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

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

2009-09-23

arxiv.org/abs/0909.4130v1

P-Adic Numbers Ultrametric Anal. Appl. 3 (2011), no. 1, 23-38

Mathematics

Dynamical Systems

22 pages

Scientific paper

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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