List questions from ergodic-theory

Published on 26 Mar 2026 - 20:36

211

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Is the average of a dense orbit ergodic for shift function?

Published on 02 Dec 2014 - 9:51

1.2k

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The "muscle" behind the fact that ergodic measures are mutually singular

Published on 03 Dec 2014 - 16:35

482

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Krengel's ergodic theorem

Published on 05 Dec 2014 - 18:39

259

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Entropy of beta-expansion

Published on 26 Mar 2026 - 20:39

79

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Cesaro bounded.

Published on 07 Dec 2014 - 19:23

126

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Lemma 1.7 in chapter 5 in Ergodic Theorems by Ulrich Krengel.

Published on 12 Dec 2014 - 12:30

662

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Understanding the proof of an Ergodic theorem for Markov chains

Published on 15 Dec 2014 - 3:03

284

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a question on quasi-invariant measures (with respect to the irrational rotations) on the unit circle

Published on 16 Dec 2014 - 17:29

99

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The map Ti=i+1 mod N is uniquely ergodic

Published on 21 Dec 2014 - 12:57

70

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Variation on ergodic estimates

Published on 26 Dec 2014 - 0:16

3.2k

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Ergodicity of irrational rotation

Published on 30 Dec 2014 - 17:06

48

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A polynomial equality for the square of a self-adjoint positive contraction in $L^2$ -- from Krengel's book Ergodic theorems

Published on 31 Dec 2014 - 16:23

234

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Show that $Per_n(f)$ of periodic points of period $n$ is finite

Published on 31 Dec 2014 - 17:20

91

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Show that $ \lim_{n \rightarrow \infty} \frac{|f(T^n(x))|}{n}=0 $

Published on 31 Dec 2014 - 18:24

List Question

Summation methods and entropy

Is the average of a dense orbit ergodic for shift function?

The "muscle" behind the fact that ergodic measures are mutually singular

Krengel's ergodic theorem

Entropy of beta-expansion

Cesaro bounded.

Lemma 1.7 in chapter 5 in Ergodic Theorems by Ulrich Krengel.

Understanding the proof of an Ergodic theorem for Markov chains

a question on quasi-invariant measures (with respect to the irrational rotations) on the unit circle

The map Ti=i+1 mod N is uniquely ergodic

Variation on ergodic estimates

Ergodicity of irrational rotation

A polynomial equality for the square of a self-adjoint positive contraction in $L^2$ -- from Krengel's book Ergodic theorems

Show that $Per_n(f)$ of periodic points of period $n$ is finite

Show that $ \lim_{n \rightarrow \infty} \frac{|f(T^n(x))|}{n}=0 $

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