ON ERGODIC BEHAVIOR OF p-ADIC DYNAMICAL SYSTEMS-Reference-Cited by-同舟云学术

ON ERGODIC BEHAVIOR OF p-ADIC DYNAMICAL SYSTEMS

Published:2001-12 Issue:04 Volume:04 Page:569-577
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

GUNDLACH MATTHIAS¹,KHRENNIKOV ANDREI²,LINDAHL KARL-OLOF²

Affiliation:

1. Institut für Dynamische Systeme, Universität Bremen, Postfach 330440, 28334 Bremen, Germany

2. School of Mathematics and Systems Engineering, Växjö University, 35195, Växjö, Sweden

Abstract

Monomial mappings, x ↦ xn, are topologically transitive and ergodic with respect to Haar measure on the unit circle in the complex plane. In this paper we obtain an analogous result for monomial dynamical systems over p-adic numbers. The process is, however, not straightforward. The result will depend on the natural number n. Moreover, in the p-adic case we will not have ergodicity on the unit circle, but on the circles around the point 1.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025701000632

Reference6 articles.

1. p-adic string

2. Adelic string amplitudes

3. p-adic dynamic systems

4. Memory retrieval as a p-adic dynamical system

5. Limit-(quasi)periodic point sets as quasicrystals withp-adic internal spaces

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