DIGRAPH REPRESENTATIONS OF RATIONAL FUNCTIONS OVER THE p-ADIC NUMBERS
نویسنده
چکیده
In this paper, we construct a digraph structure on padic 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.
منابع مشابه
p-adic Shearlets
The field $Q_{p}$ of $p$-adic numbers is defined as the completion of the field of the rational numbers $Q$ with respect to the $p$-adic norm $|.|_{p}$. In this paper, we study the continuous and discrete $p-$adic shearlet systems on $L^{2}(Q_{p}^{2})$. We also suggest discrete $p-$adic shearlet frames. Several examples are provided.
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تاریخ انتشار 2009