18 citations · 47 across the 13 of their papers we have counts for
5 papers · 1 filter
Borel complexity of sets of points with prescribed Birkhoff averages in Polish dynamical systems with a specification property
Konrad Deka, Steve Jackson, Dominik Kwietniak +1
We study the descriptive complexity of sets of points defined by placing restrictions on statistical behaviour of their orbits in dynamical systems on Polish spaces. A particular e…
Borel asymptotic dimension and hyperfinite equivalence relations
Clinton Conley, Steve Jackson, Andrew Marks +2
A long standing open problem in the theory of hyperfinite equivalence relations asks if the orbit equivalence relation generated by a Borel action of a countable amenable group is…
Borel complexity of sets of normal numbers via generic points in subshifts with specification
Dylan Airey, Steve Jackson, Dominik Kwietniak +1
We study the Borel complexity of sets of normal numbers in several numeration systems. Taking a dynamical point of view, we offer a unified treatment for continued fraction expansi…
Folner tilings for actions of amenable groups
Clinton T. Conley, Steve Jackson, David Kerr +3
We show that every probability-measure-preserving action of a countable amenable group G can be tiled, modulo a null set, using finitely many finite subsets of G ("shapes") with pr…
Group Colorings and Bernoulli Subflows
Su Gao, Steve Jackson, Brandon Seward
In this paper we study the dynamics of Bernoulli flows and their subflows over general countable groups from the symbolic and topological perspectives. We study free subflows (subf…