Dynamics of the $p$-adic Shift and Applications

@article{Kingsbery2009DynamicsOT,
  title={Dynamics of the \$p\$-adic Shift and Applications},
  author={James Kingsbery and Alex Levin and Anatoly Preygel and Cesar E. Silva},
  journal={arXiv: Dynamical Systems},
  year={2009}
}
  • James Kingsbery, Alex Levin, +1 author Cesar E. Silva
  • Published 2009
  • Mathematics, Computer Science
  • arXiv: Dynamical Systems
  • We present a novel way of realizing the Bernoulli shift on $p$ symbols on the $p$-adic integers, where $p$ is a prime. By showing that suitably small perturbations of the shift are still Bernoulli we find many "nice" maps, such as polynomials on $\mathbb Z_p$, that are isomorphic to the (noninvertible) Bernoulli shift. 

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