ERGODIC SYSTEMS OF N BALLS IN A BILLIARD TABLE

被引：53

作者：

BUNIMOVICH, L

LIVERANI, C

PELLEGRINOTTI, A

SUHOV, Y

机构：

[1] UNIV BIELEFELD,FAK PHYS,W-4800 BIELEFELD 1,GERMANY

[2] UNIV ROME 2,DEPT MATH,ROME,ITALY

[3] UNIV ROME 1,DEPT MATH,ROME,ITALY

[4] ACAD SCI USSR,INST PROBLEMS INFORMAT TRANSMISS,MOSCOW V-71,USSR

[5] UNIV CAMBRIDGE,DPMMS,STAT LAB,CAMBRIDGE CB2 1SB,ENGLAND

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 146卷 / 02期

关键词：

D O I：

10.1007/BF02102633

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：357 / 396

页数：40

共 32 条

[21]

KRYLOV NS, 1979, WORKS F STATISTICAL

[22]

LIVERANI C, ERGODICITY HAMILTONI

[23]

OSCELEDEC V, 1968, T MOSCOW MATH SOC, V19, P197

[24] INVARIANT FAMILIES OF CONES AND LYAPUNOV EXPONENTS [J].