User Julian Newman

4 votes

0 answers

125 views

Is there a name for this slightly stronger version of Cesàro convergence which "more quickly ignores earlier terms"?

asked Mar 5, 2020 at 16:12

4 votes

0 answers

102 views

Are smooth dynamical systems stabilised by "sufficient noisiness"?

asked Jul 18 at 21:31

3 votes

1 answer

458 views

Does the Krylov-Bogolyubov construction preserve "ergodic statistics"?

asked Aug 5 at 22:57

3 votes

1 answer

89 views

Can the set of compact metrisable topologies naturally be equipped with the structure of a standard Borel space?

asked Mar 1, 2023 at 14:18

3 votes

0 answers

69 views

For skew product maps, does ergodicity of the two-point motion imply weak mixing?

asked Dec 8, 2017 at 15:00

3 votes

2 answers

340 views

How far can the domain of definition of multiplier operators be extended?

asked Feb 16, 2018 at 17:18

3 votes

2 answers

271 views

For a SDE with smooth transition densities, if every point is "path-accessible", is every positive-measure set probabilistically accessible?

asked Jun 8, 2022 at 18:18

3 votes

1 answer

155 views

Is it a named result (or consequence thereof) that decreasing functions integrable against $e^{kx}$ decay faster than $e^{-kx}$?

asked Mar 16, 2022 at 19:53

3 votes

1 answer

123 views

Does a sequence of coin-tosses a.s. have a subsequence on which the remainder of the sequence can be identified with the position in the sequence?

asked Mar 24, 2022 at 15:22

3 votes

3 answers

613 views

Does mixing automatically imply this seemingly stronger "uniform modulo re-ordering" version of mixing?

asked Mar 26, 2022 at 15:13

3 votes

0 answers

103 views

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?

asked Feb 18, 2020 at 18:44

3 votes

0 answers

259 views

Do the Birkhoff averages of a measurable stationary homogeneous Markov process in continuous time "converge to the right limit"?

asked Mar 10, 2015 at 3:32

3 votes

0 answers

108 views

Has there been any study of the "extreme convergence property" for martingales?

asked Nov 15, 2017 at 19:23

3 votes

1 answer

318 views

Can a weaker version of the Hausdorff paradox be proved without AC?

asked Feb 26, 2017 at 0:04

3 votes

0 answers

210 views

Is the homeomorphism group of a Polish space a measurable group?

asked Apr 29, 2017 at 1:19

3 votes

1 answer

284 views

Is it possible for a random nowhere dense closed set to have a positive probability of hitting any given point?

asked Dec 11, 2015 at 16:24

3 votes

1 answer

463 views

"Strongly mutually singular" families of measures, and the set of ergodic measures

asked Aug 2, 2016 at 23:53

3 votes

1 answer

107 views

Existence or otherwise of a set of "sufficiently intricate" open sets

asked Nov 17, 2015 at 17:57

2 votes

1 answer

413 views

Is it true that all stationary measurable stochastic processes are "measurably stationary"?

asked Sep 23, 2014 at 14:52

2 votes

1 answer

222 views

Does every measure-preserving dynamical system admit a backward orbit?

asked Mar 11, 2015 at 21:08

2 votes

1 answer

615 views

Does a positive-measure subset of the unit interval almost surely intersect a random translation of some countable subgroup of $\mathbb{R}$?

asked Jun 28, 2015 at 1:52

2 votes

0 answers

228 views

Functions with "gradients of bounded variation"

asked Jun 5, 2011 at 14:33

2 votes

0 answers

91 views

Null sets visited infinitely often by trajectories of the shift dynamical system

asked Feb 21, 2014 at 16:20

2 votes

0 answers

81 views

Link between presence of attracting random fixed points and synchronisation - is this an open question?

asked Mar 13, 2014 at 17:44

2 votes

0 answers

252 views

Can one define a bounded noise process by conditioning standard Gaussian white noise on the assumption of boundedness?

asked Sep 28, 2020 at 23:35

2 votes

0 answers

261 views

Reference for Borel $\sigma$-algebra of topology of convergence in probability

asked Mar 7, 2020 at 19:13

2 votes

1 answer

294 views

Are the jumps of a càdlàg function "summable"?

asked Aug 1, 2023 at 21:26

2 votes

0 answers

68 views

Is it known whether 2-mixing continuous systems on a compact metric space are necessarily "pseudo-3-mixing"?

asked Aug 5, 2023 at 17:31

2 votes

1 answer

133 views

Can convergence in distribution necessarily be realised by almost-sure convergence?

asked Oct 9, 2023 at 21:07

2 votes

0 answers

98 views

Has this "optimal constrained transport" notion of convergence of measures been named and/or studied?

asked Feb 15, 2022 at 0:38

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89 Questions

Is there a name for this slightly stronger version of Cesàro convergence which "more quickly ignores earlier terms"?

Are smooth dynamical systems stabilised by "sufficient noisiness"?

Does the Krylov-Bogolyubov construction preserve "ergodic statistics"?

Can the set of compact metrisable topologies naturally be equipped with the structure of a standard Borel space?

For skew product maps, does ergodicity of the two-point motion imply weak mixing?

How far can the domain of definition of multiplier operators be extended?

For a SDE with smooth transition densities, if every point is "path-accessible", is every positive-measure set probabilistically accessible?

Is it a named result (or consequence thereof) that decreasing functions integrable against $e^{kx}$ decay faster than $e^{-kx}$?

Does a sequence of coin-tosses a.s. have a subsequence on which the remainder of the sequence can be identified with the position in the sequence?

Does mixing automatically imply this seemingly stronger "uniform modulo re-ordering" version of mixing?

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?

Do the Birkhoff averages of a measurable stationary homogeneous Markov process in continuous time "converge to the right limit"?

Has there been any study of the "extreme convergence property" for martingales?

Can a weaker version of the Hausdorff paradox be proved without AC?

Is the homeomorphism group of a Polish space a measurable group?

Is it possible for a random nowhere dense closed set to have a positive probability of hitting any given point?

"Strongly mutually singular" families of measures, and the set of ergodic measures

Existence or otherwise of a set of "sufficiently intricate" open sets

Is it true that all stationary measurable stochastic processes are "measurably stationary"?

Does every measure-preserving dynamical system admit a backward orbit?

Does a positive-measure subset of the unit interval almost surely intersect a random translation of some countable subgroup of $\mathbb{R}$?

Functions with "gradients of bounded variation"

Null sets visited infinitely often by trajectories of the shift dynamical system

Link between presence of attracting random fixed points and synchronisation - is this an open question?

Can one define a bounded noise process by conditioning standard Gaussian white noise on the assumption of boundedness?

Reference for Borel $\sigma$-algebra of topology of convergence in probability

Are the jumps of a càdlàg function "summable"?

Is it known whether 2-mixing continuous systems on a compact metric space are necessarily "pseudo-3-mixing"?

Can convergence in distribution necessarily be realised by almost-sure convergence?

Has this "optimal constrained transport" notion of convergence of measures been named and/or studied?