List questions from ergodic-theory

Published on 24 Feb 2026 - 13:30

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Professor gets wet

Published on 08 Jul 2022 - 14:23

90

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If $\pi$ has marginals $\mu = \frac{1}{2} \delta_x + \frac{1}{2} \delta_y$ and $\nu$, must $\pi = \mu \otimes \nu$?

Published on 28 Mar 2026 - 10:29

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Pinsker $\sigma$-algebra is $T$ invariant

Published on 02 Apr 2026 - 3:19

499

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What is a "physical measure"?

Published on 15 Jul 2022 - 1:56

388

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$3x+1$ Conjecture and link with Ergodic Theory

Published on 30 Mar 2026 - 4:54

243

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Left Translation Action is Ergodic with respect to Haar

Published on 24 Feb 2026 - 13:10

107

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Stuck with proof of Feller's basic Limit theorem for Markov chains - just a small calculation away!

Published on 17 Jul 2022 - 17:08

77

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Why does the integral operator $I(f) \equiv \int_X fd\mu$ correspond to an orthogonal projection in Von Neumann's Ergodic Theorem?

Published on 19 Jul 2022 - 11:29

43

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Understanding why $\mathbb{E}(f\mid A)=Pf=\int_Xfd\mu$ in a probability space $(X,F,\mu)$ given a sub-sigma algebra $A$ of sets of measure 0 or 1

Published on 20 Jul 2022 - 6:38

51

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Are classical many-body systems ergodic?

Published on 25 Mar 2026 - 20:16

90

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Asking for help to understand how one can apply the Dominated Convergence Theorem in a proof for Oxtoby's Ergodicity Theorem

Published on 24 Jul 2022 - 8:04

83

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Support of the invariant measures of the logistic family

Published on 26 Jul 2022 - 2:26

47

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Using gradient descent in probability case

Published on 28 Jul 2022 - 17:16

70

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Actions on Bernoulli space have almost the same orbits

Published on 24 Feb 2026 - 13:08

List Question

Write the Radon-Nikodym derivative on a subset $Y$ as a sum of the derivative over the entire space

Professor gets wet

If $\pi$ has marginals $\mu = \frac{1}{2} \delta_x + \frac{1}{2} \delta_y$ and $\nu$, must $\pi = \mu \otimes \nu$?

Pinsker $\sigma$-algebra is $T$ invariant

What is a "physical measure"?

$3x+1$ Conjecture and link with Ergodic Theory

Left Translation Action is Ergodic with respect to Haar

Stuck with proof of Feller's basic Limit theorem for Markov chains - just a small calculation away!

Why does the integral operator $I(f) \equiv \int_X fd\mu$ correspond to an orthogonal projection in Von Neumann's Ergodic Theorem?

Understanding why $\mathbb{E}(f\mid A)=Pf=\int_Xfd\mu$ in a probability space $(X,F,\mu)$ given a sub-sigma algebra $A$ of sets of measure 0 or 1

Are classical many-body systems ergodic?

Asking for help to understand how one can apply the Dominated Convergence Theorem in a proof for Oxtoby's Ergodicity Theorem

Support of the invariant measures of the logistic family

Using gradient descent in probability case

Actions on Bernoulli space have almost the same orbits

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