Examples of exponentially many collisions in a hard ball system

被引：5

作者：

Burago, Dmitri ^{[1
]}

Ivanov, Sergei ^{[2
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Russian Acad Sci, St Petersburg Dept Steklov Math Inst, Fontanka 27, St Petersburg 191023, Russia

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2021年 / 41卷 / 09期

关键词：

hard ball gas model; number of collisions; examples with many collisions; NUMBER;

D O I：

10.1017/etds.2020.54

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider the system of n identical hard balls in R-3 moving freely and colliding elastically. We show that there exist initial conditions such that the number of collisions is exponential in n.

引用

页码：2754 / 2769

页数：16

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