On Estimates of the Number of Collisions for Billiards in Polyhedral Angles
Dynamical Systems
2007-05-23 v1
Abstract
We obtain an upper bound of the number of collisions of any billiard trajectory in a polyhedral angle in terms of the minimal eigenvalue of a positive definite matrix which characterizes the angle. Elements of the matrix are scalar products between the unit normal vectors of faces of the angle.
Keywords
Cite
@article{arxiv.math/0610257,
title = {On Estimates of the Number of Collisions for Billiards in Polyhedral Angles},
author = {Lizhou Chen},
journal= {arXiv preprint arXiv:math/0610257},
year = {2007}
}
Comments
6 pages