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arXiv:0909.4130 [math.DS]AbstractReferencesReviewsResources

Digraph Representations Of Rational Functions Over $p$-adic Numbers

Hansheng Diao, Cesar E. Silva

Published 2009-09-23Version 1

In this paper, we construct a digraph structure on $p$-adic dynamical systems defined by rational functions. We study the conditions under which the functions are measure-preserving, invertible and isometric, ergodic, and minimal on invariant subsets, by means of graph theoretic properties.

Comments: 22 pages
Journal: P-Adic Numbers Ultrametric Anal. Appl. 3 (2011), no. 1, 23-38
Categories: math.DS, math.NT
Subjects: 37A05, 37F10
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