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Sofic random processes

Published in Journal für die reine und angewandte Mathematik (Crelles Journal) • Jan 1, 2012
NobleIDNI3P99W03R79S42
Authors:
Wolfgang Krieger
,
Benjamin Weiss

Abstract

For a finite alphabet Σ, a subshift Y ⊂ Σℤ and an ergodic shift invariant probability measure with support Y, the future measures of the process (Y, ν) are the conditional measures of ν on the future, given the past. We introduce sofic processes as the processes that have finitely many future measur...

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