HR job title
- Professor
- Contact Info
- 1 979 845 2450
Nekrashevych, Volodymyr Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
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).
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).
- Overview
- Publications
- Research
- Teaching
- Works By Students
- Background
- Contact
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Overview
Publications
selected publications
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academic article
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Nekrashevych, V.
(2020).
Substitutional subshifts and growth of groups
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Chornyi, M., Juschenko, K., & Nekrashevych, V.
(2020).
On topological full groups of Z(d)-actions. Groups, Geometry, and Dynamics.
14(1), 61-79.
-
Nekrashevych, V.
(2020).
Locally connected Smale spaces, pinched spectrum, and infra-nilmanifolds. Advances in Mathematics.
374, 107385-107385.
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Nekrashevych, V.
(2019).
Simple groups of dynamical origin. Ergodic Theory and Dynamical Systems.
39(3), 707-732.
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Nekrashevych, V.
(2018).
Palindromic subshifts and simple periodic groups of intermediate growth. Annals of Mathematics.
187(3), 667-719.
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Nekrashevych, V.
(2018).
Book Review: Metric geometry of locally compact groups. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
56(1), 165-169.
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Artamonov, V., Artemovych, O., Bahturin, Y. u., Banakh, T., Bartholdi, L., Bezushchak, O., ... Zhuchok, Y. u.
(2017).
Vitaliy Sushchansky. Algebra and Discrete Mathematics.
23(2), C-F.
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Juschenko, K., Nekrashevych, V., & de la Salle, M.
(2016).
Extensions of amenable groups by recurrent groupoids. 206(3), 837-867.
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Grigorchuk, R., Leonov, Y., Nekrashevych, V., & Sushchansky, V.
(2016).
Self-similar groups, automatic sequences, and unitriangular representations. Bulletin of Mathematical Sciences.
6(2), 231-285.
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Nekrashevych, V.
(2016).
Growth of etale groupoids and simple algebras. 26(2), 375-397.
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Nekrashevych, V.
(2016).
MATING, PAPER FOLDING, AND AN ENDOMORPHISM OF PC2. 20(14), 303-358.
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Nekrashevych, V.
(2015).
Hyperbolic groupoids and duality. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY.
237(1122), 0-0.
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Grigorchuk, R., Nekrashevych, V., & Sunic, Z.
(2015).
From Self-Similar Groups to Self-Similar Sets and Spectra. Progress in Probability.
70, 175-207.
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Nekrashevych, V.
(2014).
Combinatorial models of expanding dynamical systems. Ergodic Theory and Dynamical Systems.
34(3), 938-985.
-
Nekrashevych, V.
(2014).
AN UNCOUNTABLE FAMILY OF 3-GENERATED GROUPS WITH ISOMORPHIC PROFINITE COMPLETIONS. 24(1), 33-46.
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Nekrashevych, V.
(2014).
Hyperbolic groupoids: metric and measure. Groups, Geometry, and Dynamics.
8(3), 883-932.
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Nekrashevych, V.
(2013).
Finitely presented groups associated with expanding maps
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Nekrashevych, V.
(2013).
Book Review: How groups grow. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
50(3), 495-502.
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Anosov, D., Bartholdi, L., Bufetov, A., Ceccherini-Silberstein, T., Erschler, A., Gromov, M., ... Zelmanov, E.
(2013).
ROSTISLAV IVANOVICH GRIGORCHUK. MOSCOW MATHEMATICAL JOURNAL.
13(4), 733-734.
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Nekrashevych, V.
(2012).
THE JULIA SET OF A POST-CRITICALLY FINITE ENDOMORPHISM OF PC2. 6(3), 327-375.
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Bondarenko, I., Ceccherini-Silberstein, T., Donno, A., & Nekrashevych, V.
(2012).
On a family of Schreier graphs of intermediate growth associated with a self-similar group. European Journal of Combinatorics.
33(7), 1408-1421.
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Nekrashevych, V.
(2011).
Book Review: Words: notes on verbal width in groups. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
48(3), 491-494.
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Nekrashevych, V.
(2011).
Iterated monodromy groups. 41-93.
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Nekrashevych, V., & Pete, G.
(2011).
Scale-invariant groups. 5(1), 139-167.
