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On ergodicity of p-adic dynamical systems for arbitrary prime p

  • E. Yurova
Short Communications

Abstract

In this paper, we obtain necessary and sufficient conditions for ergodicity (with respect to the normalized Haar measure) of 1-Lipschitz p-adic functions that are defined on (and valuated in) the space ℤ p of p-adic integers for any prime p. The conditions are stated in terms of coordinate representations of p-adic functions.

Key words

ergodicity 1-Lipschitz p-adic functions p-adic numbers 

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Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.International Center for Mathematical Modelling in Physics and Cognitive SciencesLinnaeus UniversityVäxjöSweden

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