Bounded density shifts-Reference-Cited by-同舟云学术

Bounded density shifts

Published:2013-07-05 Issue:6 Volume:33 Page:1891-1928
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

STANLEY BRETT

Abstract

AbstractWe consider subshifts of the full shift of bi-infinite sequences with alphabet

$\{ 0, 1, \ldots , n- 1\} $

defined by not allowing the sum of finite words to exceed a value depending on its length. These shifts we call bounded density shifts. We study these shifts in detail and make a comparison on the similarities to but also differences from the well-known

$\beta $

-shifts.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. On the structure of beta shifts

2. An Introduction to Symbolic Dynamics and Coding

3. Representations for real numbers and their ergodic properties

4. Intrinsic ergodicity beyond specification: β-shifts, S-gap shifts, and their factors

5. β-Expansions and symbolic dynamics

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