# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 26 Publications since 1978, including 1 Book Biographic References: 1 Publication
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#### Co-Authors

 17 single-authored 6 Khrennikov, Andreĭ Yur’evich 5 Yurova, Ekaterina I. 2 Lin, Dongdai 2 Shi, Tao 1 Dragovich, Branko 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kozyrev, Sergeĭ Vladimirovich 1 Volovich, Igor’ Vasil’evich
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#### Serials

 3 Doklady Mathematics 3 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 2 Mathematical Notes 1 Algebra and Logic 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Discrete Mathematics and Applications 1 Designs, Codes and Cryptography 1 Mathematics of the USSR, Sbornik 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 De Gruyter Expositions in Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematics in Computer Science
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#### Fields

 13 Number theory (11-XX) 12 Dynamical systems and ergodic theory (37-XX) 7 Group theory and generalizations (20-XX) 5 Information and communication theory, circuits (94-XX) 4 General algebraic systems (08-XX) 4 Computer science (68-XX) 4 Quantum theory (81-XX) 3 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 366 times in 138 Documents Cited by Year
Applied algebraic dynamics. Zbl 1184.37002
2009
Uniformly distributed sequences of $$p$$-adic integers. Zbl 0835.11031
Anashin, V. S.
1994
Uniformly distributed sequences of $$p$$-adic integers. Zbl 1054.11041
Anashin, V. S.
2002
Ergodic transformations in the space of $$p$$-adic integers. Zbl 1152.37301
2006
Characterization of ergodicity of $$p$$-adic dynamical systems by using the van der Put basis. Zbl 1247.37007
Anashin, Vladimir S.; Khrennikov, Andrei Yu.; Yurova, Ekaterina I.
2011
T-functions revisited: new criteria for bijectivity/transitivity. Zbl 1338.94059
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2014
Uniformly distributed sequences in computer algebra or how to construct program generators of random numbers. Zbl 0909.11029
Anashin, V. S.
1998
Ergodicity criteria for non-expanding transformations of 2-adic spheres. Zbl 1317.37115
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2014
The non-Archimedean theory of discrete systems. Zbl 1267.37006
2012
Automata finiteness criterion in terms of van der Put series of automata functions. Zbl 1262.11045
Anashin, V.
2012
Non-archimedean theory of $$T$$-functions. Zbl 1167.68371
2008
Mixed identities and mixed varieties of groups. Zbl 0597.20021
Anashin, V. S.
1986
Uniformly distributed sequences over $$p$$-adic integers. Zbl 0920.11050
1995
Ergodicity of dynamical systems on 2-adic spheres. Zbl 1261.37002
Anashin, V. S.; Khrennikov, A. Yu.; Yurova, E. I.
2012
Using van der Put basis to determine if a 2-adic function is measure-preserving or ergodic w.r.t. Haar measure. Zbl 1237.11051
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2011
Linear weaknesses in $$T$$-functions. Zbl 1304.94086
Shi, Tao; Anashin, Vladimir; Lin, Dongdai
2012
Solvable groups with operators and commutative rings having transitive polynomials. Zbl 0565.20009
Anashin, V. S.
1983
Noncommutative algebraic dynamics: ergodic theory for profinite groups. Zbl 1201.37010
2009
Quantization causes waves: smooth finitely computable functions are affine. Zbl 1328.81136
Anashin, V. S.
2015
Functionally complete groups. Zbl 0421.20012
Anashin, V. S.
1978
Solvable groups with transitive polynomials. Zbl 0437.20015
Anashin, V. S.
1980
Fast evaluation of T-functions via time-memory trade-offs. Zbl 1290.94131
Shi, Tao; Anashin, Vladimir; Lin, Dongdai
2013
Quantization causes waves: smooth finitely computable functions are affine. Zbl 1328.81136
Anashin, V. S.
2015
T-functions revisited: new criteria for bijectivity/transitivity. Zbl 1338.94059
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2014
Ergodicity criteria for non-expanding transformations of 2-adic spheres. Zbl 1317.37115
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2014
Fast evaluation of T-functions via time-memory trade-offs. Zbl 1290.94131
Shi, Tao; Anashin, Vladimir; Lin, Dongdai
2013
The non-Archimedean theory of discrete systems. Zbl 1267.37006
2012
Automata finiteness criterion in terms of van der Put series of automata functions. Zbl 1262.11045
Anashin, V.
2012
Ergodicity of dynamical systems on 2-adic spheres. Zbl 1261.37002
Anashin, V. S.; Khrennikov, A. Yu.; Yurova, E. I.
2012
Linear weaknesses in $$T$$-functions. Zbl 1304.94086
Shi, Tao; Anashin, Vladimir; Lin, Dongdai
2012
Characterization of ergodicity of $$p$$-adic dynamical systems by using the van der Put basis. Zbl 1247.37007
Anashin, Vladimir S.; Khrennikov, Andrei Yu.; Yurova, Ekaterina I.
2011
Using van der Put basis to determine if a 2-adic function is measure-preserving or ergodic w.r.t. Haar measure. Zbl 1237.11051
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2011
Applied algebraic dynamics. Zbl 1184.37002
2009
Noncommutative algebraic dynamics: ergodic theory for profinite groups. Zbl 1201.37010
2009
Non-archimedean theory of $$T$$-functions. Zbl 1167.68371
2008
Ergodic transformations in the space of $$p$$-adic integers. Zbl 1152.37301
2006
Uniformly distributed sequences of $$p$$-adic integers. Zbl 1054.11041
Anashin, V. S.
2002
Uniformly distributed sequences in computer algebra or how to construct program generators of random numbers. Zbl 0909.11029
Anashin, V. S.
1998
Uniformly distributed sequences over $$p$$-adic integers. Zbl 0920.11050
1995
Uniformly distributed sequences of $$p$$-adic integers. Zbl 0835.11031
Anashin, V. S.
1994
Mixed identities and mixed varieties of groups. Zbl 0597.20021
Anashin, V. S.
1986
Solvable groups with operators and commutative rings having transitive polynomials. Zbl 0565.20009
Anashin, V. S.
1983
Solvable groups with transitive polynomials. Zbl 0437.20015
Anashin, V. S.
1980
Functionally complete groups. Zbl 0421.20012
Anashin, V. S.
1978
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#### Cited by 125 Authors

