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math.GR2026
Stationary boundaries on the space of amenable subgroups and C*-simplicity
Anna Cascioli, Martín 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{am}…
math.GR2025
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…