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

Izumi Kubo

Type: Article

Publication Date: 1976-07-01

Citations: 42

DOI: https://doi.org/10.1017/s0027763000017281

Abstract

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.

Locations

Nagoya Mathematical Journal - View - PDF
Project Euclid (Cornell University) - View - PDF

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+	ON A FUNDAMENTAL THEOREM IN THE THEORY OF DISPERSING BILLIARDS	1973	L A Bunimovič Ja. G. Sinaĭ
+	Induced measure preserving transformations	1943	Shizuo Kakutani
+	Dynamical systems with elastic reflections	1970	Yakov G. Sinai
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