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Results tagged with ds.dynamical-systems
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user 19603
Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
4
votes
Book recommendation for ergodic theory and/or topological dynamics?
Let me suggest you a recent book by Steve Kalikow and Randall McCutcheon:
"An Outline of Ergodic Theory". This is a nice book to get a solid background in isomorphism theory of measurable dynamical sy …
8
votes
Accepted
Mixing property of first return map
Any ergodic transformation induces a mixing transformation: This was first proved by Friedman and Ornstein (Advances in Mathematics 10 (1973), 147-163.
I later prove that you can even induce a transfo …
4
votes
De Finetti's theorem, the pointwise ergodic theorem, and reverse martingales
It was recently pointed out by Bill Johnson in a comment to a question concerning "Fully exchangeable random sequences" that if an infinite sequence of random variables is exchangeable, then it is "fu …