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Ergodic dynamical systems over the cartesian power of the ring of 2-adic integers | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2015. № 1 (27).

It is proved that, for any 1-lipschitz ergodic map F : Z k ^ Z k, where k > 1 and k е N, there are 1-lipschitz ergodic map G : Z 2 ^ Z 2 and two bijections H k, T k, P such that G = H k o T k, P o F o H -1 and F = H -1 o T k P-1 o G o H k.
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  • Title Ergodic dynamical systems over the cartesian power of the ring of 2-adic integers
  • Headline Ergodic dynamical systems over the cartesian power of the ring of 2-adic integers
  • Publesher Tomask State UniversityTomsk State University
  • Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 1 (27)
  • Date:
  • DOI
Keywords
T-functions, cartesian product, p-adic analysis, 1-lipschitz measure-preserving p-adic functions, ergodic, Т-функции, декартово произведение, 1-липшицевы сохраняющие меру преобразования, эргодическая теория
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References
Lavrenyuk Y. and Sushchansky V. Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees // Algebra Discr. Math. 2003. No. 4. P. 33-49.
Durand F. and Paccaut F. Minimal polynomial dynamics on the set of 3-adic integers // Designs, Codes, and Cryptography. 2009. V.41. No. 2. P. 302-314.
Slupik A. and Sushchansky V. Minimal generating sets and Cayley graphs of Sylow p-sub-groups of finite symmetric groups // Algebra Discr. Math. 2009. No. 4. P. 167-184.
Anashin V. S. Uniformly distributed sequences of p-adic integers // Discr. Math. Appl. 2002. V. 12. No. 6. P. 527-590.
Anashin V.S. and Khrennikov A. U. Applied Algebraic Dynamics. Berlin: de Gruyter Expositions in Mathematics, 2009. 558 p.
Anashin V.S., Khrennikov A. U., and Yurova E. T-functions revisited: new criteria for bijectivity/transitivity // Designs, Codes, and Cryptography. 2014. V. 71. No. 3. P. 383-407.
Anashin V. S. Uniformly distributed sequences in computer algebra or how to construct program generators of random numbers // J. Math. Sci. 1998. V. 89. No. 4. P. 1355-1390.
Anashin V. S. Uniformly distributed sequences over p-adic integers // Proc. Intern. Conf. "Number Theoretic and Algebraic Methods in Computer Science", Moscow, Juny-July 1993. World Scientific, 1995. P. 1-18.
Klimov A. and Shamir A. Cryptographic applications of T-functions, Selected areas in cryptography // LNCS. 2004. No. 3006. P. 248-261.
Anashin V. S. Uniformly distributed sequences of p-adic integers // Math. Notes. 1994. V. 55. No. 1-2. P. 109-133.
Ergodic dynamical systems over the cartesian power of the ring of 2-adic integers | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2015. № 1 (27).
Ergodic dynamical systems over the cartesian power of the ring of 2-adic integers | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2015. № 1 (27).
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