24 citations · 31 across the 5 of their papers we have counts for
5 papers
Non-periodic not everywhere dense trajectories in triangular billiards
Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just
Building on tools that have been successfully used in the study of rational billiards, such as induced maps and interval exchange transformations, we provide a construction of a on…
Convergence properties of dynamic mode decomposition for analytic interval maps
Elliz Akindji, Julia Slipantschuk, Oscar F. Bandtlow +1
Extended dynamic mode decomposition (EDMD) is a data-driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin…
A numerical study of rigidity of hyperbolic splittings in simple two-dimensional maps
O. F. Bandtlow, W. Just, J. Slipantschuk
Chaotic hyperbolic dynamical systems enjoy a surprising degree of rigidity, a fact which is well known in the mathematics community but perhaps less so in theoretical physics circl…
Transfer operator approach to ray-tracing in circular domains
J Slipantschuk, M Richter, D J Chappell +3
The computation of wave-energy distributions in the mid-to-high frequency regime can be reduced to ray-tracing calculations. Solving the ray-tracing problem in terms of an operator…
Complete spectral data for analytic Anosov maps of the torus
Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just
Using analytic properties of Blaschke factors we construct a family of analytic hyperbolic diffeomorphisms of the torus for which the spectral properties of the associated transfer…