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## Savchuk, Dmytro M.

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 Author ID: savchuk.dmytro-m Published as: Savchuk, Dmytro; Savchuk, D.; Savchuk, Dmytro M.; Savchuk, D. M. Homepage: http://math.usf.edu/faculty/dsavchuk/
 Documents Indexed: 28 Publications since 1998, including 1 Book
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#### Co-Authors

 4 single-authored 8 Grigorchuk, Rostislav Ivanovich 4 Bondarenko, Ievgen V. 4 Muntyan, Yevgen 4 Nekrashevych, Volodymyr V. 4 Šunić, Zoran 3 Klimann, Ines 3 Picantin, Matthieu 3 Sabalka, Lucas 2 Ahmed, Elsayed A. 2 Braiman, V. 2 Kravchenko, Rostyslav V. 1 Bondarenko, Ye. V. 1 Kravchenko, Rostislav 1 Myasnikov, Alexei G. 1 Rudomino-Dusyatska, Nadiya 1 Shunych, Z. 1 Vorobets, Yaroslav
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#### Serials

 4 U Sviti Matematyky 2 Geometriae Dedicata 2 Journal of Algebra 2 International Journal of Algebra and Computation 2 Naukovyĭ Visnyk Chernivets’kogo Universytetu. Matematyka 2 Algebra and Discrete Mathematics 1 Communications in Algebra 1 Annals of Pure and Applied Logic 1 International Journal of Foundations of Computer Science 1 Journal of Mathematical Sciences (New York) 1 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 1 Journal of Algebra and its Applications 1 Lecture Notes in Computer Science 1 Proceedings of the Steklov Institute of Mathematics 1 Groups, Geometry, and Dynamics 1 São Paulo Journal of Mathematical Sciences
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#### Fields

 23 Group theory and generalizations (20-XX) 12 Computer science (68-XX) 6 Combinatorics (05-XX) 5 Dynamical systems and ergodic theory (37-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

