Digraph representations of rational functions over the p-adic numbers
Hansheng DiaoMassachusetts Institute of Technology, Cambridge, MA, 02139, USACesar E. SilvaDepartment of Mathematics, Williams College Williamstown, Williamstown, MA, 01267, USA
2011en
ABI
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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