Edit Profile (opens in new tab) Reznykov, Illya I. Co-Author Distance Author ID: reznykov.illya-i Published as: Reznykov, Illya I.; Reznykov, I. I. Documents Indexed: 13 Publications since 2001, including 1 Additional arXiv Preprint Co-Authors: 3 Co-Authors with 5 Joint Publications 194 Co-Co-Authors Co-Authors 7 single-authored 4 Sushchans’kyĭ, Vitaliĭ Ivanovych 2 Bartholdi, Laurent 1 Olijnyk, A. S. 1 Souldatos, Ioannis A. Serials 3 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 3 Algebra and Discrete Mathematics 2 Journal of Algebra 2 Matematychni Studiï 1 International Journal of Algebra and Computation all top 5 Fields 12 Computer science (68-XX) 9 Group theory and generalizations (20-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 6 Publications have been cited 19 times in 17 Documents Cited by ▼ Year ▼ The smallest Mealy automaton of intermediate growth. Zbl 1095.20045 Bartholdi, L.; Reznykov, I. I.; Sushchansky, V. I. 13 2006 A Mealy machine with polynomial growth of irrational degree. Zbl 1185.68430 Bartholdi, Laurent; Reznykov, Illya I. 3 2008 On 2-state Mealy automata of polynomial growth. Zbl 1067.68093 Reznykov, I. I. 3 2003 On the 3-state Mealy automata over an \(m\)-symbol alphabet of growth order \([n^{\log n/2\log m}]\). Zbl 1115.20045 Reznykov, Illya I.; Sushchansky, Vitaliy I. 2 2006 Composite and non-monotonic growth functions of Mealy automata. Zbl 1067.68094 Reznykov, I. I. 2 2004 2-generated semigroup of automatic transformations whose growth is defined by Fibonacci series. Zbl 1045.68093 Reznykov, I. I.; Sushchansky, V. I. 1 2002 A Mealy machine with polynomial growth of irrational degree. Zbl 1185.68430 Bartholdi, Laurent; Reznykov, Illya I. 3 2008 The smallest Mealy automaton of intermediate growth. Zbl 1095.20045 Bartholdi, L.; Reznykov, I. I.; Sushchansky, V. I. 13 2006 On the 3-state Mealy automata over an \(m\)-symbol alphabet of growth order \([n^{\log n/2\log m}]\). Zbl 1115.20045 Reznykov, Illya I.; Sushchansky, Vitaliy I. 2 2006 Composite and non-monotonic growth functions of Mealy automata. Zbl 1067.68094 Reznykov, I. I. 2 2004 On 2-state Mealy automata of polynomial growth. Zbl 1067.68093 Reznykov, I. I. 3 2003 2-generated semigroup of automatic transformations whose growth is defined by Fibonacci series. Zbl 1045.68093 Reznykov, I. I.; Sushchansky, V. I. 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 20 Authors 5 Bartholdi, Laurent 4 Klimann, Ines 4 Sushchans’kyĭ, Vitaliĭ Ivanovych 3 Picantin, Matthieu 2 Godin, Thibault 2 Reznykov, Illya I. 2 Woryna, Adam 1 Akhavi, Ali 1 Easdown, David 1 Erschler, Anna 1 Grigorchuk, Rostislav Ivanovich 1 Lombardy, Sylvain 1 Mairesse, Jean 1 Noûs, Camille 1 Olijnyk, A. S. 1 Reznikov, Illya I. 1 Shneerson, L. M. 1 Sidki, Said Najati 1 Slupik, Janusz Konrad 1 Sutner, Klaus all top 5 Cited in 10 Serials 4 International Journal of Algebra and Computation 3 Journal of Algebra 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Theoretical Computer Science 1 International Journal of Foundations of Computer Science 1 Cybernetics and Systems Analysis 1 Theory of Computing Systems 1 Journal of the European Mathematical Society (JEMS) 1 Proceedings of the Steklov Institute of Mathematics all top 5 Cited in 9 Fields 15 Group theory and generalizations (20-XX) 13 Computer science (68-XX) 2 Associative rings and algebras (16-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) Citations by Year