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Perturbed billiard systems II. Bernoulli properties

Published online by Cambridge University Press:  22 January 2016

Izumi Kubo  and
Hiroshi Murata
Izumi Kubo
Affiliation:
Nagoya University Hiroshima University
Hiroshi Murata
Affiliation:
Nagoya University Hiroshima University
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One of the authors has shown the ergodicity of the perturbed billiard system which can describe the motion of a particle in a potential field of a special type [5], [6]. Since then, some development has been made, and we are now able to show the Bernoulli property of the system in this article. We hope, the result gives a new progress in statistical mechanics. Our method of the proof is inspired by the idea of D. S. Ornstein and B. Weiss [9], which has been used by G. Gallavotti and D. S. Ornstein [3] for a Sinai billiard system.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 81 , March 1981 , pp. 1 - 25
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

References

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