Abstract
For any 1-lipschitz ergodic map F: ℤ k p ↦ ℤ k p , k >1 ∈ ℕ, there are 1-lipschitz ergodic map G: ℤ p ↦ ℤ p and two bijections H k , T k, P that
.
References
V. Anashin and A. Khrennikov, Applied Algebraic Dynamics (de Gruyter Expos. Math., Berlin, 2009).
B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev and I. V. Volovich, “On p-adic mathematical physics,” p-Adic Numbers Ultr. Anal. Appl. 1(1), 1–17 (2009).
V. Anashin, “Uniformly distributed sequences over p-adic integers,” Number Theoretic and Algebraic Methods in Computer Science, pp. 1–18 (World Sci. Publ., Singapore, 1998).
V. Anashin, “Uniformly distributed sequences in computer algebra or how to construct program generators of random numbers,” J. Math. Sciences 89(4), 1355–1390 (1998).
V. Anashin, “Uniformly distributed sequences of p-adic integers,” Discr. Math. Appl. 12(6), 527–590 (2002).
V. Anashin, A. Khrennikov and E. Yurova, “T-Funtions revisited: New criteria for bijectivity/transitivity,” Designs Codes Crypt. 71(3), 383–407 (2014).
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the author in English.
Rights and permissions
About this article
Cite this article
Sopin, V. Ergodic dynamical systems over the cartesian power of the ring of p-adic integers. P-Adic Num Ultrametr Anal Appl 6, 333–336 (2014). https://doi.org/10.1134/S2070046614040086
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S2070046614040086