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math.DS 1

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Markov processes associated to fractal branch groups

math.DS · 2025-05-27 · conditional · novelty 7.0

For fractal branch profinite groups, the f-invariant of the associated dynamical system equals log|G1|-r_D(G), and groups with equal f and equal Hausdorff dimension yield isomorphic Markov processes over free semigroups.

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  • Markov processes associated to fractal branch groups math.DS · 2025-05-27 · conditional · none · ref 1

    For fractal branch profinite groups, the f-invariant of the associated dynamical system equals log|G1|-r_D(G), and groups with equal f and equal Hausdorff dimension yield isomorphic Markov processes over free semigroups.