We describe a new class of groups of Burnside type, by giving a procedure transforming an
arbitrary non-free minimal action of the dihedral group on a Cantor set into an orbit …

This monograph is devoted to the study of the dynamics of expanding Thurston maps under
iteration. A Thurston map is a branched covering map on a two-dimensional topological …

We present a survey of results related to Milnor's problem on group growth. We discuss the
cases of polynomial growth and exponential but not uniformly exponential growth; the main …

We study asymptotic properties of chains of subgroups in residually finite groups using the
dynamics of boundary representations and the structure of periodic invariant measures on …

The topics of these notes are group-theoretical and combinatorial aspects of iteration of post-
critically finite polynomials, including topological polynomials and post-critically finite non …

GROUPS GENERATED BY BOUNDED AUTOMATA AND THEIR SCHREIER GRAPHS A
Dissertation by IEVGEN BONDARENKO Submitted to the Office of Gr Page 1 GROUPS …

We show that if a group G acting faithfully on a rooted tree T has a free subgroup, then either
there exists a point w of the boundary∂ T and a free subgroup of G with trivial stabilizer of w …

Branch groups, a class of groups defined through their action on a rooted tree, play an
important role in group theory, since they often possess rare properties that cannot be found …

Iterated monodromy groups Page 55 ITERATED MONODROMY GROUPS VOLODYMYR
NEKRASHEVYCH Department of Mathematics, Texas A&M University, College Station, TX …

The goal of this article is to study results and examples concerning finitely presented covers
of finitely generated amenable groups. We collect examples of groups G with the following …