Julian Newman's user avatar
Julian Newman's user avatar
Julian Newman's user avatar
Julian Newman
  • Member for 11 years, 8 months
  • Last seen this week
  • London, UK
15 votes
1 answer
2k views

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

10 votes
2 answers
778 views

Some "axiom of choice" and "dependent choice" issues

10 votes
2 answers
2k views

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

9 votes
1 answer
787 views

Do the Lebesgue-null sets cover "all the sets can naturally be regarded as sort-of-null sets"?

9 votes
2 answers
280 views

Is this Riccati equation ("Josephson junction") always phase-locked at integer rotation numbers?

9 votes
0 answers
228 views

Is the inverse of a measurably parametrised family of bijections between standard Borel spaces measurably parametrised?

9 votes
0 answers
167 views

For measure-preserving systems, is countable generatability of the invariant $\sigma$-algebra equivalent to almost all points being periodic?

8 votes
2 answers
350 views

Can Birkhoff's ergodic theorem for integrable functions easily be deduced from Birkhoff's ergodic theorem for bounded functions?

8 votes
3 answers
759 views

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

7 votes
2 answers
238 views

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

5 votes
0 answers
113 views

Is there a name for a bifurcation where a stable fixed point bifurcates into three fixed points: stable, unstable and saddle?

5 votes
1 answer
241 views

Can the integral of a "generic" bounded measurable function be determined by its values on the rationals?

5 votes
1 answer
134 views

Is the topology of weak+Hausdorff convergence Polish?

5 votes
1 answer
229 views

Is there a name for a "stable" physical measure?

4 votes
0 answers
123 views

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

4 votes
0 answers
125 views

Convergence of integral formula for Fourier inversion (and Hilbert transform) for integrable piecewise-smooth functions

4 votes
0 answers
475 views

Does the strong Markov property imply the "really strong Markov" property?

4 votes
0 answers
207 views

Can the wavelet bispectrum be normalised so that its integral "gives the right answer"?

4 votes
1 answer
119 views

Sufficient conditions for a SDE to have a stationary probability measure

4 votes
1 answer
127 views

Is every convex subset of a Borel-linearly ordered space measurable?

4 votes
1 answer
211 views

Is it possible for a separable metric and a non-separable metric to have the same Borel $\sigma$-algebra?

4 votes
0 answers
199 views

Does it make sense to regard the graph of any function as being a "sort-of-null set"?

4 votes
1 answer
1k views

Are all linear transformations measurable?

4 votes
1 answer
328 views

Characterising ergodicity of continuous maps

3 votes
0 answers
105 views

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

3 votes
1 answer
285 views

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

3 votes
0 answers
166 views

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

3 votes
1 answer
252 views

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

3 votes
1 answer
353 views

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

3 votes
1 answer
104 views

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