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Perturbed billiard systems, I. The ergodicity of the motion of a particle in a compound central field

Published online by Cambridge University Press:  22 January 2016

I. Kubo
I. Kubo*
Affiliation:
Nagoya University
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The ergodicity of classical dynamical systems which appear really in the statistical mechanics was discussed by Ya. G. Sinai [9]. He announced that the dynamical system of particles with central potential of special type in a rectangular box is ergodic. However no proofs have been given yet. Sinai [11] has given a proof of the ergodicity of a simple one-particle model which is called a Sinai billiard system.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 61 , July 1976 , pp. 1 - 57
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1976

References

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