Question

Is Hilbert's space-filling curve measure preserving?

score 303 · Answer 1 · 2026-04-11 07:24:32

303

Views

Is Hilbert's space-filling curve measure preserving?

Published on 11 Apr 2026 - 7:24

score 1.4k · Answer 2 · 2026-04-11 06:22:26

1.4k

Views

Relation between Laplace transform and measures.

Published on 11 Apr 2026 - 6:22

score 225 · Answer 3 · 2026-04-09 12:11:28

225

Views

Open and compact in Lebesgue measure

Published on 09 Apr 2026 - 12:11

score 299 · Answer 4 · 2026-04-13 06:19:16

299

Views

Trying to construct simple example of a 'spectral measure' $\mu_\psi$ for the expression $(\psi,f(A)\psi) = \int_{\sigma(A)} f(\lambda)d\mu_\psi$?

Published on 13 Apr 2026 - 6:19

score 952 · Answer 5 · 2026-04-12 18:52:07

952

Views

Prove that smallest $\sigma$-algebra on a partition is $\left\{\bigcup_{i \in I} A_i : I \subseteq \{1,...,n\}\right\}$

Published on 12 Apr 2026 - 18:52

score 242 · Answer 6 · 2026-04-16 07:22:01

242

Views

Space of finite measures as an $L_1$ space

Published on 16 Apr 2026 - 7:22

score 35 · Answer 7 · 2026-04-15 20:17:34

35

Views

Are wellbehaved functions $f: \mathbb R^\infty \to \mathbb {R^\infty}$ sometimes non-measurable?

Published on 15 Apr 2026 - 20:17

score 202 · Answer 8 · 2026-04-10 23:31:09

202

Views

Closed subset with measure arbitrarily close to original set

Published on 10 Apr 2026 - 23:31

score 65 · Answer 9 · 2026-04-15 00:28:40

65

Views

If closed under countable intersection, then also closed closed under countable union

Published on 15 Apr 2026 - 0:28

score 109 · Answer 10 · 2026-04-11 12:54:29

109

Views

Is the Fréchet derivative of a measurable function measurable?

Published on 11 Apr 2026 - 12:54

score 344 · Answer 11 · 2026-04-24 21:37:07

344

Views

Radon–Nikodym derivative with another variable is a martingale

Published on 24 Apr 2026 - 21:37

score 102 · Answer 12 · 2026-04-16 23:52:11

102

Views

$X_1,...,X_n$ be independent RVs and $X_i \perp \mathcal F $ for $1\ \leq \forall i \leq n$. Show that $\sigma (X_1,...,X_n) \perp \mathcal F$

Published on 16 Apr 2026 - 23:52

score 853 · Answer 13 · 2026-04-15 00:00:01

853

Views

examples of random variables that are not measurable

Published on 15 Apr 2026 - 0:00

score 254 · Answer 14 · 2026-04-12 00:49:15

254

Views

Are probability measures induced by random variables always regular?

Published on 12 Apr 2026 - 0:49

score 241 · Answer 15 · 2026-04-11 00:01:33

241

Views

A bit of confusion in finding invariant measures

Published on 11 Apr 2026 - 0:01

List Question

Is Hilbert's space-filling curve measure preserving?

Relation between Laplace transform and measures.

Open and compact in Lebesgue measure

Trying to construct simple example of a 'spectral measure' $\mu_\psi$ for the expression $(\psi,f(A)\psi) = \int_{\sigma(A)} f(\lambda)d\mu_\psi$?

Prove that smallest $\sigma$-algebra on a partition is $\left\{\bigcup_{i \in I} A_i : I \subseteq \{1,...,n\}\right\}$

Space of finite measures as an $L_1$ space

Are wellbehaved functions $f: \mathbb R^\infty \to \mathbb {R^\infty}$ sometimes non-measurable?

Closed subset with measure arbitrarily close to original set

If closed under countable intersection, then also closed closed under countable union

Is the Fréchet derivative of a measurable function measurable?

Radon–Nikodym derivative with another variable is a martingale

$X_1,...,X_n$ be independent RVs and $X_i \perp \mathcal F $ for $1\ \leq \forall i \leq n$. Show that $\sigma (X_1,...,X_n) \perp \mathcal F$

examples of random variables that are not measurable

Are probability measures induced by random variables always regular?

A bit of confusion in finding invariant measures

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