36 citations · 193 across the 49 of their papers we have counts for
6 papers · 1 filter
Entropy theory for sofic groupoids I: the foundations
Lewis Bowen
This is the first part in a series in which sofic entropy theory is generalized to class-bijective extensions of sofic groupoids. Here we define topological and measure entropy and…
The type and stable type of the boundary of a Gromov hyperbolic group
Lewis Bowen
Consider an ergodic non-singular action $Γ\cc B$ of a countable group on a probability space. The type of this action codes the asymptotic range of the Radon-Nikodym derivative, al…
A horospherical ratio ergodic theorem for actions of free groups
Lewis Bowen, Amos Nevo
We prove a ratio ergodic theorem for amenable equivalence relations satisfying a strong form of the Besicovich covering property. We then use this result to study general non-singu…
Corrigendum to "Nonabelian free group actions: Markov processes, the Abramov- Rohlin formula and Yuzvinskii's formula"
Lewis Bowen, Yonatan Gutman
We correct an error in the proof of the Rohlin-Abramov addition formula for free group actions and point out errors in the proof of Yuzvinskii's addition formula. It is not known i…
Invariant random subgroups of the lamplighter group
Lewis Bowen, Rostislav Grigorchuk, Rostyslav Kravchenko
Let be one of the lamplighter groups $({\mathbb{Z}/p\bz})^n\wr\mathbb{Z}$ and $\Sub(G)$ the space of all subgroups of . We determine the perfect kernel and Cantor-Bendixson…
Invariant random subgroups of the free group
Lewis Bowen
Let be a locally compact group. A random closed subgroup with conjugation-invariant law is called an {\em invariant random subgroup} or IRS for short. We show that each nonabel…