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- W2158179910 abstract "Abstract Let π be a factor map from an irreducible shift of finite type X to a shift space Y . Let ν be an invariant probability measure on Y with full support. We show that every measure on X of maximal relative entropy over ν is fully supported. As a result, given any invariant probability measure ν on Y with full support, there is an invariant probability measure μ on X with full support that maps to ν under π . If ν is ergodic, μ can be chosen to be ergodic. These results can be generalized to the case of sofic shifts. We demonstrate that the results do not extend to general shift spaces by providing counterexamples." @default.
- W2158179910 created "2016-06-24" @default.
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- W2158179910 date "2010-11-17" @default.
- W2158179910 modified "2023-09-26" @default.
- W2158179910 title "Measures of maximal relative entropy with full support" @default.
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- W2158179910 doi "https://doi.org/10.1017/s0143385710000581" @default.
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