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

Hansheng Diao; Cesar E. Silva

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arXiv · 0909.4130

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

Hansheng Diao·Cesar E. Silva

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Abstract

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.

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Hansheng Diao, Cesar E. Silva. 2009-09-23. Digraph Representations Of Rational Functions Over $p$-adic Numbers. https://arxiv.org/abs/0909.4130

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