List questions from ergodic-theory

Published on 01 Apr 2026 - 23:53

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Example of an ergodic transformation with some properties in the spectrum of the Koopman operator

Published on 25 Apr 2022 - 15:27

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Drunken king on chessboard: Why is the probability that the king is on each square proportional to the number of adjacent squares?

Published on 26 Mar 2026 - 21:13

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how to cover the unit interval by using shift operators

Published on 03 May 2022 - 8:18

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Prove Kolmogorov's strong law of large numbers from Breiman ergodic theorem

Published on 31 Mar 2026 - 17:51

148

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Existence of a minimal continuous map on $S^1 \times [0, 1]$

Published on 24 Feb 2026 - 13:11

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Periodic points of the dynamical system $(K,\varphi)$ and Periodic Maximal Ideals in its associated Koopman system $(C(K),T_{\varphi})$

Published on 23 Feb 2026 - 10:20

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Density of CLT functions for ergodic dynamical systems

Published on 09 May 2022 - 12:47

125

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Convergence of measures on a compact metric space

Published on 17 May 2022 - 22:06

97

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Understanding Rokhlin's theorem of cross-sections

Published on 02 Apr 2026 - 1:33

45

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Product of ergodic system with rotation of cyclic group of finite order.

Published on 19 May 2022 - 10:52

160

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Definition of essentially T-invariant function

Published on 21 May 2022 - 5:32

244

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Durrett's Probability: Theorem 6.2.6

Published on 26 Mar 2026 - 4:49

70

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Ergodicity on a finite set

Published on 26 Mar 2026 - 21:08

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Understanding the Definition of the Koopman Operator

Published on 23 Feb 2026 - 10:18

List Question

What is special about the maps whose measure-theoretic entropy is equal to zero?

Example of an ergodic transformation with some properties in the spectrum of the Koopman operator

Drunken king on chessboard: Why is the probability that the king is on each square proportional to the number of adjacent squares?

how to cover the unit interval by using shift operators

Prove Kolmogorov's strong law of large numbers from Breiman ergodic theorem

Existence of a minimal continuous map on $S^1 \times [0, 1]$

Periodic points of the dynamical system $(K,\varphi)$ and Periodic Maximal Ideals in its associated Koopman system $(C(K),T_{\varphi})$

Density of CLT functions for ergodic dynamical systems

Convergence of measures on a compact metric space

Understanding Rokhlin's theorem of cross-sections

Product of ergodic system with rotation of cyclic group of finite order.

Definition of essentially T-invariant function

Durrett's Probability: Theorem 6.2.6

Ergodicity on a finite set

Understanding the Definition of the Koopman Operator

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