Dispersing Billiards with Moving Scatterers

Mikko Stenlund, Lai Sang Young, Hongkun Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

We propose a model of Sinai billiards with moving scatterers, in which the locations and shapes of the scatterers may change by small amounts between collisions. Our main result is the exponential loss of memory of initial data at uniform rates, and our proof consists of a coupling argument for non-stationary compositions of maps similar to classical billiard maps. This can be seen as a prototypical result on the statistical properties of time-dependent dynamical systems.

Original languageEnglish (US)
Pages (from-to)909-955
Number of pages47
JournalCommunications In Mathematical Physics
Volume322
Issue number3
DOIs
StatePublished - Sep 2013

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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