The orbital equivalence of Bernoulli actions and their Sinai factors

2020/05/06 by Kosloff, Zemer, Soo, Terry
#37A20 #37A35 #37A40 #60G09 #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2005.02812

Abstract

Given a countable amenable group G and 0 < L < 1, we give an elementary construction of a type-III:L Bernoulli group action. In the case where G is the integers, we show that our nonsingular Bernoulli shifts have independent and identically distributed factors.

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