Projective Cones for Sequential Dispersing Billiards
Dynamical Systems
2023-07-05 v3
Abstract
We construct Birkhoff cones for dispersing billiards, which are contracted by the action of the transfer operator. This construction permits the study of statistical properties not only of regular dispersing billiards but also of sequential billiards (the billiard changes at each collision in a prescribed manner), open billiards (the dynamics exits some region or dies when hitting some obstacle) and many other examples. In particular, we include applications to chaotic scattering and the random Lorentz gas.
Keywords
Cite
@article{arxiv.2104.06947,
title = {Projective Cones for Sequential Dispersing Billiards},
author = {Mark F. Demers and Carlangelo Liverani},
journal= {arXiv preprint arXiv:2104.06947},
year = {2023}
}