An algorithm to compute the Hausdorff dimension of regular branch groups
arXiv:2502.09113 · doi:10.1016/j.jaca.2025.100037
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.
7 pages