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Digraph representations of rational functions over the p-adic numbers

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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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Authors and Affiliations

  1. Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Hansheng Diao

  2. Department of Mathematics, Williams College Williamstown, Williamstown, MA, 01267, USA

    Cesar E. Silva

Authors
  1. Hansheng Diao
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  2. Cesar E. Silva
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Correspondence to Hansheng Diao.

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The text was submitted by the authors in English.

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Diao, H., Silva, C.E. Digraph representations of rational functions over the p-adic numbers. P-Adic Num Ultrametr Anal Appl 3, 23–38 (2011). https://doi.org/10.1134/S2070046611010031

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  • DOI: https://doi.org/10.1134/S2070046611010031

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