Ergodic systems of n balls in a billiard table

Leonid Bunimovich, Carlangelo Liverani, Alessandro Pellegrinotti, Iouri M. Soukhov

Research output: Contribution to journalArticle

49 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)357-396
Number of pages40
JournalCommunications in Mathematical Physics
Volume146
Issue number2
DOIs
StatePublished - May 1 1992

Fingerprint

Billiards
balls
Table
Ball
Surface Energy
dynamical systems
surface energy
Tables
Dynamical system
Motion
Arbitrary
Form

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Bunimovich, Leonid ; Liverani, Carlangelo ; Pellegrinotti, Alessandro ; Soukhov, Iouri M. / Ergodic systems of n balls in a billiard table. In: Communications in Mathematical Physics. 1992 ; Vol. 146, No. 2. pp. 357-396.
@article{64250e52af1d442890bc1667c379bdf8,
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.",
author = "Leonid Bunimovich and Carlangelo Liverani and Alessandro Pellegrinotti and Soukhov, {Iouri M.}",
year = "1992",
month = "5",
day = "1",
doi = "10.1007/BF02102633",
language = "English (US)",
volume = "146",
pages = "357--396",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer New York",
number = "2",

}

Ergodic systems of n balls in a billiard table. / Bunimovich, Leonid; Liverani, Carlangelo; Pellegrinotti, Alessandro; Soukhov, Iouri M.

In: Communications in Mathematical Physics, Vol. 146, No. 2, 01.05.1992, p. 357-396.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Ergodic systems of n balls in a billiard table

AU - Bunimovich, Leonid

AU - Liverani, Carlangelo

AU - Pellegrinotti, Alessandro

AU - Soukhov, Iouri M.

PY - 1992/5/1

Y1 - 1992/5/1

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.

UR - http://www.scopus.com/inward/record.url?scp=0039423777&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039423777&partnerID=8YFLogxK

U2 - 10.1007/BF02102633

DO - 10.1007/BF02102633

M3 - Article

AN - SCOPUS:0039423777

VL - 146

SP - 357

EP - 396

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -