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Full realization of ergodic IRS entropy in SL2(Z) and free groups
Published 18 Jun 2021 in math.DS, math.GR, and math.PR | (2106.10172v2)
Abstract: 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 only the trivial entropy values can be realized by ergodic IRSs.
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