36 citations · 193 across the 49 of their papers we have counts for
42 papers · 1 filter
Entropy for actions of free groups under bounded orbit-equivalence
Lewis Bowen, Yuqing Frank Lin
The -invariant is a notion of entropy for probability-measure-preserving actions of free groups. We show it is invariant under bounded orbit-equivalence.
A topological dynamical system with two different positive sofic entropies
Dylan Airey, Lewis Bowen, Frank Lin
A sofic approximation to a countable group is a sequence of partial actions on finite sets that asymptotically approximates the action of the group on itself by left-translations.…
Failure of the pointwise ergodic theorem for
Lewis Bowen, Peter Burton
Amos Nevo established the pointwise ergodic theorem in for measure-preserving actions of on probability spaces with respect to ball averages and…
Sofic homological invariants and the Weak Pinsker Property
Lewis Bowen
A probability-measure-preserving transformation has the Weak Pinsker Property (WPP) if for every it is measurably conjugate to the direct product of a transformation with ent…
Superrigidity, measure equivalence, and weak Pinsker entropy
Lewis Bowen, Robin Tucker-Drob
We show that the class , of discrete groups which satisfy the conclusion of Popa's Cocycle Superrigidity Theorem for Bernoulli actions, is invariant under measure equi…
A brief introduction to sofic entropy theory
Lewis Bowen
Sofic entropy theory is a generalization of the classical Kolmogorov-Sinai entropy theory to actions of large class of non-amenable groups called sofic groups. This is a short intr…