18 Publications have been cited 94 times in 57 Documents Cited by Year
Automata generating free products of groups of order 2. Zbl 1239.20032
Savchuk, Dmytro; Vorobets, Yaroslav
2011
On classification of groups generated by 3-state automata over a 2-letter alphabet. Zbl 1164.20004
Bondarenko, Ievgen; Grigorchuk, Rostislav; Kravchenko, Rostislav; Muntyan, Yevgen; Nekrashevych, Volodymyr; Savchuk, Dmytro; Šunić, Zoran
2008
Self-similar groups acting essentially freely on the boundary of the binary rooted tree. Zbl 1308.20025
Grigorchuk, Rostislav; Savchuk, Dmytro
2014
A connected 3-state reversible Mealy automaton cannot generate an infinite Burnside group. Zbl 1386.68106
Klimann, Ines; Picantin, Matthieu; Savchuk, Dmytro
2015
Orbit automata as a new tool to attack the order problem in automaton groups. Zbl 1383.20018
Klimann, Ines; Picantin, Matthieu; Savchuk, Dmytro
2016
Schreier graphs of actions of Thompson’s group $$F$$ on the unit interval and on the Cantor set. Zbl 1309.05094
Savchuk, Dmytro
2015
Affine automorphisms of rooted trees. Zbl 1387.20021
Savchuk, Dmytro M.; Sidki, Said N.
2016
Groups generated by 3-state automata over a 2-letter alphabet. I. Zbl 1184.20026
Bondarenko, Ievgen; Grigorchuk, Rostislav; Kravchenko, Rostyslav; Muntyan, Yevgen; Nekrashevych, Volodymyr; Savchuk, Dmytro; Šunić, Zoran
2007
Some graphs related to Thompson’s group $$F$$. Zbl 1201.20039
Savchuk, Dmytro
2010
Ergodic decomposition of group actions on rooted trees. Zbl 1362.37013
Grigorchuk, Rostislav; Savchuk, Dmytro
2016
The spectral problem, substitutions and iterated monodromy. Zbl 1138.20025
Grigorchuk, Rostislav; Savchuk, Dmytro; Šunić, Zoran
2007
An example of an automatic graph of intermediate growth. Zbl 1322.68125
Miasnikov, Alexei; Savchuk, Dmytro
2015
On Sushchansky $$p$$-groups. Zbl 1164.20012
Bondarenko, Ievgen V.; Savchuk, Dmytro M.
2007
Groups generated by 3-state automata over a 2-letter alphabet. II. Zbl 1185.20029
Bondarenko, I.; Grigorchuk, R.; Kravchenko, R.; Muntyan, Y.; Nekrashevych, V.; Savchuk, D.; Šunić, Z.
2009
On the geometry of the edge splitting complex. Zbl 1341.20036
Sabalka, Lucas; Savchuk, Dmytro
2014
On the word problem in contracting automorphism groups of rooted trees. Zbl 1024.20033
Savchuk, Dmytro M.
2003
Erratum: On restricting subsets of bases in relatively free groups. Zbl 1276.20032
Sabalka, Lucas; Savchuk, Dmytro
2013
The lamplighter group of rank two generated by a bireversible automaton. Zbl 07072619
Ahmed, Elsayed; Savchuk, Dmytro
2019
The lamplighter group of rank two generated by a bireversible automaton. Zbl 07072619
Ahmed, Elsayed; Savchuk, Dmytro
2019
Orbit automata as a new tool to attack the order problem in automaton groups. Zbl 1383.20018
Klimann, Ines; Picantin, Matthieu; Savchuk, Dmytro
2016
Affine automorphisms of rooted trees. Zbl 1387.20021
Savchuk, Dmytro M.; Sidki, Said N.
2016
Ergodic decomposition of group actions on rooted trees. Zbl 1362.37013
Grigorchuk, Rostislav; Savchuk, Dmytro
2016
A connected 3-state reversible Mealy automaton cannot generate an infinite Burnside group. Zbl 1386.68106
Klimann, Ines; Picantin, Matthieu; Savchuk, Dmytro
2015
Schreier graphs of actions of Thompson’s group $$F$$ on the unit interval and on the Cantor set. Zbl 1309.05094
Savchuk, Dmytro
2015
An example of an automatic graph of intermediate growth. Zbl 1322.68125
Miasnikov, Alexei; Savchuk, Dmytro
2015
Self-similar groups acting essentially freely on the boundary of the binary rooted tree. Zbl 1308.20025
Grigorchuk, Rostislav; Savchuk, Dmytro
2014
On the geometry of the edge splitting complex. Zbl 1341.20036
Sabalka, Lucas; Savchuk, Dmytro
2014
Erratum: On restricting subsets of bases in relatively free groups. Zbl 1276.20032
Sabalka, Lucas; Savchuk, Dmytro
2013
Automata generating free products of groups of order 2. Zbl 1239.20032
Savchuk, Dmytro; Vorobets, Yaroslav
2011
Some graphs related to Thompson’s group $$F$$. Zbl 1201.20039
Savchuk, Dmytro
2010
Groups generated by 3-state automata over a 2-letter alphabet. II. Zbl 1185.20029
Bondarenko, I.; Grigorchuk, R.; Kravchenko, R.; Muntyan, Y.; Nekrashevych, V.; Savchuk, D.; Šunić, Z.
2009
On classification of groups generated by 3-state automata over a 2-letter alphabet. Zbl 1164.20004
Bondarenko, Ievgen; Grigorchuk, Rostislav; Kravchenko, Rostislav; Muntyan, Yevgen; Nekrashevych, Volodymyr; Savchuk, Dmytro; Šunić, Zoran
2008
Groups generated by 3-state automata over a 2-letter alphabet. I. Zbl 1184.20026
Bondarenko, Ievgen; Grigorchuk, Rostislav; Kravchenko, Rostyslav; Muntyan, Yevgen; Nekrashevych, Volodymyr; Savchuk, Dmytro; Šunić, Zoran
2007
The spectral problem, substitutions and iterated monodromy. Zbl 1138.20025
Grigorchuk, Rostislav; Savchuk, Dmytro; Šunić, Zoran
2007
On Sushchansky $$p$$-groups. Zbl 1164.20012
Bondarenko, Ievgen V.; Savchuk, Dmytro M.
2007
On the word problem in contracting automorphism groups of rooted trees. Zbl 1024.20033
Savchuk, Dmytro M.
2003
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#### Cited by 55 Authors

