Statistical properties of type D dispersing billiards

Abstract

<p style='text-indent:20px;'>We consider dispersing billiard tables whose boundary is piecewise smooth and the free flight function is unbounded. We also assume there are no cusps. Such billiard tables are called type D in the monograph of Chernov and Markarian [<xref ref-type="bibr" rid="b9">9</xref>]. For a class of non-degenerate type D dispersing billiards, we prove exponential decay of correlation and several other statistical properties.</p>