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Results tagged with ergodic-theory
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user 106151
Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.
11
votes
1
answer
516
views
Cohomology for extension problems in symbolic/topological dynamics?
Context: I know essentially nothing about cohomology of any kind, but I have a problem involving classifying obstructions to extensions of certain maps or covers, and I have heard that cohomology is r …
11
votes
0
answers
208
views
Factor map between subshifts preserving topological pressure (or measure-theoretic entropy)
Let $G$ be a countable amenable group and let $X,Y$ be subshifts with finite alphabet over $G$. Suppose that $h(X) = h(Y)$ (equal topological entropy). I am interested in continuous factor maps $\pi: …
- 63.9k
3
votes
1
answer
325
views
Applying the Abramov-Rokhlin skew product entropy formula to a bounded-to-one factor
Let $(X, \mathcal{B}, \mu, S)$ and $(Y, \mathcal{C}, \nu, T)$ be invertible probability-measure-preserving systems, with a measurable factor map $\pi: X \to Y$, i.e. $\pi \circ S = T \circ \pi$. Suppo …
- 17k