List questions from ergodic-theory

Published on 25 Mar 2026 - 11:00

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Which of the open problems in Halmos's Lectures on Ergodic Theoy are still open today?

Published on 25 Nov 2018 - 8:31

320

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Ergodic action of dense subgroup

Published on 27 Nov 2018 - 15:23

163

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Equivalence of definitions of ergodic action

Published on 28 Nov 2018 - 9:58

118

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Strong Folner condition(SFC) implies the existence of a left Følner sequence.

Published on 22 Mar 2026 - 3:27

658

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Topological conjugacy between dyadic map and tent map

Published on 30 Nov 2018 - 12:16

1.9k

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What is the difference between ergodicity and the law of large numbers?

Published on 05 Dec 2018 - 5:22

36

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How to interpret a theorem stating that orbits are "uniform on average"

Published on 05 Dec 2018 - 21:23

186

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Countable open cover up to a null set

Published on 25 Mar 2026 - 12:20

154

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Examples of non-abelian simply connected nilpotent Lie groups.

Published on 13 Dec 2018 - 0:16

149

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Markov measure on cylinders

Published on 15 Dec 2018 - 18:45

340

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What is the mixing time of a random walk of a rook

Published on 25 Mar 2026 - 9:09

54

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The action of $SO(n + 1)$ on $S^n$ is ergodic

Published on 18 Dec 2018 - 19:02

112

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Can ergodicity be checked by restricting attention to continuous maps?

Published on 19 Dec 2018 - 13:43

669

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Recurrent Markov chain has an invariant measure

Published on 20 Dec 2018 - 8:31

List Question

Dynamic system $f(x) = 2x$ mod $1$

Which of the open problems in Halmos's Lectures on Ergodic Theoy are still open today?

Ergodic action of dense subgroup

Equivalence of definitions of ergodic action

Strong Folner condition(SFC) implies the existence of a left Følner sequence.

Topological conjugacy between dyadic map and tent map

What is the difference between ergodicity and the law of large numbers?

How to interpret a theorem stating that orbits are "uniform on average"

Countable open cover up to a null set

Examples of non-abelian simply connected nilpotent Lie groups.

Markov measure on cylinders

What is the mixing time of a random walk of a rook

The action of $SO(n + 1)$ on $S^n$ is ergodic

Can ergodicity be checked by restricting attention to continuous maps?

Recurrent Markov chain has an invariant measure

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