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Bartholdi, L., Kaimanovich, V. A., & Nekrashevych, V. V.
(2010).
On amenability of automata groups. DUKE MATHEMATICAL JOURNAL.
154(3), 575-598.
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Nekrashevych, V.
(2010).
A GROUP OF NON-UNIFORM EXPONENTIAL GROWTH LOCALLY ISOMORPHIC TO IMG(z(2) + i). Transactions of the American Mathematical Society.
362(1), 389-398.
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Nekrashevych, V.
(2010).
Free subgroups in groups acting on rooted trees. Groups, Geometry, and Dynamics.
4(4), 847-862.
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Nekrashevych, V.
(2009).
C*-algebras and self-similar groups. 630(630), 59-123.
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Bondarenko, I., Grigorchuk, R., Kravchenko, R., Muntyan, Y., Nekrashevych, V., Savchuk, D., & uni, Z.
(2009).
Groups generated by 3-state automata over a 2-letter alphabet. II. 156(1), 187-208.
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Bondarenko, I., Grigorchuk, R., Kravchenko, R., Muntyan, Y., Nekrashevych, V., Savchuk, D., & uni, Z.
(2009).
Groups generated by 3-state automata over a 2-letter alphabet. ii. Journal of Mathematical Sciences: a translation of selected Russian-language serial publications in mathematics.
156(1), 187-208.
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Bondarenko, I., Grigorchuk, R., Kravchenko, R., Muntyan, Y., Nekrashevych, V., Savchuk, D., & Sunic, Z.
(2008).
Classification of groups generated by 3-state automata over a 2-letter alphabet
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Bartholdi, L., & Nekrashevych, V.
(2008).
Iterated monodromy groups of quadratic polynomials, I. Groups, Geometry, and Dynamics.
309-336.
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Grigorchuk, R., & Nekrashevych, V.
(2007).
Self-similar groups, operator algebras and Schur complement. 1(3), 323-370.
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Lavrenyuk, Y., & Nekrashevych, V.
(2007).
On classification of inductive limits of direct products of alternating groups. Journal of London Mathematical Society.
75(1), 146-162.
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Grigorchuk, R., & Nekrashevych, V.
(2007).
Amenable actions of nonamenable groups. Journal of Mathematical Sciences: a translation of selected Russian-language serial publications in mathematics.
140(3), 391-397.
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Nekrashevych, V.
(2007).
Self-similar groups and their geometry. Sao Paulo Journal of Mathematical Sciences.
1(1), 41-41.
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Nekrashevych, V.
(2006).
Self-similar inverse semigroups and Smale spaces. 16(5), 849-874.
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Bartholdi, L., Henriques, A. G., & Nekrashevych, V. V.
(2006).
Automata, groups, limit spaces, and tilings. Journal of Algebra.
305(2), 629-663.
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Bartholdi, L., & Nekrashevych, V.
(2006).
Thurston equivalence of topological polynomials. Acta Mathematica.
197(1), 1-51.
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Sushchanski, V. I., Moko, E., & Nekrashevych, V. V.
(2006).
Cycles of distance-decreasing mappings in the ring of n-adic integers. Colloquium Mathematicum.
105(2), 197-205.
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Nekrashevych, V. V.
(2004).
Cuntz-pimsner algebras of group actions. Journal of Operator Theory.
52(2), 223-249.
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Lavreniuk, Y., & Nekrashevych, V.
(2002).
Rigidity of Branch Groups Acting on Rooted Trees. Geometriae Dedicata.
89(1), 155-175.
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Lavreniuk, Y., & Nekrashevych, V.
(2002).
Rigidity of branch groups acting on rooted trees. Geometriae Dedicata.
89(1), 159-179.
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GAWRON, P. W., NEKRASHEVYCH, V. V., & SUSHCHANSKY, V. I.
(2001).
CONJUGATION IN TREE AUTOMORPHISM GROUPS. International Journal of Algebra and Computation.
11(05), 529-547.
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Nekrashevych, V.
(2000).
Stabilizers of transitive actions on locally finite graphs. 10(5), 591-602.
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Grigorchuk, R. I., & Nekrashevich, V. V.
(2000).
The group of asynchronous automata and rational homeomorphisms of the cantor set. 67(5), 577-581.
