36 citations · 193 across the 49 of their papers we have counts for
67 papers
A phase transition for the hard sphere model on the hyperbolic plane
Lewis Bowen, Marcus Michelen, Will Perkins
The hard sphere model is a classical model from statistical physics in which particles are represented by equal-sized spheres. Longstanding predictions from the physics literature…
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.
Locally compact sofic groups
Lewis Bowen, Peter Burton
We introduce the notion of soficity for locally compact groups and list a number of open problems.
A multiplicative ergodic theorem for von Neumann algebra valued cocycles
Lewis Bowen, Ben Hayes, Yuqing +1
The classical Multiplicative Ergodic Theorem (MET) of Oseledets is generalized here to cocycles taking values in a semi-finite von Neumann algebra. This allows for a continuous Lya…
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.…
Flexible stability and nonsoficity
Lewis Bowen, Peter Burton
A sofic group is said to be flexibly stable if every sofic approximation to can converted to a sequence of disjoint unions of Schreier graphs by modifying an asymptotically…