Examples of exponentially many collisions in a hard ball system

Dmitri Burago, Sergei Ivanov

Research output: Contribution to journalArticlepeer-review

Abstract

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

Original languageEnglish (US)
Pages (from-to)2754-2769
Number of pages16
JournalErgodic Theory and Dynamical Systems
Volume41
Issue number9
DOIs
StatePublished - Sep 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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