267 citations · 1.1k across the 40 of their papers we have counts for
44 papers
Structure theory of functions and finite perimeter sets on Riemannian manifolds
Péter Koltai, Kathrin Völkner
We develop the theory of functions of bounded variation and the structure theory of finite-perimeter sets on arbitrary Riemannian manifolds without relying on global curvature boun…
A dynamic -Laplacian
Alvaro de Diego Unanue, Gary Froyland, Oliver Junge +1
We generalise the dynamic Laplacian introduced in (Froyland, 2015) to a dynamic -Laplacian, in analogy to the generalisation of the standard -Laplacian to the standard -La…
Coherent set identification via direct low rank maximum likelihood estimation
Robert Polzin, Ilja Klebanov, Nikolas Nüsken +1
We analyze connections between two low rank modeling approaches from the last decade for treating dynamical data. The first one is the coherence problem (or coherent set approach),…
A Koopman-Takens theorem: Linear least squares prediction of nonlinear time series
Péter Koltai, Philipp Kunde
The least squares linear filter, also called the Wiener filter, is a popular tool to predict the next element(s) of time series by linear combination of time-delayed observations.…
Continuous-time extensions of discrete-time cocycles
Robin Chemnitz, Maximilian Engel, Péter Koltai
We consider linear cocycles taking values in driven by homeomorphic transformations of a smooth manifold, in discrete and continuous time. We show that…
Collective variables between large-scale states in turbulent convection
Priyanka Maity, Andreas Bittracher, Péter Koltai +1
The dynamics in a confined turbulent convection flow is dominated by multiple long-lived macroscopic circulation states, which are visited subsequently by the system in a Markov-ty…