Question

Are there infinitely many $n$ such that $2^n$ and $3^n$ both have first digit $7$? (exercise in ergodic theory)

score 188 · Answer 1 · 2020-06-13 17:15:32

188

Views

Are there infinitely many $n$ such that $2^n$ and $3^n$ both have first digit $7$? (exercise in ergodic theory)

Published on 13 Jun 2020 - 17:15

score 64 · Answer 2 · 2026-02-23 03:00:00

64

Views

Implications of $\inf_{\left\|x\right\|,\left\|y\right\|\le c}\sup_{\gamma\text{ coupling of }δ_xκ,δ_yκ}\gamma\left(\{\rho<δ\}\right)>0$

Published on 23 Feb 2026 - 3:00

score 535 · Answer 3 · 2020-06-22 17:11:23

535

Views

Real world applications of topological & symbolic dynamical systems and ergodic theory?

Published on 22 Jun 2020 - 17:11

score 234 · Answer 4 · 2020-06-27 01:14:24

234

Views

Proof of $L^{\infty}$ mean ergodic theorem

Published on 27 Jun 2020 - 1:14

score 87 · Answer 5 · 2020-06-30 22:27:49

87

Views

Is there $\varphi$-invariant measure with full support

Published on 30 Jun 2020 - 22:27

score 52 · Answer 6 · 2020-07-02 01:17:58

52

Views

Subsets of the surface of a sphere that are invariant under all rotations

Published on 02 Jul 2020 - 1:17

score 587 · Answer 7 · 2020-07-03 00:23:01

587

Views

Spectrum of Koopman operator

Published on 03 Jul 2020 - 0:23

score 41 · Answer 8 · 2020-07-14 01:21:40

41

Views

Entropy and Equivalence,why is this colection is non-empty?

Published on 14 Jul 2020 - 1:21

score 278 · Answer 9 · 2020-07-16 12:52:39

278

Views

Spectral Characterization of Strong-Mixing

Published on 16 Jul 2020 - 12:52

score 257 · Answer 10 · 2020-07-19 19:14:40

257

Views

Recurrence and ergodicity for non-measure preserving transforms

Published on 19 Jul 2020 - 19:14

score 274 · Answer 11 · 2026-03-28 08:49:36

274

Views

Does pairwise independence and same distribution imply trivial Invariant $\sigma$-algebra?

Published on 28 Mar 2026 - 8:49

score 139 · Answer 12 · 2020-07-21 16:40:56

139

Views

limit of arithmetic mean of $|\sin n|$, $n\in\mathbb{N}$

Published on 21 Jul 2020 - 16:40

score 48 · Answer 13 · 2020-07-23 14:01:23

48

Views

$T^2$ is measure preserving but $T$ is not measure preserving

Published on 23 Jul 2020 - 14:01

score 96 · Answer 14 · 2026-03-25 23:35:04

96

Views

Solution to Poisson's equation for linear function

Published on 25 Mar 2026 - 23:35

score 211 · Answer 15 · 2020-07-29 18:56:40

211

Views

When is a limit of measure preserving maps also measure preserving?

Published on 29 Jul 2020 - 18:56

List Question

Are there infinitely many $n$ such that $2^n$ and $3^n$ both have first digit $7$? (exercise in ergodic theory)

Implications of $\inf_{\left\|x\right\|,\left\|y\right\|\le c}\sup_{\gamma\text{ coupling of }δ_xκ,δ_yκ}\gamma\left(\{\rho<δ\}\right)>0$

Real world applications of topological & symbolic dynamical systems and ergodic theory?

Proof of $L^{\infty}$ mean ergodic theorem

Is there $\varphi$-invariant measure with full support

Subsets of the surface of a sphere that are invariant under all rotations

Spectrum of Koopman operator

Entropy and Equivalence,why is this colection is non-empty?

Spectral Characterization of Strong-Mixing

Recurrence and ergodicity for non-measure preserving transforms

Does pairwise independence and same distribution imply trivial Invariant $\sigma$-algebra?

limit of arithmetic mean of $|\sin n|$, $n\in\mathbb{N}$

$T^2$ is measure preserving but $T$ is not measure preserving

Solution to Poisson's equation for linear function

When is a limit of measure preserving maps also measure preserving?

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