User Velobos

18 votes

0 answers

365 views

Find $f$ such that $f \star f(x) = \frac{1}{1-x}$.

asked Apr 8, 2021 at 9:32

8 votes

1 answer

213 views

How to show ergodicity on this probability measure.

probability-theory stochastic-processes ergodic-theory random-matrices stationary-processes

asked Oct 9, 2020 at 16:12

5 votes

1 answer

134 views

Find a regular function $\varphi$ which verifies the following conditions

derivatives partial-differential-equations calculus-of-variations

asked Jul 20, 2020 at 8:39

5 votes

1 answer

179 views

A Sobolev space on a perforated domain with extension by a solid vector field

functional-analysis partial-differential-equations sobolev-spaces distribution-theory weak-derivatives

asked Aug 6, 2020 at 19:13

5 votes

0 answers

79 views

Find a function $f$ such that $f \star f = g$ for a given $g$.

fourier-analysis lp-spaces convolution

asked Feb 25, 2021 at 14:32

5 votes

2 answers

211 views

Spanning tree created with cycles breaking different form the Maximal Spanning Tree.

discrete-mathematics graph-theory trees discrete-optimization

asked Feb 8, 2021 at 13:26

5 votes

0 answers

174 views

Explicit classical solution to this Stokes problem.

partial-differential-equations physics fluid-dynamics

asked Jul 9, 2021 at 9:09

4 votes

0 answers

54 views

Integrals of the form $\int_{\partial B(b,a)} \frac{x_1^\alpha x_2^\beta x_3^\gamma}{|x|^k} \, \mathrm{d}x$.

calculus integration spherical-coordinates

asked Aug 3, 2021 at 15:13

4 votes

0 answers

85 views

Are they known properties for the self-convolution application $H : f \mapsto f \star f$?

functional-analysis reference-request lp-spaces convolution

asked Feb 5, 2021 at 15:39

4 votes

1 answer

69 views

Weak convergence in $L^2(\mathbb{R}^3,L_{loc}^2(\mathbb{R}^3))$ thanks to diagonal extraction.

functional-analysis reference-request lp-spaces

asked Jun 1, 2021 at 13:40

4 votes

1 answer

58 views

Inverse this Stokes Matrix.

linear-algebra matrices partial-differential-equations fourier-analysis

asked Jan 10 at 14:43

4 votes

0 answers

42 views

What does this Fourier multiplicator operator do?

fourier-analysis

asked Jan 14 at 15:37

4 votes

0 answers

60 views

Laplacian in a perforated domain with non-homogenous boundary conditions. Link with the existence of a suited extension function.

partial-differential-equations definition sobolev-spaces laplacian

asked Feb 18, 2021 at 15:38

4 votes

1 answer

39 views

The weak limiting point of a stationary random field is stationary.

ergodic-theory stationary-processes random-functions

asked Apr 12, 2021 at 9:59

4 votes

0 answers

126 views

A vectorial version of the div/curl lemma with divergence free potential.

functional-analysis partial-differential-equations divergence-operator

asked Dec 9, 2020 at 12:29

3 votes

2 answers

363 views

Different norms for the $H^{1/2}$ sobolev spaces

partial-differential-equations normed-spaces sobolev-spaces fractional-sobolev-spaces trace-map

asked Jul 21, 2020 at 8:23

3 votes

1 answer

105 views

Continuous version of Kingman's subadditive ergodic theorem.

probability-theory measure-theory dynamical-systems ergodic-theory

asked Feb 10, 2021 at 10:47

3 votes

2 answers

116 views

Identify this graph problem.

discrete-mathematics graph-theory reference-request terminology operations-research

asked Jan 29, 2021 at 16:22

3 votes

1 answer

42 views

Find a density function $g$ that verify the following integrale convergence and divergence.

