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math.DS2024
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…
math.DS2024
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…