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Results tagged with ergodic-theory
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user 25511
Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.
6
votes
1
answer
606
views
Non uniquely ergodic interval exchange transformations
Consider an interval exchange transformation that is, a bijective piecewise continuous map $[0,1] \rightarrow [0,1] $ whose restriction to its continuity intervals are translations. Assume that it is …
- 2,696
11
votes
2
answers
709
views
Minimal, uniquely ergodic but not Lebesgue-ergodic?
So here's my question:
Does there exist a minimal diffeomorphism of class at least $\mathcal{C^2}$ of a compact manifold X which is
minimal
uniquely ergodic with unique probability measure $\mu$
n …
- 2,696
13
votes
2
answers
651
views
Closure of the orbits of the $SL(2,\mathbb{Z})$-action on $\mathbb{R}^2$
I'm coming with a very basic question for which I can't find an answer. Please forgive me if I didn't search efficiently enough.
What can the closure of an orbit of an element $X$ of $\mathbb{R}^2$ u …
- 2,696