English

Dynamics measured in a non-Archimedean field

Dynamical Systems 2012-05-18 v2 Number Theory

Abstract

We study dynamical systems using measures taking values in a non-Archimedean field. The underlying space for such measure is a zero-dimensional topological space. In this paper we elaborate on the natural translation of several notions, e.g., probability measures, isomorphic transformations, entropy, from classical dynamical systems to a non-Archimedean setting.

Keywords

Cite

@article{arxiv.1205.3694,
  title  = {Dynamics measured in a non-Archimedean field},
  author = {Janne Kool},
  journal= {arXiv preprint arXiv:1205.3694},
  year   = {2012}
}

Comments

12 pages

R2 v1 2026-06-21T21:05:05.902Z