Institute of Mathematical Statistics Lecture Notes - Monograph Series

On $g$-functions for subshifts

Wolfgang Krieger

Full-text: Open access

Abstract

A necessary and sufficient condition is given for a subshift presentation to have a continuous $g$-function. An invariant necessary and sufficient condition is formulated for a subshift to posses a presentation that has a continuous $g$-function.

Chapter information

Source
Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy, eds., Dynamics & Stochastics: Festschrift in honor of M. S. Keane (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2006), 306-316

Dates
First available in Project Euclid: 28 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.lnms/1196285831

Digital Object Identifier
doi:10.1214/074921706000000329

Mathematical Reviews number (MathSciNet)
MR2306211

Zentralblatt MATH identifier
1132.37009

Subjects
Primary: 37B10: Symbolic dynamics [See also 37Cxx, 37Dxx]

Keywords
subshift $g$-function

Rights
Copyright © 2006, Institute of Mathematical Statistics

Citation

Krieger, Wolfgang. On $g$-functions for subshifts. Dynamics & Stochastics, 306--316, Institute of Mathematical Statistics, Beachwood, Ohio, USA, 2006. doi:10.1214/074921706000000329. https://projecteuclid.org/euclid.lnms/1196285831


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