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math.DS2021
Full realization of ergodic IRS entropy in SL2(Z) and free groups
Liran Ron-George, Ariel Yadin
We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n>2, where…
math.DS2017★ 4 cited
Furstenberg Entropy of Intersectional Invariant Random Subgroups
Yair Hartman, Ariel Yadin
We study the Furstenberg-entropy realization problem for stationary actions. It is shown that for finitely supported probability measures on free groups, any a-priori possible entr…