List questions from ergodic-theory

Published on 06 Mar 2026 - 18:46

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Under a measure preserving transformation of a probability space, I need to show the following.

Published on 08 Mar 2026 - 4:58

909

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Definition of ergodicity and ergodic process

Published on 08 Mar 2026 - 12:34

131

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Understanding Keane and Petersen's proof of Maximal Ergodic Theorem

Published on 08 Mar 2026 - 12:13

61

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On ergodic theory

Published on 07 Mar 2026 - 21:27

396

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Reference of the ergodic theorem in continuous time

Published on 08 Mar 2026 - 9:20

294

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Convergence of ergodic averages

Published on 08 Mar 2026 - 12:30

321

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If $f$ is ergodic, then is $f_n$ ergodic?

Published on 07 Mar 2026 - 13:54

68

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Prove that if $f : M → M$ preserves a probability $\mu$, then for any $k \geq 2 $ $f^k$ preserves $\mu$

Published on 07 Mar 2026 - 12:59

89

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What will be a good book to solve exercises from in ergodic theory?

Published on 09 Mar 2026 - 2:27

32

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$\lim_n \sup \frac{1}{n}\# \{0 ≤ j ≤ n − 1 : f^j(x) ∈ D \} > 0$

Published on 07 Mar 2026 - 16:03

211

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Ergodic transformation on a atomless measure space

Published on 08 Mar 2026 - 8:37

273

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The block $617$ occurs infinitely many times in the decimal expansion of almost every $x ∈ [0,1]$

Published on 08 Mar 2026 - 11:18

109

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Consider the sequence $1,2,4,8,...,a^n = 2^n,...$ of all the powers of $2$

Published on 08 Mar 2026 - 12:28

309

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Weak Convergence of Probability Measures (Proving integrals converge if measures do)

Published on 08 Mar 2026 - 15:50

List Question

Koopman-von Neumann Decomposition Properties

Under a measure preserving transformation of a probability space, I need to show the following.

Definition of ergodicity and ergodic process

Understanding Keane and Petersen's proof of Maximal Ergodic Theorem

On ergodic theory

Reference of the ergodic theorem in continuous time

Convergence of ergodic averages

If $f$ is ergodic, then is $f_n$ ergodic?

Prove that if $f : M → M$ preserves a probability $\mu$, then for any $k \geq 2 $ $f^k$ preserves $\mu$

What will be a good book to solve exercises from in ergodic theory?

$\lim_n \sup \frac{1}{n}\# \{0 ≤ j ≤ n − 1 : f^j(x) ∈ D \} > 0$

Ergodic transformation on a atomless measure space

The block $617$ occurs infinitely many times in the decimal expansion of almost every $x ∈ [0,1]$

Consider the sequence $1,2,4,8,...,a^n = 2^n,...$ of all the powers of $2$

Weak Convergence of Probability Measures (Proving integrals converge if measures do)

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