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

Access to Document

10.1007/BF02102633

Cite this

@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 Yurii Suhov",

year = "1992",

month = may,

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",

}

TY - JOUR

T1 - Ergodic systems of n balls in a billiard table

AU - Bunimovich, Leonid

AU - Liverani, Carlangelo

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.

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

SN - 0010-3616

VL - 146

SP - 357

EP - 396

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

Access to Document

Other files and links

Fingerprint

Cite this