List questions from ergodic-theory

Published on 26 Mar 2026 - 21:08

79

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Ergodicity of the system in the Furstenberg's Correspondence Principle

Published on 31 May 2022 - 14:40

58

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In general is $\frac{d\,\mu_1}{d\,\mu_2}\circ T = \frac{d\,T\mu_1}{d\,T\mu_2}$?

Published on 31 May 2022 - 16:42

43

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How to find the underlying dynamical system given a probability distribution?

Published on 02 Jun 2022 - 22:00

32

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ergodic dynamical system, measure of a set, visit of orbit into a set

Published on 03 Jun 2022 - 12:02

108

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Why is "weak convergence of a sequence to $0$" equivalent to "accumulation points of the sequence are all $0$" in the proof of mean ergodic theorem?

Published on 06 Jun 2022 - 15:27

55

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Kronecker system if and only if is isomorphic to a group rotation.

Published on 06 Jun 2022 - 17:53

90

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A proof of Disintegration theorem via conditional expectations

Published on 10 Jun 2022 - 13:57

59

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Birkhoff type theorem for quasi-stationary distributions of Markov processes

Published on 27 Mar 2026 - 22:04

34

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Ergodic theorem

Published on 16 Jun 2022 - 14:38

91

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Time vs. Ensemble Distribution of Sample Mean Z-Scores

Published on 24 Jun 2022 - 17:46

195

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Khintchine's recurrence Theorem (proof)

Published on 29 Jun 2022 - 13:43

135

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How to show that a process is not ergodic?

Published on 30 Mar 2026 - 20:50

52

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An application of Birkhoff's ergodic theorem to Hidden Markov Models

Published on 02 Apr 2026 - 3:19

153

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Ergodic Law of Large Numbers

Published on 31 Mar 2026 - 19:17

List Question

Set $T^{\mathbb N}x$ dense in $\mathbb S^1$ (Poincaré recurrence theorem)

Ergodicity of the system in the Furstenberg's Correspondence Principle

In general is $\frac{d\,\mu_1}{d\,\mu_2}\circ T = \frac{d\,T\mu_1}{d\,T\mu_2}$?

How to find the underlying dynamical system given a probability distribution?

ergodic dynamical system, measure of a set, visit of orbit into a set

Why is "weak convergence of a sequence to $0$" equivalent to "accumulation points of the sequence are all $0$" in the proof of mean ergodic theorem?

Kronecker system if and only if is isomorphic to a group rotation.

A proof of Disintegration theorem via conditional expectations

Birkhoff type theorem for quasi-stationary distributions of Markov processes

Ergodic theorem

Time vs. Ensemble Distribution of Sample Mean Z-Scores

Khintchine's recurrence Theorem (proof)

How to show that a process is not ergodic?

An application of Birkhoff's ergodic theorem to Hidden Markov Models

Ergodic Law of Large Numbers

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