87 citations · 170 across the 20 of their papers we have counts for
10 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…
Entropic transfer operators
Oliver Junge, Daniel Matthes, Bernhard Schmitzer
We propose a new concept for the regularization and discretization of transfer and Koopman operators in dynamical systems. Our approach is based on the entropically regularized opt…
Combinatorial models of global dynamics: learning cycling motion from data
Ulrich Bauer, David Hien, Oliver Junge +2
We describe a computational method for constructing a coarse combinatorial model of some dynamical system in which the macroscopic states are given by elementary cycling motions of…
Linear response for the dynamic Laplacian and finite-time coherent sets
Fadi Antown, Gary Froyland, Oliver Junge
Finite-time coherent sets represent minimally mixing objects in general nonlinear dynamics, and are spatially mobile features that are the most predictable in the medium term. When…
Higher-Order Finite Element Approximation of the Dynamic Laplacian
Nathanael Schilling, Gary Froyland, Oliver Junge
The dynamic Laplace operator arises from extending problems of isoperimetry from fixed manifolds to manifolds evolved by general nonlinear dynamics. Eigenfunctions of this operator…
Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories
Gary Froyland, Oliver Junge
Transport and mixing properties of aperiodic flows are crucial to a dynamical analysis of the flow, and often have to be carried out with limited information. Finite-time coherent…