Inhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal Billiards
动力系统
2007-05-23 v2 数论
摘要
For a given rotation number we compute the Hausdorff dimension of the set of well approximable numbers. We use this result and an inhomogeneous version of Jarnik's theorem to show strong recurrence properties of the billiard flow in certain polygons
引用
@article{arxiv.math/0105150,
title = {Inhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal Billiards},
author = {Joerg Schmeling and Serge Troubetzkoy},
journal= {arXiv preprint arXiv:math/0105150},
year = {2007}
}
备注
13 pages, 1 figure