On $g$-functions for subshifts

Mathematics – Dynamical Systems

Scientific paper

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Published at http://dx.doi.org/10.1214/074921706000000329 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/

Scientific paper

10.1214/074921706000000329

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.

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