Class degree and measures of relative maximal entropy
| dc.contributor.author | Allahbakhshi, Mahsa | |
| dc.contributor.supervisor | Quas, Anthony | |
| dc.date.accessioned | 2011-03-16T15:24:18Z | |
| dc.date.available | 2011-03-16T15:24:18Z | |
| dc.date.copyright | 2011 | en |
| dc.date.issued | 2011-03-16T15:24:18Z | |
| dc.degree.department | Department of Mathematics and Statistics | |
| dc.degree.level | Doctor of Philosophy Ph.D. | en |
| dc.description.abstract | 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. | en |
| dc.identifier.uri | http://hdl.handle.net/1828/3226 | |
| dc.language | English | eng |
| dc.language.iso | en | en |
| dc.rights | Available to the World Wide Web | en |
| dc.subject | Shift of finite type | en |
| dc.subject | Relative entropy | en |
| dc.subject | Hausdorff dimension | en |
| dc.subject | Maximal entropy | en |
| dc.subject | Class degree | en |
| dc.subject.lcsh | UVic Subject Index::Sciences and Engineering::Mathematics::Pure mathematics | en |
| dc.title | Class degree and measures of relative maximal entropy | en |
| dc.type | Thesis | en |