai include Technische Universität München.
Papers
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Journal ArticleDOI
Data-driven model reduction and transfer operator approximation
Stefan Klus,Feliks Nüske,Péter Koltai,Hao Wu,Ioannis G. Kevrekidis,Ioannis G. Kevrekidis,Christof Schütte,Christof Schütte,Frank Noé +8 more
TL;DR: In this article, the authors present different data-driven dimension reduction techniques for dynamical systems that are based on transfer operator theory as well as methods to approximate transfer operators and their eigenvalues, eigenfunctions, and eigenmodes.
Journal ArticleDOI
On the numerical approximation of the Perron-Frobenius and Koopman operator
TL;DR: Different methods that have been developed over the last decades to compute finite-dimensional approximations of infinite-dimensional operators - e.g. Ulam's method and Extended Dynamic Mode Decomposition (EDMD) - are reviewed.
Journal ArticleDOI
On the numerical approximation of the Perron-Frobenius and Koopman operator
TL;DR: In this paper, the authors review different methods that have been developed over the last decades to compute finite-dimensional approximations of these infinite-dimensional operators, e.g. Ulam's method and Extended Dynamic Mode Decomposition (EDMD).
Book ChapterDOI
Event-Based Control
Lars Grüne,Sandra Hirche,Oliver Junge,Péter Koltai,Daniel Lehmann,Jan Lunze,Adam Molin,Rudolf Sailer,Manuela Sigurani,Christian Stöcker,Fabian Wirth +10 more
TL;DR: Event-based control is a control methodology that is currently being developed as a means to reduce the communication between the sensors, the controller and the actuators in a control loop.
Journal ArticleDOI
Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations
TL;DR: In this paper, the authors employ the Koopman operator theory and the ideas from dynamic mode decomposition to extend the variational approach conformation dynamics/molecular kinetics (VAC) and its special case the time-lagged independent component analysis (TICA) to non-equilibrium data.