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Results tagged with entropy
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user 106151
3
votes
1
answer
325
views
Applying the Abramov-Rokhlin skew product entropy formula to a bounded-to-one factor
I'm trying to show that $\pi$ preserves measure-theoretic entropy, i.e. $h(\nu) = h(\mu)$. … I'd like to apply the Abramov-Rokhlin entropy formula, which expresses the entropy of a skew product transformation as the sum of the entropy of the base and the entropy of the fibre. …
- 695
11
votes
0
answers
208
views
Factor map between subshifts preserving topological pressure (or measure-theoretic entropy)
Suppose that $h(X) = h(Y)$ (equal topological entropy). … One sufficient condition would be for the pushforward by $\pi$ to preserve the entropy of every invariant measure on $X$. …
- 695