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Results tagged with ergodic-theory
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user 1121
Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.
21
votes
6
answers
3k
views
Quantitative versions of ergodic theorem
Are there any general theorems similar to Birkhoff's ergodic theorem, but giving quantitative estimates on the rate of convergence or average time of recurrence (perhaps with additional assumptions)? …
- 3,323
21
votes
3
answers
1k
views
Central Limit Theorem(s) for irrational rotation
Let $\alpha$ be irrational and $T: S^1 \rightarrow S^1$ be the rotation by $\alpha$. I'm interested in what type of Central Limit Theorem (if any) can hold for sums $Y_n = \frac{1}{\sqrt{n}}\sum_{k=1} …
- 3,323