Peter C. M. Burton

collaborators

3 papers

math.GR2021

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.

math.GR2019

Flexible stability and nonsoficity

Lewis Bowen, Peter Burton

A sofic group $G$ is said to be flexibly stable if every sofic approximation to $G$ can converted to a sequence of disjoint unions of Schreier graphs by modifying an asymptotically…

math.DS2019

Failure of the $L^{1}$ pointwise ergodic theorem for $PSL_{2} (R)$

Lewis Bowen, Peter Burton

Amos Nevo established the pointwise ergodic theorem in $L^{p}$ for measure-preserving actions of $PSL_{2} (R)$ on probability spaces with respect to ball averages and…

Locally compact sofic groups

Flexible stability and nonsoficity

Failure of the L1 pointwise ergodic theorem for PSL2​(R)

Failure of the $L^{1}$ pointwise ergodic theorem for $PSL_{2} (R)$