Brought to you by:

Limit measures for affine cellular automata on topological Markov subgroups

, and

Published 16 August 2006 • 2006 IOP Publishing Ltd and London Mathematical Society
, , Citation Alejandro Maass et al 2006 Nonlinearity 19 2137 DOI 10.1088/0951-7715/19/9/009

Download Article PDF

Article metrics

74 Total downloads

Share this article

Author affiliations

1 Centro de Modelamiento Matemático and Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 170/3-Correo 3, Santiago, Chile

Dates

  1. Received 19 April 2006
  2. Published

Buy this article in print

Journal RSS
Sign up for new issue notifications
0951-7715/19/9/2137

Abstract

Consider a topological Markov subgroup which is ps-torsion (with p prime) and an affine cellular automaton defined on it. We show that the Cesàro mean of the iterates, by the automaton of a probability measure with complete connections and summable memory decay that is compatible with the topological Markov subgroup, converges to the Haar measure.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue

Recommended by D Dolgopyat

Please wait… references are loading.
10.1088/0951-7715/19/9/009