Question

Birkhoff ergodic theorem

score 414 · Answer 1 · 2017-08-02 15:08:48

414

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Birkhoff ergodic theorem

Published on 02 Aug 2017 - 15:08

score 95 · Answer 2 · 2017-08-03 10:33:30

95

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Is it true that if $R$ is a thick set, then for every syndetic set $S$, there is $g\in R$ such that $S\cap g^{-1}S \neq\emptyset$

Published on 03 Aug 2017 - 10:33

score 1k · Answer 3 · 2017-08-04 17:28:06

1k

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Ergodicity and Simple Eigenvalue

Published on 04 Aug 2017 - 17:28

score 412 · Answer 4 · 2026-03-31 15:38:37

412

Views

Showing a homeomorphism has dense orbit for every x in a compact metric space X, if $d(x,y)=d(T(x),T(y))$

Published on 31 Mar 2026 - 15:38

score 41 · Answer 5 · 2017-08-11 18:43:11

Can every stochastic $(\psi_n)$ process be mimicked by a measure preserving dyamics $f$ and a observable $\psi$, giving $\psi_n = \psi \circ f^n$?

score 69 · Answer 6 · 2017-08-12 00:56:34

69

Views

Showing $QP=Q$ where $P$ is stochastic and $Q$ is the limiting matrix.

Published on 12 Aug 2017 - 0:56

score 421 · Answer 7 · 2026-03-27 04:21:59

421

Views

What is the difference between Ergodicity of a stationary Markov chain and non-stationary one?

Published on 27 Mar 2026 - 4:21

score 48 · Answer 8 · 2017-08-13 22:41:14

48

Views

Verifying proof about the limit of a sum involving the average of a periodic function

Published on 13 Aug 2017 - 22:41

score 1k · Answer 9 · 2026-03-31 10:43:24

1k

Views

Ergodic Markov Chain

Published on 31 Mar 2026 - 10:43

score 230 · Answer 10 · 2017-08-17 14:31:43

230

Views

Rokhlin lemma need not hold for arbitrary sequence

Published on 17 Aug 2017 - 14:31

score 291 · Answer 11 · 2017-08-25 20:14:30

291

Views

Prove that the Gauss map is strong-mixing.

Published on 25 Aug 2017 - 20:14

score 407 · Answer 12 · 2017-08-29 17:02:47

407

Views

What is the intuition behind coefficient of ergodicity?

Published on 29 Aug 2017 - 17:02

score 55 · Answer 13 · 2017-09-03 23:07:05

55

Views

Interpreting $h(T, \zeta) = \displaystyle{\lim_{n\to \infty}}H(\zeta | T^{-1}\zeta^n)$ from Brin and Stuck

Published on 03 Sep 2017 - 23:07

score 185 · Answer 14 · 2017-09-07 14:47:36

185

Views

Variance in central limit theorem for dependent random variables.

Published on 07 Sep 2017 - 14:47

score 112 · Answer 15 · 2026-03-29 21:37:42

112

Views

What is the topological dimension of $\mathbb{R}^\mathbb{Z}$? it is a separable topological space?

Published on 29 Mar 2026 - 21:37

List Question

Birkhoff ergodic theorem

Is it true that if $R$ is a thick set, then for every syndetic set $S$, there is $g\in R$ such that $S\cap g^{-1}S \neq\emptyset$

Ergodicity and Simple Eigenvalue

Showing a homeomorphism has dense orbit for every x in a compact metric space X, if $d(x,y)=d(T(x),T(y))$

Can every stochastic $(\psi_n)$ process be mimicked by a measure preserving dyamics $f$ and a observable $\psi$, giving $\psi_n = \psi \circ f^n$?

Showing $QP=Q$ where $P$ is stochastic and $Q$ is the limiting matrix.

What is the difference between Ergodicity of a stationary Markov chain and non-stationary one?

Verifying proof about the limit of a sum involving the average of a periodic function

Ergodic Markov Chain

Rokhlin lemma need not hold for arbitrary sequence

Prove that the Gauss map is strong-mixing.

What is the intuition behind coefficient of ergodicity?

Interpreting $h(T, \zeta) = \displaystyle{\lim_{n\to \infty}}H(\zeta | T^{-1}\zeta^n)$ from Brin and Stuck

Variance in central limit theorem for dependent random variables.

What is the topological dimension of $\mathbb{R}^\mathbb{Z}$? it is a separable topological space?

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