Self-similar groups (groups generated by automata) appeared initially as examples of
groups that are easy to define but that enjoy exotic properties like nontrivial torsion …

Abstract We study Cuntz-Pimsner algebras naturally associated with self-similar groups (like
iterated monodromy groups of expanding dynamical systems). In particular, we show how to …

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 canonically identify the groups of isometries and dilations of local fields and their rings of
integers with subgroups of the automorphism group of the $(d+ 1) $-regular tree $\widetilde …

Inspired by the Basilica group B, we describe a general construction which allows us to
associate to any group of automorphisms G Ä Aut. T/of a rooted tree T a family of Basilica …

This is a survey, and a condensed version, of a series of articles on the algorithmic study of
Thurston maps. We describe branched coverings of the sphere in terms of group-theoretical …

We study in detail the profinite group G arising as geometric\'etale iterated monodromy
group of an arbitrary quadratic polynomial over a field of characteristic different from two …

For a composition $ f= f_1\circ\cdots\circ f_r $ of polynomials $ f_i\in\mathbb Q [x] $ of
degrees $ d_i\geq 5$ with alternating or symmetric monodromy group, we show that the …

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

One fundamental theorem in the theory of holomorphic dynamics is Thurston's topological
characterization of postcritically finite rational maps. Its proof is a beautiful application of …