Affiliation:
1. Department of Mathematics, University of Alabama at Birmingham, AL 35294-1170, USA
Abstract
We describe a one-parameter family of dispersing (hence hyperbolic, ergodic and mixing) billiards where the correlation function of the collision map decays as 1/na (here n denotes the discrete time), in which the degree a ∈ (1, ∞) changes continuously with the parameter of the family, β. We also derive an explicit relation between the degree a and the family parameter β.
Publisher
World Scientific Pub Co Pte Lt
Cited by
32 articles.
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