87 citations · 170 across the 20 of their papers we have counts for
24 papers
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…
Heat-content and diffusive leakage from material sets in the low-diffusivity limit
Nathanael Schillling, Daniel Karrasch, Oliver Junge
We generalize leading-order asymptotics of a form of the heat content of a submanifold (van den Berg & Gilkey 2015) to the setting of time-dependent diffusion processes in the limi…
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…
A convergent Lagrangian discretization for -Wasserstein and flux-limited diffusion equations
Benjamin Söllner, Oliver Junge
We study a Lagrangian numerical scheme for solution of a nonlinear drift diffusion equation of the form on an inte…
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…