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arXiv · 2502.09113

An algorithm to compute the Hausdorff dimension of regular branch groups

Jorge Fariña-Asategui
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Abstract

An explicit algorithm is given for the computation of the Hausdorff dimension of the closure of a regular branch group in terms of an arbitrary branch structure. We implement this algorithm in GAP and apply it to a family of GGS-groups acting on the 4-adic tree.

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Jorge Fariña-Asategui. 2025-02-13. An algorithm to compute the Hausdorff dimension of regular branch groups. https://doi.org/10.1016/j.jaca.2025.100037

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