11 citations · 24 across the 9 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.CO2017★ 4 cited
Trees and -Good Hypergraphs
Mark Budden, Andrew Penland
Trees fill many extremal roles in graph theory, being minimally connected and serving a critical role in the definition of -good graphs. In this article, we consider the general…
math.GR2017
Nearly Maximal Hausdorff Dimension in Finitely Constrained Groups
Andrew Penland
This work continues the study of the properties of finitely constrained groups of binary tree automorphisms in terms of their Hausdorff dimension. We prove that there are exactly $…
math.GR2017
A Language Hierarchy and Kitchens-Type Theorem for Self-Similar Groups
Andrew Penland, Zoran Šunić
We generalize the notion of self-similar groups of infinite tree automorphisms to allow for groups which are defined on a tree but do not act faithfully on it. The elements of such…