40 citations · 130 across the 31 of their papers we have counts for
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Metric Approximations of Wreath Products
Ben Hayes, Andrew Sale
Given the large class of groups already known to be sofic, there is seemingly a shortfall in results concerning their permanence properties. We address this problem for wreath prod…
Relative entropy and the Pinsker product formula for sofic groups
Ben Hayes
We continue our study of the outer Pinsker factor for probability measure-preserving actions of sofic groups. Using the notion of doubly quenched convergence developed by Austin, w…
Local and doubly empirical convergence and the entropy of algebraic actions of sofic Groups
Ben Hayes
Let G be a sofic group and X a compact group that G acts on by automorphisms. Using (and reformulating) the notion of doubly-quenched convergence developed by Austin, we show that…
The Wreath Product of Two Sofic Groups is Sofic
Ben Hayes, Andrew Sale
Given sofic approximations for countable, discrete groups , we construct a sofic approximation for their wreath product .