 16 Mukhamedov, Farruh Maksutovich 13 Khrennikov, Andreĭ Yur’evich 11 Anashin, Vladimir Sergeevich 10 Memić, Nacima 8 Jeong, Sangtae 8 Liao, Lingmin 7 Fan, Shilei 7 Yurova, Ekaterina I. 6 Fan, Ai Hua 6 Khakimov, Otabek N. 5 Kozyrev, Sergeĭ Vladimirovich 4 Lindahl, Karl-Olof 4 Ostafe, Alina 4 Sattarov, Iskandar A. 3 Dragovich, Branko 3 Li, Chunlan 3 Rozikov, Utkir A. 3 Shparlinski, Igor E. 3 Silva, Cesar E. 3 Sopin, V. V. 3 Volovich, Igor’ Vasil’evich 3 Wang, Yuefei 3 Yang, Zifeng 3 Zelenov, Evgenii I. 2 Akin, Hasan 2 D’Andrea, Carlos 2 Hieronymi, Philipp 2 Jang, Youngho 2 Kingsbery, James 2 Levin, Alex 2 Lin, Dongdai 2 Ludkovsky, Sergey Victor 2 Murtagh, Fionn D. 2 Nordqvist, Jonas 2 Preygel, Anatoly 2 Sombra, Martín 2 Svensson, Per-Anders 2 Walsberg, Erik 2 Yang, Jinghua 2 Yurova Axelsson, Ekaterina 1 Abdollahi, Alireza 1 Ahmed, Elsayed A. 1 Aleshin, Stanislav V. 1 Allen, Kenneth R. 1 Amaglobeli, Mikhail Georgievich 1 Artamonov, Vyacheslav Aleksandrovich 1 Axelsson, E. I. Yurova 1 Axelsson, E. Yurova 1 Bastos, Jéfferson L. R. 1 Caprio, Danilo Antonio 1 Chang, Mei-Chu 1 Contreras, Pedro 1 Daoud, Bounabi 1 DeMark, David 1 Diao, Hansheng 1 Diarra, Bertin 1 Doğan, Mutlay 1 Durand, Fabien 1 Ermilov, D. M. 1 Fares, Youssef 1 Fransson, Jonas 1 Furno, Joanna 1 Ghouchan, Mohammad Farrokhi Derakhshandeh 1 Gorman, Alexi Block 1 Guerboussa, Yassine 1 Hu, Bin 1 Hull, Michael B. 1 Huremović, Jasmina Muminović 1 Inoue, Hirohito 1 Iurato, Giuseppe 1 Jin, Chenghui 1 Kamada, Shoichi 1 Kamlovskiĭ, Oleg Vital’evich 1 Kaneko, Hajime 1 Kaplan, Elliot 1 Khakimov, O. Kh. 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kolokotronis, Nicholas 1 Kondrat’ev, Anatoliĭ Semenovich 1 Kosyak, Alexandre V. 1 Kozlitin, Oleg A. 1 Lerner, E. E. 1 Lerner, Emil 1 Li, Mingtian 1 Lipina, T. I. 1 Makhnëv, Aleksandr Alekseevich 1 Mendes, José F. F. 1 Meng, Ruoyu 1 Messaoudi, Ali 1 Naito, Koichiro 1 Nyqvist, Robert 1 Osin, Denis V. 1 Panteleev, Pavel A. 1 Parvatov, N. G. 1 Petsche, Clayton 1 Qiu, Weiyuan 1 Qu, Chengqin 1 Qu, Yunying 1 Rozier, Olivier 1 Rykov, S. V. ...and 25 more Authors
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#### Cited in 49 Serials

