3 citations · 3 across the 6 of their papers we have counts for
6 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…
Effective estimates of ergodic quantities illustrated on the Bolyai-Rényi map
Mark Pollicott, Julia Slipantschuk
We present a practical and effective method for rigorously estimating quantities associated to top eigenvalues of transfer operators to very high precision. The method combines exp…
EDMD for expanding circle maps and their complex perturbations
Oscar F. Bandtlow, Wolfram Just, Julia Slipantschuk
We show that spectral data of the Koopman operator arising from an analytic expanding circle map can be effectively calculated using an EDMD-type algorithm combining a collocat…
Sierpiński fractals and the dimension of their Laplacian spectrum
Mark Pollicott, Julia Slipantschuk
We estabish rigorous estimates for the Hausdorff dimension of the spectra of Laplacians associated to Sierpiński lattices and infinite Sierpiński gaskets and other post-critically…