Question

Gaussian concentration of measure, equivalent definitions

score 102 · Answer 1 · 2026-05-10 16:33:34

102

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Gaussian concentration of measure, equivalent definitions

Published on 10 May 2026 - 16:33

score 20 · Answer 2 · 2026-04-16 07:54:19

20

Views

Why do $m^(A-x_0\cap E)=m^(A\cap E+x_0)$?

Published on 16 Apr 2026 - 7:54

score 129 · Answer 3 · 2026-05-16 20:56:12

129

Views

Proof that makes use of the differentiability of a function and of its convex conjugate

Published on 16 May 2026 - 20:56

score 303 · Answer 4 · 2026-04-13 11:37:57

303

Views

Probability measure domain

Published on 13 Apr 2026 - 11:37

score 32 · Answer 5 · 2026-04-17 18:06:07

32

Views

Tail bound of sum less than sum of tail bounds

Published on 17 Apr 2026 - 18:06

score 65 · Answer 6 · 2026-05-16 21:19:03

Suppose that $E \subset \mathbb{R}$. If $E \cap F$ is Lebesgue measurable for all measurable $F$ such that $m(F)$ is finite, then $E$ is measurable.

score 142 · Answer 7 · 2026-05-10 13:49:29

142

Views

Prove that $m$ is a positive measure.

Published on 10 May 2026 - 13:49

score 90 · Answer 8 · 2026-05-13 11:26:38

90

Views

Upper bound for some measurable sets given the inequality $\sum_{n=1}^{\infty} \mu (A_{n}) \leq \mu (\bigcup_{n=1}^{\infty} A_{n}) + \epsilon$

Published on 13 May 2026 - 11:26

score 210 · Answer 9 · 2026-04-12 15:07:56

210

Views

When strong and weak measurability coincide?

Published on 12 Apr 2026 - 15:07

score 65 · Answer 10 · 2026-04-12 16:58:56

65

Views

Is my attempt at proving this corollary of the LDCT correct?

Published on 12 Apr 2026 - 16:58

score 104 · Answer 11 · 2026-04-18 02:59:20

104

Views

$L^2$ and $C^0$ norms combined

Published on 18 Apr 2026 - 2:59

score 175 · Answer 12 · 2026-04-09 09:35:41

175

Views

What are sufficient conditions for the boundedness of a Radon-Nikodym derivative of a pull back measure?

Published on 09 Apr 2026 - 9:35

score 41 · Answer 13 · 2026-04-15 16:03:54

41

Views

For a finite measure $\mu$ and complex $f$, $f$ takes on an average value $\frac{1}{\mu(E)}\int_Efd\mu$ almost surely.

Published on 15 Apr 2026 - 16:03

score 198 · Answer 14 · 2026-05-16 21:17:08

198

Views

For all $E$ and $\epsilon>0$ there is $m^(O)<m^(e)+\epsilon$

Published on 16 May 2026 - 21:17

score 73 · Answer 15 · 2026-05-16 21:19:05

73

Views

$f$ is the pointwise limit of measurable functions $f_n$. Show $\lambda(f^{-1}(a,\infty]) \leq \liminf_{n\to \infty }\lambda(f_n^{-1}[a, \infty])$

Published on 16 May 2026 - 21:19

List Question

Gaussian concentration of measure, equivalent definitions

Why do $m^(A-x_0\cap E)=m^(A\cap E+x_0)$?

Proof that makes use of the differentiability of a function and of its convex conjugate

Probability measure domain

Tail bound of sum less than sum of tail bounds

Suppose that $E \subset \mathbb{R}$. If $E \cap F$ is Lebesgue measurable for all measurable $F$ such that $m(F)$ is finite, then $E$ is measurable.

Prove that $m$ is a positive measure.

Upper bound for some measurable sets given the inequality $\sum_{n=1}^{\infty} \mu (A_{n}) \leq \mu (\bigcup_{n=1}^{\infty} A_{n}) + \epsilon$

When strong and weak measurability coincide?

Is my attempt at proving this corollary of the LDCT correct?

$L^2$ and $C^0$ norms combined

What are sufficient conditions for the boundedness of a Radon-Nikodym derivative of a pull back measure?

For a finite measure $\mu$ and complex $f$, $f$ takes on an average value $\frac{1}{\mu(E)}\int_Efd\mu$ almost surely.

For all $E$ and $\epsilon>0$ there is $m^(O)<m^(e)+\epsilon$

$f$ is the pointwise limit of measurable functions $f_n$. Show $\lambda(f^{-1}(a,\infty]) \leq \liminf_{n\to \infty }\lambda(f_n^{-1}[a, \infty])$

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