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Bondarenko, I., & Nekrashevych, V.
Post-critically finite self-similar groups
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Nekrashevych, V.
(2020).
Substitutional subshifts and growth of groups
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book
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Nekrashevych, V.
(2005).
Self-Similar Groups. Ed. 117.
American Mathematical Society (AMS).
-
Nekrashevych, V.
(2005).
Self-Similar Groups. Ed. 117.
American Mathematical Society (AMS).
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chapter
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Nekrashevych, V.
(2009).
Combinatorics of Polynomial Iterations. Complex Dynamics.
(pp. 169-214).
Taylor & Francis.
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Nekrashevych, V.
(2009).
Combinatorics of polynomial iterations volodymyr nekrashevych. Complex Dynamics: Families and Friends.
(pp. 169-214).
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Nekrashevych, V., & Sidki, S.
(2004).
Automorphisms of the binary tree: state-closed subgroups and dynamics of 1/2-endomorphisms. Groups.
(pp. 375-404).
Cambridge University Press (CUP).
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Bartholdi, L., Grigorchuk, R., & Nekrashevych, V.
(2003).
From fractal groups to fractal sets. Grabner, P., & Woess, W. (Eds.),
Fractals in Graz 2001.
(pp. 25-118).
Springer Nature.
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Nekrashevych, V. V., & Sushchansky, V. I.
(2000).
On Confinal Dynamics of Rooted Tree Automorphisms. Robertson, E., Howie, J., Atkinson, M., Gilbert, N., & Linton, S. (Eds.),
Computational and Geometric Aspects of Modern Algebra.
(pp. 229-245).
Cambridge University Press (CUP).
-
Nekrashevych, V.
(2009).
Combinatorics of Polynomial Iterations. Complex Dynamics.
(pp. 169-214).
Taylor & Francis.
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conference paper
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Nekrashevych, V., & Teplyaev, A.
(2008).
Groups and analysis on fractals. 143-+.
-
Nekrashevych, V.
(2008).
Symbolic Dynamics and Self-similar Groups. Fields Institute Communications.
25-73.
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Nekrashevych, V.
(2007).
A minimal Cantor set in the space of 3-generated groups. Geometriae Dedicata.
153-190.
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Nekrashevych, V., & Teplyaev, A.
(2008).
Groups and analysis on fractals. 143-+.
Research
principal investigator on
co-principal investigator on
- Conference: Geometric and Probabilistic Methods in Group Theory and Dynamical Systems awarded by National Science Foundation - (Arlington, Virginia, United States) 2015 - 2016
- Geometric and Probabilistic Methods in Group Theory and Dynamical Systems awarded by National Security Agency - (Fort George Meade, Maryland, United States) 2015 - 2016
Teaching
teaching activities
- MATH304 Hnr-linear Algebra Instructor
- MATH304 Linear Algebra Instructor
- MATH308 Differential Equations Instructor
- MATH309 Linear Alg For Diff Eq Instructor
- MATH323 Hnr-linear Algebra Instructor
- MATH367 Basic Concepts Of Geom Instructor
- MATH411 Math Probability Instructor
- MATH415 Modern Algebra I Instructor
- MATH416 Modern Algebra Ii Instructor
- MATH491 Hnr-research Instructor
- MATH614 Dynamical Systems Instructor
- MATH636 Topology I Instructor
- MATH647 Math Modelling Instructor
- MATH653 Algebra I Instructor
- MATH654 Algebra Ii Instructor
- MATH662 Seminar In Algebra Instructor
- MATH685 Directed Studies Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
-
Muntyan, Yevgen (2010-01). Automata groups.
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Savchuk, Dmytro M. (2010-01). Asymptotic, Algorithmic and Geometric Aspects of Groups Generated by Automata.
Background
education and training
- Ph.D., Taras Shevchenko National University of Kyiv - (Kiev, Ukraine) 1998
- M.S. in Mathematics, Taras Shevchenko National University of Kyiv - (Kiev, Ukraine) 1997
- Taras Shevchenko National University of Kyiv - (Kiev, Ukraine) , Postdoctoral Training 2006
awards and honors
Contact
first name
- Volodymyr
has last name
- Nekrashevych
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- nekrash@tamu.edu