5 papers
Stationary boundaries on the space of amenable subgroups and C*-simplicity
Anna Cascioli, MartÃn Gilabert Vio, Eduardo Silva
We give a sufficient condition for a countable group to possess a probability measure that admits a non-trivial -boundary modeled in the space $\mathrm{Sub}_{\mathrm{a…
Continuity of asymptotic entropy on wreath products
Eduardo Silva
We prove the continuity of asymptotic entropy as a function of the step distribution for non-degenerate probability measures with finite entropy on wreath products $ A \wr B = \big…
The Poisson boundary of wreath products
Joshua Frisch, Eduardo Silva
We give a complete description of the Poisson boundary of wreath products of countable groups and , for probability measures with fin…
The CLT for lamplighter groups with an acylindrically hyperbolic base
Maksym Chaudkhari, Christian Gorski, Eduardo Silva
We prove a Central Limit Theorem for the drift of a non-elementary random walk with a finite exponential moment on a wreath product with a non…
The Poisson boundary of Thompson's group is not the circle
MartÃn Gilabert Vio, Cosmas Kravaris, Eduardo Silva
Let be a nondegenerate probability measure with finite entropy on a countable group of orientation-preserving homeomorphisms of the circle actin…