4 citations · 9 across the 10 of their papers we have counts for
5 papers · 1 filter
Completely positive entropy actions of sofic groups with in their center
Peter Burton
Let be a sofic group with a copy of in its center. We construct an uncountable family of pairwise nonisomorphic measure-preserving actions with completely posi…
A quotient-like construction involving elementary submodels
Peter Burton
This article is an investigation of a method of deriving a topology from a space and an elementary submodel containing it. We first define and give the basic properties of this con…
Naive entropy of dynamical systems
Peter Burton
We study an invariant of dynamical systems called naive entropy, which is defined for both measurable and topological actions of any countable group. We focus on nonamenable groups…
A topological semigroup structure on the space of actions modulo weak equivalence
Peter Burton
We introduce a topology on the space of actions modulo weak equivalence finer than the one previously studied in the literature. We show that the product of actions is a continuous…
Topology and convexity in the space of actions modulo weak equivalence
Peter Burton
We analyse the structure of the quotient of the space of measure-preserving actions of a countable discrete group by the relation of weak equivalence. This…