New answers tagged ergodic-theory
2
votes
Confusion about Teichmüller curves and $\operatorname{SL}_2$-action
Veech coined the term "Teichmueller curve" and McMullen popularized it. A Teichmueller curve is a curve in the classical Riemann moduli space that is totally geodesic with respect to the ...
4
votes
Simple proof that exactness implies strong mixing
I think the martingale theory really captures exactly what's happening. I don't know any other proof, but suspect that you would end up reproducing the backwards martingale theorem in some form? I am ...
4
votes
Simple proof that exactness implies strong mixing
Not sure if this is what you're looking for, and I'm not an expert on exact systems, but:
your definition of exact implies that $\bigcap_{n \geq 0} T^{-n} \mathcal{B} = \mathcal{N}$, where $\mathcal{B}...
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