1 citations · 1 across the 1 of their papers we have counts for
5 papers
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…
Forcing constructions and countable Borel equivalence relations
Su Gao, Steve Jackson, Edward Krohne +1
We prove a number of results about countable Borel equivalence relations with forcing constructions and arguments. These results reveal hidden regularity properties of Borel comple…
Arbitrarily Large Residual Finiteness Growth
Khalid Bou-Rabee, Brandon Seward
The residual finiteness growth of a group quantifies how well approximated the group is by its finite quotients. In this paper, we construct groups with arbitrarily large residual…