On the multiplicity of non-iterated periodic billiard trajectories
Dynamical Systems
2011-10-17 v3 Algebraic Topology
Abstract
We introduce the iteration theory for periodic billiard trajectories in a compact and convex domain of the Euclidean space, and we apply it to establish a multiplicity result for non-iterated trajectories.
Keywords
Cite
@article{arxiv.1012.5593,
title = {On the multiplicity of non-iterated periodic billiard trajectories},
author = {Marco Mazzucchelli},
journal= {arXiv preprint arXiv:1012.5593},
year = {2011}
}
Comments
21 pages, 2 figures; v3: final version, as published