267 citations · 1.1k across the 40 of their papers we have counts for
4 papers · 1 filter
Transfer Operators from Optimal Transport Plans for Coherent Set Detection
Péter Koltai, Johannes von Lindheim, Sebastian Neumayer +1
The topic of this study lies in the intersection of two fields. One is related with analyzing transport phenomena in complicated flows.For this purpose, we use so-called coherent s…
Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach
Gary Froyland, Oliver Junge, Péter Koltai
The long-term distributions of trajectories of a flow are described by invariant densities, i.e. fixed points of an associated transfer operator. In addition, global slowly mixing…
Mean field approximation in conformation dynamics
Gero Friesecke, Oliver Junge, Péter Koltai
We propose a new approach to the transfer operator based analysis of the conformation dynamics of molecules. It is based on a statistical independence ansatz for the eigenfunctions…
Discretization of transfer operators using a sparse hierarchical tensor basis - the Sparse Ulam method
Oliver Junge, Peter Koltai
The global macroscopic behaviour of a dynamical system is encoded in the eigenfunctions of a certain transfer operator associated to it. For systems with low dimensional long term…