On the Marked Length Spectrums of Generic Strictly Convex Billiard Tables
Dynamical Systems
2018-02-21 v2 Symplectic Geometry
Abstract
In this paper we show that for a generic strictly convex domain, one can recover the eigendata corresponding to Aubry-Mather periodic orbits of the induced billiard map, from the (maximal) marked length spectrum of the domain.
Keywords
Cite
@article{arxiv.1603.08838,
title = {On the Marked Length Spectrums of Generic Strictly Convex Billiard Tables},
author = {Guan Huang and Vadim Kaloshin and Alfonso Sorrentino},
journal= {arXiv preprint arXiv:1603.08838},
year = {2018}
}
Comments
25 pages, 3 figures. (This version has been revised in the light of the referee's report). arXiv admin note: text overlap with arXiv:1309.1008