Dynamics of the $p$-adic Shift and Applications
Dynamical Systems
2011-08-31 v1
Abstract
We present a novel way of realizing the Bernoulli shift on symbols on the -adic integers, where is a prime. By showing that suitably small perturbations of the shift are still Bernoulli we find many "nice" maps, such as polynomials on , that are isomorphic to the (noninvertible) Bernoulli shift.
Cite
@article{arxiv.0903.4226,
title = {Dynamics of the $p$-adic Shift and Applications},
author = {James Kingsbery and Alex Levin and Anatoly Preygel and Cesar E. Silva},
journal= {arXiv preprint arXiv:0903.4226},
year = {2011}
}
Comments
15 pages, 1 figure