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

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.

arXiv comment22 pages

Cited by in corpus (1)

• On minimal decomposition of $p$-adic homographic dynamical systems