Ergodic Products and Powers on Compact Subsets of the p-adic Field

• Autorzy: Memić N.

Identyfikatory

DOI

10.4064/ba8027-7-2016

• Języki publikacji: EN

Abstrakty

EN

We study powers of ergodic functions on compact subsets of the p-adic field. The same question is considered for products of compact subsets of the p-adic field.

Słowa kluczowe

EN

p-adic field; ergodic functions; transitive functions

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2016
• Tom: Vol. 64, no. 1
• Strony: 47--53
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Memić N.

• Department of Mathematics, Faculty of Natural Sciences and Mathematics, University of Sarajevo, Zmaja od Bosne 33-35, Sarajevo, Bosnia and Herzegovina

Bibliografia

• [1] V. Anashin, Ergodic transformations in the space of p-adic integers, in: p-Adic Mathematical Physics, AIP Conf. Proc. 826 (2006), 3–24.
• [2] V. Anashin and A. Khrennikov, Applied Algebraic Dynamics, de Gruyter Exp. Math. 49, de Gruyter, Berlin, 2009.
• [3] V. Anashin, A. Khrennikov and E. Yurova, Characterization of ergodicity of p-adic dynamical systems by using the van der Put basis, Dokl. Mat. 83 (2011), 306–308 (in Russian).
• [4] J. Bryk and C. E. Silva, Measurable dynamics of simple p-adic polynomials, Amer. Math. Monthly 112 (2005), 212–232.
• [5] Z. Coelho and W. Parry, Ergodicity of p-adic multiplications and the distribution of Fibonacci numbers, in: Topology, Ergodic Theory, Real Algebraic Geometry, Amer. Math. Soc. Transl. (2) 202, Amer. Math. Soc., 2001, 51–70.
• [6] H. Diao and C. E. Silva, Digraph representations of rational functions over the p-adic numbers, p-Adic Numbers Ultrametric Anal. Appl. 3 (2011), 23–38.
• [7] M. Gundlach, A. Khrennikov and K.-O. Lindahl, On ergodic behavior of p-adic dynamical systems, Infin. Dimens. Anal. Quantum Probab. Related Topics 4 (2001), 569–577.
• [8] S. Jeong, Toward the ergodicity of p-adic 1-Lipschitz functions represented by the van der Put series, J. Number Theory 133 (2013), 2874–2891.
• [9] E. Yurova, Van der Put basis and p-adic dynamics, p-Adic Numbers Ultrametric Anal. Appl. 2 (2010), 175–178.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.