List questions from ergodic-theory

Published on 19 Mar 2026 - 19:46

250

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Kac Lemma for Ergodic Stationary Process

Published on 17 Mar 2026 - 10:57

542

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Ergodicity of a skew product

Published on 20 Mar 2026 - 11:09

121

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Is every dynamical system approaching independence isomorphic to a Bernoulli system?

Published on 19 Mar 2026 - 22:17

124

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Infinite dimensional analysis

Published on 20 Mar 2026 - 13:40

704

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Poincaré's Recurrence Theorem

Published on 22 Mar 2026 - 7:40

104

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Chain recurrent set is the set of fixed points?

Published on 20 Mar 2026 - 5:32

190

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Is this chaotic map known?

Published on 20 Mar 2026 - 4:19

341

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A complex root of unity and "dense" property of the its orbit on the unit circle

Published on 20 Mar 2026 - 6:38

132

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Books on ergodic operators

Published on 22 Mar 2026 - 9:20

82

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Show there is a topologically conjugate

Published on 19 Mar 2026 - 17:39

21

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Is a typical set orbit from an ergodic system ($f,\mu$) distinguishable from a countable set of $\mu$-IID draws?

Published on 17 Mar 2026 - 9:29

48

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Prove that for all $\lim_{n\to\infty} \frac 1n \sum_{j=0}^{n-1} \chi_B(T^{j}(x_0)= \frac 1k \sum_{j=0}^{k-1} \chi_B(T^{j}(x_0)$

Published on 17 Mar 2026 - 11:29

40

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Prove that the rotation map $T : \Bbb T → \Bbb T$ defined as $T(x) = x + 3/4$ mod $1$ is not ergodic

Published on 17 Mar 2026 - 6:44

972

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What are the different subjects in number theory to do research?

Published on 17 Mar 2026 - 12:42

List Question

the mathematics of stirring

Kac Lemma for Ergodic Stationary Process

Ergodicity of a skew product

Is every dynamical system approaching independence isomorphic to a Bernoulli system?

Infinite dimensional analysis

Poincaré's Recurrence Theorem

Chain recurrent set is the set of fixed points?

Is this chaotic map known?

A complex root of unity and "dense" property of the its orbit on the unit circle

Books on ergodic operators

Show there is a topologically conjugate

Is a typical set orbit from an ergodic system ($f,\mu$) distinguishable from a countable set of $\mu$-IID draws?

Prove that for all $\lim_{n\to\infty} \frac 1n \sum_{j=0}^{n-1} \chi_B(T^{j}(x_0)= \frac 1k \sum_{j=0}^{k-1} \chi_B(T^{j}(x_0)$

Prove that the rotation map $T : \Bbb T → \Bbb T$ defined as $T(x) = x + 3/4$ mod $1$ is not ergodic

What are the different subjects in number theory to do research?

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