List questions from ergodic-theory

Published on 29 Mar 2026 - 2:29

77

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Uniform law of large numbers for ergodic stationary sequence

Published on 28 Mar 2026 - 22:28

71

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Oddity in definition(s) of quasi compact operator

Published on 03 Feb 2024 - 17:46

12

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When do mixtures of ergodic Markov kernels remain ergodic?

Published on 23 Feb 2026 - 16:22

83

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A maximal invariant generates the invariant $\sigma$-algebra

Published on 29 Mar 2026 - 6:02

40

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Application of ergodic theorem to transformed Gaussian process

Published on 29 Mar 2026 - 2:36

42

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A special case of Birkhoff's ergodic theorem for a nonexpansive map

Published on 15 Feb 2024 - 8:54

27

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Sufficient condition for the convergence of the time average of a dynamical system

Published on 20 Feb 2024 - 13:40

46

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Properties of converging succession of functionals

Published on 21 Mar 2026 - 2:42

62

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Examples of specific points $g\in G:=\text{SL}(2,\mathbb R)$ such that the curve $u_tg \Gamma, \Gamma:=\text{SL}(2,\mathbb Z)$ is dense in $G/\Gamma$?

Published on 26 Mar 2026 - 13:45

29

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Prove that there exist an $\varepsilon>0$ and $N$, such that for every $n\geq N$, $\mu(A_n\Delta A)\leq \varepsilon$

Published on 29 Mar 2026 - 5:43

40

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For a non-singular transformation $T$ the operator $f\mapsto f\circ T$ is an isometry on $\mathcal L^\infty(X,\mu)$

Published on 06 Mar 2024 - 7:20

57

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Every ergodic invariant measure of one dimensional dynamical system is a Dirac measure

Published on 26 Mar 2026 - 16:05

58

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Probability of All Decimal Digits Appearing in a Ten-Digit-Block of Pi Assuming Normality

Published on 25 Mar 2026 - 9:21

35

Views

Why is a rigid rotation on a torus ergodic?

Published on 13 Mar 2024 - 14:13

List Question

Entropy for flows via reparametrizations

Uniform law of large numbers for ergodic stationary sequence

Oddity in definition(s) of quasi compact operator

When do mixtures of ergodic Markov kernels remain ergodic?

A maximal invariant generates the invariant $\sigma$-algebra

Application of ergodic theorem to transformed Gaussian process

A special case of Birkhoff's ergodic theorem for a nonexpansive map

Sufficient condition for the convergence of the time average of a dynamical system

Properties of converging succession of functionals

Examples of specific points $g\in G:=\text{SL}(2,\mathbb R)$ such that the curve $u_tg \Gamma, \Gamma:=\text{SL}(2,\mathbb Z)$ is dense in $G/\Gamma$?

Prove that there exist an $\varepsilon>0$ and $N$, such that for every $n\geq N$, $\mu(A_n\Delta A)\leq \varepsilon$

For a non-singular transformation $T$ the operator $f\mapsto f\circ T$ is an isometry on $\mathcal L^\infty(X,\mu)$

Every ergodic invariant measure of one dimensional dynamical system is a Dirac measure

Probability of All Decimal Digits Appearing in a Ten-Digit-Block of Pi Assuming Normality

Why is a rigid rotation on a torus ergodic?

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