On $g$-functions for subshifts

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.

Published at http://dx.doi.org/10.1214/074921706000000329 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)

Cited by in corpus (2)

• Entropy of a bit-shift channel
• On a certain class of $g$-functions for subshifts