Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Coding nested mixing one-sided subshifts of finite type as Markov shifts having exactly the same alphabet
HTML articles powered by AMS MathViewer

by Alejandro Maass and Servet Martínez PDF
Proc. Amer. Math. Soc. 126 (1998), 1219-1230 Request permission

Abstract:

Let $X_{0}$, $X$ be mixing one-sided subshifts of finite type such that $X_{0}\subseteq X$. We show a necessary and sufficient condition for the existence of mixing Markov shifts $Y_{0}$, $Y$, $Y_{0}\subseteq Y$, and a conjugacy $\pi : Y\to X$ with $\pi (Y_{0})=X_{0}$, such that the sets of letters appearing in both systems are the same, more precisely, $L_{1}(Y_{0})=L_{1}(Y)$.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 54H20, 58F03
  • Retrieve articles in all journals with MSC (1991): 54H20, 58F03
Additional Information
  • Alejandro Maass
  • Affiliation: Departamento de Ingeniería Matemática, Universidad de Chile, Casilla 170/3 Correo 3, Santiago, Chile
  • MR Author ID: 315077
  • ORCID: 0000-0002-7038-4527
  • Email: amaass@dim.uchile.cl
  • Servet Martínez
  • Affiliation: Departamento de Ingeniería Matemática, Universidad de Chile, Casilla 170/3 Correo 3, Santiago, Chile
  • MR Author ID: 120575
  • Email: smartine@dim.uchile.cl
  • Received by editor(s): April 16, 1996
  • Received by editor(s) in revised form: September 23, 1996
  • Communicated by: Mary Rees
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 1219-1230
  • MSC (1991): Primary 54H20, 58F03
  • DOI: https://doi.org/10.1090/S0002-9939-98-04174-4
  • MathSciNet review: 1425133