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Class degree and measures of relative maximal entropy

Given a factor code [pi] from a shift of finite type X onto an irreducible sofic shift Y, and a fully supported ergodic measure v on Y we give an explicit upper bound on the number of ergodic measures on X which project to v and have maximal entropy among all measures in the fiber [pi]-1{v}. This bound is invariant under conjugacy. We relate this to an important construction for finite-to-one symbolic factor maps.

Identiferoai:union.ndltd.org:uvic.ca/oai:dspace.library.uvic.ca:1828/3226
Date16 March 2011
CreatorsAllahbakhshi, Mahsa
ContributorsQuas, Anthony
Source SetsUniversity of Victoria
LanguageEnglish, English
Detected LanguageEnglish
TypeThesis
RightsAvailable to the World Wide Web

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