Model of p-Adic Random Walk in a Potential

Bonn States on the Cuntz Algebras and P-adic Random Walk States on the Cuntz Algebras and P-adic Random Walk States on the Cuntz Algebras and P -adic Random Walk

We study Markov measures and a p-adic random walk with the use of states on the Cuntz algebras Op. Via the GNS-construction, these come from families of representations of Op. We prove that these representations reflect self-similarity especially well. In this paper we consider a Cuntz-Krieger type algebra where the adjacency matrix depends on a parameter q (q = 1 is the case of Cuntz-Krieger)....

A Random Walk with Exponential Travel Times

Consider the random walk among N places with N(N - 1)/2 transports. We attach an exponential random variable Xij to each transport between places Pi and Pj and take these random variables mutually independent. If transports are possible or impossible independently with probability p and 1-p, respectively, then we give a lower bound for the distribution function of the smallest path at point log...

p-adic Chaos and Random Number Generation

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.

The Probability That a Random Monic p-adic Polynomial Splits