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3 papers · 1 filter
math.DS2008
Weak isomorphisms between Bernoulli shifts
Lewis Bowen
In this note, we prove that if G is a countable group that contains a nonabelian free subgroup then every pair of nontrivial Bernoulli shifts over G are weakly isomorphic.
math.DS2008★ 2 cited
Nonabelian free group actions: Markov processes, the Abramov-Rohlin formula and Yuzvinskii's formula
Lewis Bowen
This paper introduces Markov chains and processes over nonabelian free groups and semigroups. We prove a formula for the -invariant of a Markov chain over a free group in terms…
math.DS2008★ 4 cited
Measure conjugacy invariants for actions of countable sofic groups
Lewis Bowen
Sofic groups were defined implicitly by Gromov in [Gr99] and explicitly by Weiss in [We00]. All residually finite groups (and hence every linear group) is sofic. The purpose of thi…