Allahbakhshi, Mahsa2011-03-162011-03-1620112011-03-16http://hdl.handle.net/1828/3226Given 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.enAvailable to the World Wide WebShift of finite typeRelative entropyHausdorff dimensionMaximal entropyClass degreeUVic Subject Index::Sciences and Engineering::Mathematics::Pure mathematicsThesis