Ergodic systems of n balls in a billiard table

Leonid Bunimovich; Carlangelo Liverani; Alessandro Pellegrinotti; Yurii Suhov

doi:10.1007/BF02102633

Ergodic systems of n balls in a billiard table

Leonid Bunimovich
, Carlangelo Liverani
, Alessandro Pellegrinotti
, Yurii Suhov

Mathematics

Research output: Contribution to journal › Article › peer-review

53 Scopus citations

Abstract

We consider the motion of n balls in billiard tables of a special form and we prove that the resulting dynamical systems are ergodic on a constant energy surface; in fact, they enjoy the K-property. These are the first systems of interacting particles proven to be ergodic for an arbitrary number of particles.

Original language	English (US)
Pages (from-to)	357-396
Number of pages	40
Journal	Communications In Mathematical Physics
Volume	146
Issue number	2
DOIs	https://doi.org/10.1007/BF02102633
State	Published - May 1992

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02102633

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title = "Ergodic systems of n balls in a billiard table",

abstract = "We consider the motion of n balls in billiard tables of a special form and we prove that the resulting dynamical systems are ergodic on a constant energy surface; in fact, they enjoy the K-property. These are the first systems of interacting particles proven to be ergodic for an arbitrary number of particles.",

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AU - Bunimovich, Leonid

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AU - Pellegrinotti, Alessandro

AU - Suhov, Yurii

PY - 1992/5

Y1 - 1992/5

N2 - We consider the motion of n balls in billiard tables of a special form and we prove that the resulting dynamical systems are ergodic on a constant energy surface; in fact, they enjoy the K-property. These are the first systems of interacting particles proven to be ergodic for an arbitrary number of particles.

AB - We consider the motion of n balls in billiard tables of a special form and we prove that the resulting dynamical systems are ergodic on a constant energy surface; in fact, they enjoy the K-property. These are the first systems of interacting particles proven to be ergodic for an arbitrary number of particles.

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JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 2

ER -

Ergodic systems of n balls in a billiard table

Abstract

All Science Journal Classification (ASJC) codes

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