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Some factors of nonsingular Bernoulli shifts
Zemer Kosloff, Terry Soo
We give elementary constructions of factors of nonsingular Bernoulli shifts. In particular, we show that all nonsingular Bernoulli shifts on a finite number of symbols which satisf…
The orbital equivalence of Bernoulli actions and their Sinai factors
Zemer Kosloff, Terry Soo
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 n…
Finitary isomorphisms of Brownian motions
Zemer Kosloff, Terry Soo
Ornstein and Shields (Advances in Math., 10:143-146, 1973) proved that Brownian motion reflected on a bounded region is an infinite entropy Bernoulli flow and thus Ornstein theory…
Finitary isomorphisms of some infinite entropy Bernoulli flows
Terry Soo
A consequence of Ornstein theory is that the infinite entropy flows associated with Poisson processes and continuous-time irreducible Markov chains on a finite number of states are…