21 citations · 105 across the 17 of their papers we have counts for
4 papers · 1 filter
Bernoulli shifts with bases of equal entropy are isomorphic
Brandon Seward
We prove that if is a countably infinite group and and are probability spaces having equal Shannon entropy, then the Bernoulli shifts $G \curvearrowright (L^G…
The Koopman representation and positive Rokhlin entropy
Brandon Seward
In a prior paper, the author generalized the classical factor theorem of Sinai to actions of arbitrary countably infinite groups. In the present paper, we use this theorem and the…
Positive entropy actions of countable groups factor onto Bernoulli shifts
Brandon Seward
We prove that if a free ergodic action of a countably infinite group has positive Rokhlin entropy (or, less generally, positive sofic entropy) then it factors onto all Bernoulli sh…
Continuous Combinatorics of Abelian Group Actions
Su Gao, Steve Jackson, Edward Krohne +1
This paper develops techniques which are used to answer a number of questions in the theory of equivalence relations generated by continuous actions of abelian groups. The methods…