List questions from ergodic-theory

Published on 26 Mar 2026 - 11:18

149

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Show that $\lim_{n \rightarrow \infty} \left(\prod_{i=1}^{n} (a_i+1) \right)^{1/n} $ using Birkhoff Ergodic Theorem

Published on 02 Jan 2015 - 21:25

59

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An ergodic theory problem

Published on 04 Oct 2019 - 16:27

70

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Ergodicity of induced transformation from underlying transformation

Published on 08 Oct 2019 - 14:24

74

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Ergodicity of semiconjugacy

Published on 08 Oct 2019 - 14:36

96

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Mixing system implies induced transformation is mixing

Published on 09 Oct 2019 - 16:51

357

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Decay of tail of a function - relation to integrability

Published on 22 Mar 2026 - 17:21

84

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About Gibbs measure

Published on 26 Mar 2026 - 23:45

101

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Why is the following measure ergodic?

Published on 15 Oct 2019 - 1:02

28

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convolution-invariant subalgebra generated by $f\in L^(X)$

Published on 17 Oct 2019 - 10:39

47

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Properties of the logarithm of a stationary and ergodic process?

Published on 18 Oct 2019 - 19:52

77

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Is there a term for a not-necessarily-convex set whose non-extreme points can be expressed as a linear combination of two other points in the set?

Published on 21 Oct 2019 - 15:17

351

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What is important about absolutely continuous invariant measures?

Published on 21 Oct 2019 - 15:39

339

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Metropolis and limiting distribution

Published on 22 Oct 2019 - 12:34

270

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Weyl equidistribution criterion.

Published on 25 Oct 2019 - 17:18

List Question

If $x=[a_0,a_1,\dots]$ show that $\mu$-almost every $x \in (0,1/N]$ is infinitely recurrent

Show that $\lim_{n \rightarrow \infty} \left(\prod_{i=1}^{n} (a_i+1) \right)^{1/n} $ using Birkhoff Ergodic Theorem

An ergodic theory problem

Ergodicity of induced transformation from underlying transformation

Ergodicity of semiconjugacy

Mixing system implies induced transformation is mixing

Decay of tail of a function - relation to integrability

About Gibbs measure

Why is the following measure ergodic?

convolution-invariant subalgebra generated by $f\in L^(X)$

Properties of the logarithm of a stationary and ergodic process?

Is there a term for a not-necessarily-convex set whose non-extreme points can be expressed as a linear combination of two other points in the set?

What is important about absolutely continuous invariant measures?

Metropolis and limiting distribution

Weyl equidistribution criterion.

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