23 citations · 116 across the 20 of their papers we have counts for
22 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…
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…
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…
Resonances for rational Anosov maps on the torus
Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just
A complete description of resonances for rational toral Anosov diffeomorphisms preserving certain Reinhardt domains is presented. As a consequence it is shown that every homotopy c…
Softening of the Euler buckling criterion under discretisation of compliance
D. J. Carter, D. J. Dunstan, W. Just +2
Euler solved the problem of the collapse of tall thin columns under unexpectedly small loads in 1744. The analogous problem of the collapse of circular elastic rings or tubes under…
Quantitative spectral perturbation theory for compact operators on a Hilbert space
Ayse Guven, Oscar F. Bandtlow
We introduce compactness classes of Hilbert space operators by grouping together all operators for which the associated singular values decay at a certain speed and establish upper…