# overview
I have research interests in Group theory (groups generated by nite automata, self-similar and branch groups; hyperbolic groups);

Dynamical systems (hyperbolic dynamics; holomorphic dynamics; groups, inverse semigroups and groupoids acting on the Cantor set); Operator algebras (algebras associated to self-similar group actions, hyperbolic dynamical systems and tilings).

# keywords[]
4903 Numerical And Computational Mathematics

# educationAndTraining[].organization.label
Taras Shevchenko National University of Kyiv - (Kiev, Ukraine)

# educationAndTraining[].organization.label
Taras Shevchenko National University of Kyiv - (Kiev, Ukraine)

# educationAndTraining[].organization.label
Taras Shevchenko National University of Kyiv - (Kiev, Ukraine)

# publications[].label
THE JULIA SET OF A POST-CRITICALLY FINITE ENDOMORPHISM OF PC2

# publications[].publisher
American Institute of Mathematical Sciences (AIMS)

# publications[].publisher
Universidade de Sao Paulo, Agencia USP de Gestao da Informacao Academica (AGUIA)

# publications[].label
Automorphisms of the binary tree: state-closed subgroups and dynamics of 1/2-endomorphisms

# publications[].label
Rigidity of Branch Groups Acting on Rooted Trees

# publications[].label
Stabilizers of transitive actions on locally finite graphs

# publications[].label
On a family of Schreier graphs of intermediate growth associated with a self-similar group

# publications[].label
Groups generated by 3-state automata over a 2-letter alphabet. II

# publications[].label
Thurston equivalence of topological polynomials

# publications[].label
Cycles of distance-decreasing mappings in the ring of n-adic integers

# publications[].publisher
Institute of Mathematics, Polish Academy of Sciences

# publications[].label
Substitutional subshifts and growth of groups

# publications[].label
Palindromic subshifts and simple periodic groups of intermediate growth

# publications[].label
Extensions of amenable groups by recurrent groupoids

# publications[].label
Self-similar inverse semigroups and Smale spaces

# publications[].publisher
European Mathematical Society - EMS - Publishing House GmbH

# publications[].label
The group of asynchronous automata and rational homeomorphisms of the cantor set

# publications[].label
On Confinal Dynamics of Rooted Tree Automorphisms

# publications[].label
Hyperbolic groupoids: metric and measure

# publications[].publisher
European Mathematical Society - EMS - Publishing House GmbH

# publications[].label
MATING, PAPER FOLDING, AND AN ENDOMORPHISM OF PC2

# publications[].label
Symbolic Dynamics and Self-similar Groups

# publications[].label
From Self-Similar Groups to Self-Similar Sets and Spectra

# publications[].label
Finitely presented groups associated with expanding maps

# publications[].label
Self-similar groups, operator algebras and Schur complement

# publications[].publisher
American Institute of Mathematical Sciences (AIMS)

# publications[].label
Groups generated by 3-state automata over a 2-letter alphabet. ii

# publications[].label
On topological full groups of Z(d)-actions

# publications[].publisher
European Mathematical Society - EMS - Publishing House GmbH

# publications[].label
Free subgroups in groups acting on rooted trees

# publications[].publisher
European Mathematical Society - EMS - Publishing House GmbH

# publications[].label
A GROUP OF NON-UNIFORM EXPONENTIAL GROWTH LOCALLY ISOMORPHIC TO IMG(z(2) + i)

# publications[].label
Automata, groups, limit spaces, and tilings

# publications[].label
Book Review: Metric geometry of locally compact groups

# publications[].label
Rigidity of branch groups acting on rooted trees

# publications[].label
On classification of inductive limits of direct products of alternating groups

# publications[].label
AN UNCOUNTABLE FAMILY OF 3-GENERATED GROUPS WITH ISOMORPHIC PROFINITE COMPLETIONS

# publications[].label
Combinatorial models of expanding dynamical systems

# publications[].label
Growth of etale groupoids and simple algebras

# publications[].label
Locally connected Smale spaces, pinched spectrum, and infra-nilmanifolds

# publications[].label
Classification of groups generated by 3-state automata over a 2-letter   alphabet

# publications[].label
Book Review: Words: notes on verbal width in groups

# publications[].label
A minimal Cantor set in the space of 3-generated groups

# publications[].label
Iterated monodromy groups of quadratic polynomials, I

# publications[].publisher
European Mathematical Society - EMS - Publishing House GmbH

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
Geometric and Probabilistic Methods in Group Theory and Dynamical Systems

# researcherOn[].awardedBy.label
National Security Agency - (Fort George Meade, Maryland, United States)

# researcherOn[].label
Conference: Geometric and Probabilistic Methods in Group Theory and Dynamical Systems

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# streetAddress
Texas A&M University; Mathematics; 3368 TAMU

# etdChairOf[].label
Muntyan, Yevgen (2010-01). Automata groups. Doctoral Dissertation.

# etdChairOf[].label
Savchuk, Dmytro M. (2010-01). Asymptotic, Algorithmic and Geometric Aspects of Groups Generated by Automata. Doctoral Dissertation.