User Julian Newman

7 votes

Definition of random measures

answered Feb 22, 2020 at 1:07

4 votes

Sufficient conditions for a SDE to have a stationary probability measure

answered Jun 9, 2022 at 21:54

4 votes

Accepted

Do regular conditional distributions almost surely assign trivial measure to all members of the conditioning $\sigma$-algebra?

answered Aug 13, 2014 at 20:46

4 votes

Accepted

Is "conditioning to a sub-$\sigma$-algebra" a measurable operation?

answered Mar 12, 2017 at 0:23

4 votes

Accepted

Can a periodically additively perturbed sinusoidal vector field on the circle have a stable periodic orbit of higher least period?

answered Oct 26, 2017 at 1:08

3 votes

Accepted

Birkhoff Ergodic Theorem and Ergodic Decomposition Theorem for Continuous-Time Markov Processes

answered Mar 10, 2015 at 3:06

3 votes

Accepted

Convergence of Radon Nikodym derivatives

answered Mar 7, 2017 at 6:40

2 votes

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

answered Feb 26, 2017 at 21:11

2 votes

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

answered Jun 9, 2022 at 7:04

1 vote

Accepted

Taylor's theorem for a composition with $\min:\mathbb R^2\to\mathbb R$ and differentiability Lebesgue almost everywhere

answered May 11, 2019 at 2:10

1 vote

Are the jumps of a càdlàg function "summable"?

answered Aug 2, 2023 at 1:12

1 vote

Accepted

Does the "random Krylov-Bogolyubov theorem" hold in a non-skew-product setting?

answered Jul 10 at 15:58

1 vote

Accepted

Shift-ergodic stochastic processes in continuous time

answered Jan 24, 2023 at 23:31

1 vote

Is there a natural measurable structure on the $\sigma$-algebra of a measurable space?

answered Mar 1, 2023 at 16:35

1 vote

Accepted

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

answered Dec 28, 2015 at 1:31

1 vote

Weaker version of the martingale convergence theorem

answered Nov 16, 2017 at 1:19

0 votes

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

answered Feb 24, 2018 at 18:58

0 votes

Infima of conditional densities after disintegration

answered Aug 12, 2014 at 17:34

0 votes

Invariant and periodic measures of the random dynamical system on the circle generated by $d\theta_t=dW_t$

answered Jul 16, 2015 at 0:37

0 votes

Accepted

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

answered May 3, 2023 at 0:57

0 votes

Is there a generalised version of the Donsker invariance principle for a "sort-of continuous-time-random-walk"?

answered May 24, 2020 at 2:11

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21 Answers

Definition of random measures

Sufficient conditions for a SDE to have a stationary probability measure

Do regular conditional distributions almost surely assign trivial measure to all members of the conditioning $\sigma$-algebra?

Is "conditioning to a sub-$\sigma$-algebra" a measurable operation?

Can a periodically additively perturbed sinusoidal vector field on the circle have a stable periodic orbit of higher least period?

Birkhoff Ergodic Theorem and Ergodic Decomposition Theorem for Continuous-Time Markov Processes

Convergence of Radon Nikodym derivatives

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

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

Taylor's theorem for a composition with $\min:\mathbb R^2\to\mathbb R$ and differentiability Lebesgue almost everywhere

Are the jumps of a càdlàg function "summable"?

Does the "random Krylov-Bogolyubov theorem" hold in a non-skew-product setting?

Shift-ergodic stochastic processes in continuous time

Is there a natural measurable structure on the $\sigma$-algebra of a measurable space?

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

Weaker version of the martingale convergence theorem

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

Infima of conditional densities after disintegration

Invariant and periodic measures of the random dynamical system on the circle generated by $d\theta_t=dW_t$

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

Is there a generalised version of the Donsker invariance principle for a "sort-of continuous-time-random-walk"?