Question

A puzzle in almost sure convergence

score 60 · Answer 1 · 2026-04-09 04:29:44

60

Views

A puzzle in almost sure convergence

Published on 09 Apr 2026 - 4:29

score 553 · Answer 2 · 2026-04-12 21:19:00

553

Views

Integrals of simple functions that are equal almost everywhere.

Published on 12 Apr 2026 - 21:19

score 80 · Answer 3 · 2026-04-08 02:10:24

$f\in L^1(\mu)$, simple measurable functions $s_n(x) \nearrow |f(x)|$ as $n\to \infty$. Can we use Lebesgue's Monotone Convergence Theorem?

score 386 · Answer 4 · 2026-04-07 16:27:37

386

Views

Law of large numbers for Markov Chains

Published on 07 Apr 2026 - 16:27

score 95 · Answer 5 · 2026-04-09 02:55:48

95

Views

Showing that the balls respect to Wasserstein metric with equal radius in $\mathcal{P}_{p}(\Xi)$ and $\mathcal{P}(\Xi)$ respectively are equal.

Published on 09 Apr 2026 - 2:55

score 1.3k · Answer 6 · 2026-04-12 10:23:48

1.3k

Views

Prerequisites for Measure theory

Published on 12 Apr 2026 - 10:23

score 89 · Answer 7 · 2026-03-27 03:33:53

89

Views

Could you help me understand the notation in my professor's lectures

Published on 27 Mar 2026 - 3:33

score 123 · Answer 8 · 2026-04-12 09:13:02

123

Views

Calculating Radon-Nikodym Derivatives

Published on 12 Apr 2026 - 9:13

score 663 · Answer 9 · 2018-02-28 02:55:23

663

Views

Image measure- equivalent integration and integrable

Published on 28 Feb 2018 - 2:55

score 175 · Answer 10 · 2026-04-12 16:23:59

175

Views

How does the 1-Lipschitz and uniform boundedness matter in establishing this as a metric?

Published on 12 Apr 2026 - 16:23

score 134 · Answer 11 · 2026-04-12 20:04:19

134

Views

Do there exist any subsets of $\mathbb{R}$ with positive measure but not of size continuum?

Published on 12 Apr 2026 - 20:04

score 115 · Answer 12 · 2026-04-09 04:27:21

115

Views

When does $\int \limits_{\Bbb R} f \chi_{A} \,d\lambda$ = $\lambda$($A$) hold?

Published on 09 Apr 2026 - 4:27

score 969 · Answer 13 · 2026-04-13 00:29:29

969

Views

Prove Outer Measure of $\mathbb R$

Published on 13 Apr 2026 - 0:29

score 40 · Answer 14 · 2026-03-25 06:08:37

40

Views

Find $m$-measurable sets in $\mathbb R$

Published on 25 Mar 2026 - 6:08

score 44 · Answer 15 · 2026-04-12 21:06:23

44

Views

Does, under iteration, all strongly mixing transformations tend to spread sets out, not only in (ordinary) diameter, but also in harmonic diameter?

Published on 12 Apr 2026 - 21:06

List Question

A puzzle in almost sure convergence

Integrals of simple functions that are equal almost everywhere.

$f\in L^1(\mu)$, simple measurable functions $s_n(x) \nearrow |f(x)|$ as $n\to \infty$. Can we use Lebesgue's Monotone Convergence Theorem?

Law of large numbers for Markov Chains

Showing that the balls respect to Wasserstein metric with equal radius in $\mathcal{P}_{p}(\Xi)$ and $\mathcal{P}(\Xi)$ respectively are equal.

Prerequisites for Measure theory

Could you help me understand the notation in my professor's lectures

Calculating Radon-Nikodym Derivatives

Image measure- equivalent integration and integrable

How does the 1-Lipschitz and uniform boundedness matter in establishing this as a metric?

Do there exist any subsets of $\mathbb{R}$ with positive measure but not of size continuum?

When does $\int \limits_{\Bbb R} f \chi_{A} \,d\lambda$ = $\lambda$($A$) hold?

Prove Outer Measure of $\mathbb R$

Find $m$-measurable sets in $\mathbb R$

Does, under iteration, all strongly mixing transformations tend to spread sets out, not only in (ordinary) diameter, but also in harmonic diameter?

Trending Questions

Popular # Hahtags

Popular Questions