probability integration lp-spaces density-function

asked Feb 4, 2021 at 15:18

3 votes

0 answers

83 views

Fourier series of $x \mapsto \frac{1}{x\ln(x)^2}$ on $[0,a]$

calculus definite-integrals fourier-analysis

asked Feb 5, 2021 at 13:19

3 votes

0 answers

64 views

Writing Euler's equation for this minimization problem.

linear-algebra matrices optimization projection euler-lagrange-equation

asked Apr 21, 2021 at 8:44

2 votes

0 answers

25 views

Weak convergence of measures on the unit sphere $S^2$.

measure-theory distribution-theory weak-convergence spheres

asked May 10, 2021 at 12:19

2 votes

1 answer

53 views

Show that the following quantity is super-additive over set.

partial-differential-equations calculus-of-variations

asked Apr 19, 2021 at 8:57

2 votes

0 answers

60 views

Energy inequality on this $3 \times 3$ linear system

matrices inequality solution-verification positive-semidefinite

asked Apr 19, 2021 at 13:59

2 votes

0 answers

58 views

Embedding from homogeneous Besov spaces to homogeneous Sobolev spaces.

functional-analysis partial-differential-equations reference-request sobolev-spaces besov-space

asked Jan 3 at 10:18

2 votes

0 answers

55 views

Minimization of a classic functional over $H^1(\Omega)$

functional-analysis partial-differential-equations reference-request calculus-of-variations

asked May 10 at 12:09

2 votes

1 answer

54 views

Speed of convergence for the secant method

real-analysis sequences-and-series newton-raphson secant

asked Sep 30, 2020 at 9:06

2 votes

0 answers

72 views

Link between $L^1$ convergence and equi-integrable

functional-analysis measure-theory compactness

asked Dec 7, 2020 at 16:25

2 votes

0 answers

32 views

Compute the following expectation with non-independant random variables.

probability probability-theory expected-value independence

asked Feb 10, 2021 at 16:55

2 votes

0 answers

46 views

Compute these expectations for non-independent random variables.

probability probability-distributions expected-value independence

asked Mar 4, 2021 at 15:26

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59 Questions

Find $f$ such that $f \star f(x) = \frac{1}{1-x}$.

How to show ergodicity on this probability measure.

Find a regular function $\varphi$ which verifies the following conditions

A Sobolev space on a perforated domain with extension by a solid vector field

Find a function $f$ such that $f \star f = g$ for a given $g$.

Spanning tree created with cycles breaking different form the Maximal Spanning Tree.

Explicit classical solution to this Stokes problem.

Integrals of the form $\int_{\partial B(b,a)} \frac{x_1^\alpha x_2^\beta x_3^\gamma}{|x|^k} \, \mathrm{d}x$.

Are they known properties for the self-convolution application $H : f \mapsto f \star f$?

Weak convergence in $L^2(\mathbb{R}^3,L_{loc}^2(\mathbb{R}^3))$ thanks to diagonal extraction.

Inverse this Stokes Matrix.

What does this Fourier multiplicator operator do?

Laplacian in a perforated domain with non-homogenous boundary conditions. Link with the existence of a suited extension function.

The weak limiting point of a stationary random field is stationary.

A vectorial version of the div/curl lemma with divergence free potential.

Different norms for the $H^{1/2}$ sobolev spaces

Continuous version of Kingman's subadditive ergodic theorem.

Identify this graph problem.

Find a density function $g$ that verify the following integrale convergence and divergence.

Fourier series of $x \mapsto \frac{1}{x\ln(x)^2}$ on $[0,a]$

Writing Euler's equation for this minimization problem.

Weak convergence of measures on the unit sphere $S^2$.

Show that the following quantity is super-additive over set.

Energy inequality on this $3 \times 3$ linear system

Embedding from homogeneous Besov spaces to homogeneous Sobolev spaces.

Minimization of a classic functional over $H^1(\Omega)$

Speed of convergence for the secant method

Link between $L^1$ convergence and equi-integrable

Compute the following expectation with non-independant random variables.

Compute these expectations for non-independent random variables.