List questions from ergodic-theory

Published on 17 Apr 2015 - 14:48

217

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Properties of the space of $ T $-invariant probability measures over a compact topological space.

Published on 19 Apr 2015 - 18:33

873

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Angle-doubling map is mixing

Published on 20 Apr 2015 - 20:51

145

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How to show that there's a continuous function separating convex sets of Radon measures?

Published on 22 Apr 2015 - 16:54

50

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Application $\pi$-$\lambda$ lemma one-sided Markov shift

Published on 27 Apr 2015 - 13:43

971

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Torus translation is ergodic if and only if the components of the translation vector are rationally independent.

Published on 04 May 2015 - 19:16

1.3k

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Definition of Lebesgue measure on the Circle $X=\mathbb{R}/\mathbb{Z}$.

Published on 10 May 2015 - 15:31

1.2k

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Baker's map is ergodic

Published on 26 Mar 2026 - 8:14

320

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Shannon's definition of ergodicity

Published on 20 May 2015 - 21:27

90

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Relation between hitting and return time.

Published on 03 Jun 2015 - 17:23

881

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Translation invariant event in percolation theory in $\mathbb{Z}^d$

Published on 25 Mar 2026 - 3:20

211

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If $f(x) \le f(Tx)$ then $f(x)=f(Tx)$ almost everywhere ( $T$ is $\mu$-invariant )

Published on 08 Jun 2015 - 8:05

39

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Linear affine random dynamical systems - positive Lyapunov index proof check?

Published on 27 Mar 2026 - 23:13

104

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Subadditive sequence

Published on 08 Jun 2015 - 15:24

412

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Kac Lemma for staionary ergodic processes

Published on 18 Jun 2015 - 20:50

List Question

Application Birkhoff ergodic theorem

Properties of the space of $ T $-invariant probability measures over a compact topological space.

Angle-doubling map is mixing

How to show that there's a continuous function separating convex sets of Radon measures?

Application $\pi$-$\lambda$ lemma one-sided Markov shift

Torus translation is ergodic if and only if the components of the translation vector are rationally independent.

Definition of Lebesgue measure on the Circle $X=\mathbb{R}/\mathbb{Z}$.

Baker's map is ergodic

Shannon's definition of ergodicity

Relation between hitting and return time.

Translation invariant event in percolation theory in $\mathbb{Z}^d$

If $f(x) \le f(Tx)$ then $f(x)=f(Tx)$ almost everywhere ( $T$ is $\mu$-invariant )

Linear affine random dynamical systems - positive Lyapunov index proof check?

Subadditive sequence

Kac Lemma for staionary ergodic processes

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