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- W2893443145 abstract "We prove that the entropy map for countable Markov shifts of finite entropy is upper semi-continuous at ergodic measures. Note that the phase space is non-compact. Applications to systems that can be coded by these shifts, such as positive entropy diffeomorphisms on compact manifolds, are given. We also discuss the related problem of existence of measures of maximal entropy." @default.
- W2893443145 created "2018-10-05" @default.
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- W2893443145 date "2018-09-26" @default.
- W2893443145 modified "2023-09-27" @default.
- W2893443145 title "Upper semi-continuity of entropy in non-compact settings" @default.
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