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A Compactification of the Space of Expanding Maps on the Circle

✍ Scribed by Curtis T. McMullen


Publisher
Springer
Year
2009
Tongue
English
Weight
580 KB
Volume
18
Category
Article
ISSN
1016-443X

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Compactification of the Stationary Chann
✍ Shigeo Akashi πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 94 KB

Topologization of the set consisting of all channels is given. This result is applied to the proof that the entropy rates and the transmission rate are jointly upper semi-continuous on the product topological space constructed from the stationary regular Borel probability measures and the stationary