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Results tagged with ds.dynamical-systems
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user 103342
Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
1
vote
Accepted
Existence of asymptotic sequence in ergodic measure-preserving transformations
You can define $\phi_n=S_n(1_A)/\theta_n$ where $S_n(1_A)=\sum_{k=0}^{n-1}1_A\circ T^k$ and view $\phi_n$ as funcitons in $L^2(A,\mu)$.
The condition you mentioned gives that $\|\phi_n\|_2\leq \lambda …
- 111
2
votes
Free ergodic probability measure-preserving actions of the free group
Given any positive definite function $\psi:\mathbb{F}_2\to \mathbb{C}$, there exists a stationary Gaussian process $\left(X_g\right)_{g\in\mathbb{F}_2}$ such that $\mathbb{E}\left(X_gX_h\right)=\psi\ …
- 111