Regularity of Bunimovich’s stadia |
| |
Authors: | N Chernov H -K Zhang |
| |
Institution: | (1) Department of Mathematics, University of Alabama at Birmingharn, AL 35294, USA;(2) Department of Mathematics and Physics, North China Electric Power University, Baoding, Hebei, 071003, China |
| |
Abstract: | Stadia are popular models of chaotic billiards introduced by Bunimovich in 1974. They are analogous to dispersing billiards
due to Sinai, but their fundamental technical characteristics are quite different. Recently many new results were obtained
for various chaotic billiards, including sharp bounds on correlations and probabilistic limit theorems, and these results
require new, more powerful technical apparatus. We present that apparatus here, in the context of stadia, and prove “regularity”
properties.
|
| |
Keywords: | billiards stadium hyperbolicity chaos absolute continuity distortion bounds |
本文献已被 SpringerLink 等数据库收录! |
|