Hausdorff dimension of the second Grigorchuk group
arXiv:1910.14518
Abstract
We show that the Hausdorff dimension of the closure of the second Grigorchuk group is 43/128. Furthermore we establish that the second Grigorchuk group is super strongly fractal and that its automorphism group equals its normaliser in the full automorphism group of the tree.
9 pages, minor revisions