List questions from ergodic-theory

Published on 22 Dec 2017 - 21:24

425

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Ergodic if and only if time average of measure of intersection equals product of measures

Published on 29 Dec 2017 - 20:12

41

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doubt in inequality measure theory: double sum and integral

Published on 30 Dec 2017 - 14:00

270

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Existence of generic points for a dynamical system

Published on 02 Jan 2018 - 18:09

82

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Show that if $t : \Bbb T →\Bbb T$ is continuous, then we may write $t(θ) = pθ + P (θ)$, where $P : \Bbb R →\Bbb R$ is a $\Bbb Z$-periodic function

Published on 05 Jan 2018 - 11:32

42

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Compute $\sum_{l=1}^\infty N(l)z^l$ (find a simple expression for this sum)

Published on 05 Jan 2018 - 11:42

87

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Equi-distributed sequences for a doubling map?

Published on 25 Mar 2026 - 19:00

251

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Ergodicity and Positive Recurrence

Published on 07 Jan 2018 - 16:06

174

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Flow on a Torus is Transitive iff it is Incommensurate

Published on 25 Mar 2026 - 11:11

225

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Entropy of composition

Published on 31 Mar 2026 - 7:30

45

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Redundant Sets of a map

Published on 08 Jan 2018 - 21:10

45

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Prove that $Σ_m$ is homeomorphic to $Σ^+_m$, $m ≥ 2$

Published on 09 Jan 2018 - 11:56

467

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Entropy of a homeomorphism on a unit circle is zero

Published on 31 Mar 2026 - 5:12

314

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chain transitive

Published on 12 Jan 2018 - 15:06

1.6k

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The fractional parts of the powers of the golden ratio are not equidistributed in [0,1]

Published on 11 Dec 2010 - 15:24

List Question

Best books on ergodic theory

Ergodic if and only if time average of measure of intersection equals product of measures

doubt in inequality measure theory: double sum and integral

Existence of generic points for a dynamical system

Show that if $t : \Bbb T →\Bbb T$ is continuous, then we may write $t(θ) = pθ + P (θ)$, where $P : \Bbb R →\Bbb R$ is a $\Bbb Z$-periodic function

Compute $\sum_{l=1}^\infty N(l)z^l$ (find a simple expression for this sum)

Equi-distributed sequences for a doubling map?

Ergodicity and Positive Recurrence

Flow on a Torus is Transitive iff it is Incommensurate

Entropy of composition

Redundant Sets of a map

Prove that $Σ_m$ is homeomorphic to $Σ^+_m$, $m ≥ 2$

Entropy of a homeomorphism on a unit circle is zero

chain transitive

The fractional parts of the powers of the golden ratio are not equidistributed in [0,1]

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