Digraph Representations Of Rational Functions Over p-adic Numbers
classification
🧮 math.DS
math.NT
keywords
functionsadicdigraphrationalconditionsconstructdefineddynamical
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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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