Showing papers by "Lai Sang Young published in 2000"
Journal Article•
TL;DR: In this article, Henon maps for which the analysis in [BC2] applies are considered and sets with good hyperbolic properties and nice return structures are constructed and their return time functions are shown to have...
Abstract: Henon maps for which the analysis in [BC2] applies are considered. Sets with good hyperbolic properties and nice return structures are constructed and their return time functions are shown to have ...
131 citations
01 Jan 2000
TL;DR: Recently developed techniques for general dynamical systems with some hyperbolic behavior are discussed in this article, which give exponential decay of correlations for many classes of billiards and open the door to further investigations.
Abstract: We discuss rigorous results and open problems on the decay of correlations for dynamical systems characterized by elastic collisions: hard balls, Lorentz gases, Sinai billiards and related models. Recently developed techniques for general dynamical systems with some hyperbolic behavior are discussed. These techniques give exponential decay of correlations for many classes of billiards and open the door to further investigations.
91 citations