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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
6
votes
1
answer
143
views
Subshifts with special property
I am looking how to prove the following fact:
If $ X \subseteq A^\mathbb{Z}$ is an infinite minimal subshift, then for any $N\ge 1$, $X$ is conjugate to a minimal subshift $Y\subseteq B^\mathbb{Z}$ su …
3
votes
Importance of Poincaré recurrence theorem? Any example?
This may not be a very dynamical application but still very interesting. Poincaré recurrence theorem was used in this paper
http://arxiv.org/pdf/math/0606232
to show that every amenable left-orderab …