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Results tagged with ergodic-theory
Search options questions only
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user 21123
Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.
23
votes
1
answer
995
views
Time averages and differentiability
Let $\varphi_t : M \rightarrow M$ be a smooth flow on a smooth manifold $M$. We may assume (although I'm not sure if this is important) that the flow preserves a smooth volume form on $M$. Given a con …
- 13.5k
11
votes
0
answers
550
views
Poincaré recurrence and symplectic packings
Question. Is there any example of a path connected symplectic manifold $(M,\omega)$ that has infinite volume, but which cannot be packed by an infinite number of symplectic balls of a fixed radius $r$ …
- 13.5k
6
votes
1
answer
374
views
Symplectic Koopmanism
Let $(M, \omega)$ be a $2n$-dimensional symplectic manifold and let $L_2(M,|\omega^n|)$ be the Hilbert space of complex-valued functions on $M$ that are square integrable with respect to the Liouville …
- 13.5k