Question

Proving a probability concerning a stationary ergodic stochastic process is nonzero.

score 91 · Answer 1 · 2026-03-26 07:57:03

91

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Proving a probability concerning a stationary ergodic stochastic process is nonzero.

Published on 26 Mar 2026 - 7:57

score 141 · Answer 2 · 2016-07-19 07:15:23

141

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If $g>0$ is in $L\ln\ln L$, then $\#\{n: g(\theta x)+\cdots+g(\theta^nx)\le t\,g(\theta^nx)\}\le Ct$ when $t\to\infty$

Published on 19 Jul 2016 - 7:15

score 90 · Answer 3 · 2016-07-20 16:15:39

90

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Why'' half-orbits'' of minimal $\mathbb{Z}$- action on compact Hausdorff space are still dense?

Published on 20 Jul 2016 - 16:15

score 53 · Answer 4 · 2026-03-26 06:21:23

53

Views

What is this bifurcation of a fixed point of a two-dimensional diffeomorphism with two parameters?

Published on 26 Mar 2026 - 6:21

score 639 · Answer 5 · 2016-07-28 12:40:17

639

Views

Ergodicity in hidden Markov models

Published on 28 Jul 2016 - 12:40

score 43 · Answer 6 · 2016-08-06 07:42:25

43

Views

Explain a step in proof this theorem.

Published on 06 Aug 2016 - 7:42

score 48 · Answer 7 · 2016-08-06 16:18:20

48

Views

Prove that $\lim_{n\to\infty} \frac{\sum_{k=1}^n g(\theta^k x)}{n} <\infty$

Published on 06 Aug 2016 - 16:18

score 2.3k · Answer 8 · 2016-08-07 17:30:54

2.3k

Views

Ergodicity of tent map

Published on 07 Aug 2016 - 17:30

score 93 · Answer 9 · 2016-08-12 15:08:40

93

Views

Constructing an Equidistributed set

Published on 12 Aug 2016 - 15:08

score 287 · Answer 10 · 2016-08-12 17:09:12

287

Views

Proof of Wiener's local ergodic theorem

Published on 12 Aug 2016 - 17:09

score 307 · Answer 11 · 2016-08-30 21:50:04

Events in a measure preserving system satisfying $\mu (A \cap T^{-n}B) = \mu(A)\mu(B)$ for all $n$ large imply $\mu(A) \in \{0,1\}$

score 310 · Answer 12 · 2016-09-06 20:11:12

310

Views

Show that frac(1/x) is a measure-preserving transformation

Published on 06 Sep 2016 - 20:11

score 5.3k · Answer 13 · 2016-09-11 12:14:13

5.3k

Views

Generator of $SL(2,R)$

Published on 11 Sep 2016 - 12:14

score 64 · Answer 14 · 2026-03-25 12:53:21

64

Views

What is the relationship between a map and its first return map when it comes to equidistribution?

Published on 25 Mar 2026 - 12:53

score 36 · Answer 15 · 2016-09-14 12:07:28

36

Views

Ergodic Theory: Why is $\frac{V_i(n)}{n} < \frac{Vi}{n} \to 0 = \frac{1}{m_i}$?

Published on 14 Sep 2016 - 12:07

List Question

Proving a probability concerning a stationary ergodic stochastic process is nonzero.

If $g>0$ is in $L\ln\ln L$, then $\#\{n: g(\theta x)+\cdots+g(\theta^nx)\le t\,g(\theta^nx)\}\le Ct$ when $t\to\infty$

Why'' half-orbits'' of minimal $\mathbb{Z}$- action on compact Hausdorff space are still dense?

What is this bifurcation of a fixed point of a two-dimensional diffeomorphism with two parameters?

Ergodicity in hidden Markov models

Explain a step in proof this theorem.

Prove that $\lim_{n\to\infty} \frac{\sum_{k=1}^n g(\theta^k x)}{n} <\infty$

Ergodicity of tent map

Constructing an Equidistributed set

Proof of Wiener's local ergodic theorem

Events in a measure preserving system satisfying $\mu (A \cap T^{-n}B) = \mu(A)\mu(B)$ for all $n$ large imply $\mu(A) \in \{0,1\}$

Show that frac(1/x) is a measure-preserving transformation

Generator of $SL(2,R)$

What is the relationship between a map and its first return map when it comes to equidistribution?

Ergodic Theory: Why is $\frac{V_i(n)}{n} < \frac{Vi}{n} \to 0 = \frac{1}{m_i}$?

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