 9 Savchuk, Dmytro M. 8 Grigorchuk, Rostislav Ivanovich 8 Klimann, Ines 6 D’angeli, Daniele 6 Rodaro, Emanuele 5 Bondarenko, Ievgen V. 5 Picantin, Matthieu 4 Woryna, Adam 2 Ahmed, Elsayed A. 2 Bowen, Lewis Phylip 2 Creutz, Darren 2 Francoeur, Dominik 2 Godin, Thibault 2 Golan, Gili 2 Kravchenko, Rostyslav V. 2 Nekrashevych, Volodymyr V. 2 Skipper, Rachel 2 Šunić, Zoran 2 Wächter, Jan Philipp 1 Akhavi, Ali 1 Bartholdi, Laurent 1 Benli, Mustafa Gökhan 1 Berdinskiĭ, Dmitriĭ Aleksandrovich 1 Ceccherini-Silberstein, Tullio G. 1 Dantas, Alex Carrazedo 1 de la Harpe, Pierre 1 Donno, Alfredo 1 Garrido, Alejandra 1 Gelander, Tsachik 1 Gillibert, Pierre 1 Godillon, Sébastien 1 Handel, Michael 1 Jones, Rafe 1 Juschenko, Kate 1 Kapovich, Ilya 1 Le Boudec, Adrien 1 Lombardy, Sylvain 1 Mairesse, Jean 1 Malyshev, Anton Valentinovich 1 Matte Bon, Nicolás 1 Mitrofanov, Ivan V. 1 Mosher, Lee 1 Muntyan, Yevgen 1 Nagnibeda, Tatiana 1 Nowak, Piotr W. 1 Pak, Igor 1 Pandit, Suhas 1 Pérez, Aitor 1 Prokhorchuk, Veronika 1 Sapir, Mark Valentinovich 1 Staley, Daniel 1 Vogtmann, Karen 1 Vorobets, Yaroslav 1 Yang, Rongwei 1 Zaremsky, Matthew Curtis Burkholder
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#### Cited in 30 Serials

 8 Journal of Algebra 5 International Journal of Algebra and Computation 4 Geometriae Dedicata 4 Theoretical Computer Science 3 Transactions of the American Mathematical Society 3 Proceedings of the Steklov Institute of Mathematics 2 Communications in Algebra 2 European Journal of Combinatorics 2 Groups, Geometry, and Dynamics 2 Bulletin of Mathematical Sciences 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Inventiones Mathematicae 1 Semigroup Forum 1 Ergodic Theory and Dynamical Systems 1 Combinatorica 1 Information and Computation 1 International Journal of Foundations of Computer Science 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Topology Proceedings 1 Journal of Mathematical Sciences (New York) 1 Theory of Computing Systems 1 Geometry & Topology 1 Algebraic & Geometric Topology 1 Journal of Algebra and its Applications 1 Journal of Topology and Analysis 1 International Journal of Group Theory
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#### Cited in 16 Fields

 52 Group theory and generalizations (20-XX) 23 Computer science (68-XX) 13 Combinatorics (05-XX) 13 Dynamical systems and ergodic theory (37-XX) 4 Manifolds and cell complexes (57-XX) 3 Topological groups, Lie groups (22-XX) 3 Abstract harmonic analysis (43-XX) 2 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX)