Nikolai Chernov, Hong-Kun Zhang
A family of chaotic billiards with variable mixing rates
(484K, Postscript)

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 $1/n^a$ (here $n$ denotes 
the discrete time), in which the degree $a \in (1, \infty)$ 
changes continuously with the parameter of the family, $\beta$. We 
also derive an explicit relation between the degree $a$ and the 
family parameter $\beta$.