267 citations · 1.1k across the 40 of their papers we have counts for
5 papers · 1 filter
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…