Let Q_{a,h} be a convex region of the plane whose boundary consists of two semiellipses joined by two (straight) lines parallel to the major axis of the semiellipses (elliptical stadium). The axes of the semiellipses have length 2 and 2a,a>1, and the lines have length 2h. For and we give a complete proof of the following result: the billiard map in the elliptical stadium Q_{a,h} is ergodic, K-mixing and Bernoulli with respect to the natural billiard measure.
Bernoulli Elliptical Stadia
Magno, Gianluigi Del;
2003-01-01
Abstract
Let Q_{a,h} be a convex region of the plane whose boundary consists of two semiellipses joined by two (straight) lines parallel to the major axis of the semiellipses (elliptical stadium). The axes of the semiellipses have length 2 and 2a,a>1, and the lines have length 2h. For and we give a complete proof of the following result: the billiard map in the elliptical stadium Q_{a,h} is ergodic, K-mixing and Bernoulli with respect to the natural billiard measure.File in questo prodotto:
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