 30 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 11 Journal of Number Theory 4 Journal of Mathematical Analysis and Applications 4 Theoretical and Mathematical Physics 4 Advances in Mathematics 4 Discrete Mathematics and Applications 4 Finite Fields and their Applications 4 Discrete and Continuous Dynamical Systems 4 Doklady Mathematics 4 Prikladnaya Diskretnaya Matematika 3 Chaos, Solitons and Fractals 3 Designs, Codes and Cryptography 3 Indagationes Mathematicae. New Series 3 Izvestiya: Mathematics 3 International Journal of Number Theory 3 Proceedings of the Steklov Institute of Mathematics 2 Mathematical Notes 2 Reports on Mathematical Physics 2 Journal of Differential Equations 2 Journal of Soviet Mathematics 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of Mathematical Sciences (New York) 2 Mathematical Physics, Analysis and Geometry 2 Research in Number Theory 2 Matematicheskie Voprosy Kriptografii 1 Communications in Algebra 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Problems of Information Transmission 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Monatshefte für Mathematik 1 Results in Mathematics 1 Journal of Complexity 1 International Journal of Algebra and Computation 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Fractals 1 Selecta Mathematica. New Series 1 The Journal of Fourier Analysis and Applications 1 Acta Mathematica Sinica. English Series 1 Far East Journal of Mathematical Sciences 1 Integers 1 Journal of Algebra and its Applications 1 Mathematics in Computer Science 1 Logical Methods in Computer Science 1 Science China. Mathematics 1 Science China. Information Sciences
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#### Cited in 36 Fields

 82 Dynamical systems and ergodic theory (37-XX) 70 Number theory (11-XX) 13 Information and communication theory, circuits (94-XX) 10 Field theory and polynomials (12-XX) 10 Group theory and generalizations (20-XX) 10 Functional analysis (46-XX) 10 Computer science (68-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Real functions (26-XX) 8 Operator theory (47-XX) 7 Commutative algebra (13-XX) 7 Probability theory and stochastic processes (60-XX) 6 Combinatorics (05-XX) 6 Difference and functional equations (39-XX) 5 Quantum theory (81-XX) 4 Functions of a complex variable (30-XX) 4 Numerical analysis (65-XX) 3 Mathematical logic and foundations (03-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)