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Dispersing billiards with moving scatterers

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arxiv 1210.0011 v4 pith:NS76YQDN submitted 2012-09-28 math.DS math-phmath.MP

Mikko Stenlund , Lai-Sang Young , Hongkun Zhang This is my paper · ORCID
classification math.DSmath-phmath.MP
keywords scatterersbilliardsmapsmovingresultamountsargumentbilliard
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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.

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