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arXiv · 2603.14599

Continuity of asymptotic entropy on free solvable groups

Eduardo Silva
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Abstract

We prove the continuity of asymptotic entropy, as a function of the step distribution, among non-degenerate probability measures with finite Shannon entropy on the free solvable group $S_{d,m}$ of rank $d\ge 3$ and derived length $m\ge 2$.

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Eduardo Silva. 2026-03-15. Continuity of asymptotic entropy on free solvable groups. https://arxiv.org/abs/2603.14599

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