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Christophe Leuridan's user avatar
Christophe Leuridan's user avatar
Christophe Leuridan
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revised
Converse of mean value theorem
I answer the right question
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On a density property of signed singular measures
`signed finite Borel probability measure' is contradictory. You mean signed measure?
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Symbolic polyhedron of a monomial ideal
What is a symbolic polyhedron?
answered
Find the distribution of maximum of $B_t-t$
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Sum of arrival times of Chinese Restaurant Process (CRP)
You should give a more explicit description of the process. When $n \ge i$, given $X_1,\ldots,X_n$, what is the probability that $X_{n+1} = X_i$?
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Converse of mean value theorem
Ah, yes. I will think more about it.
answered
Existence of the limit of periodic measures
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Existence of the limit of periodic measures
For such a linear form, the desired conclusion holds, because $\mu_n$ equals $n^{-1}\lfloor np \rfloor \mu_p$ plus some measure with total mass at most $(p-1)/n$.
answered
Converse of mean value theorem
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Existence of the limit of periodic measures
Do we have a description of all linear maps on $M(X,T)$? Are there other maps that $\mu \mapsto \int_X \varphi d\mu$, where $\varphi$ is a bounded Borel function on $X$?
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Regularity of Feynman-Kac formula for a simple diffusion
Do you mean $dX_t = \alpha(X_t)dW_t$ where $W$ is a standard Brownian motion?
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The expected value of product of random variables which have the same distribution but are not independent
@Greg Martin I completed the answer to explain why.
revised
The expected value of product of random variables which have the same distribution but are not independent
added 210 characters in body
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The expected value of product of random variables which have the same distribution but are not independent
@Stef When $k=2$, it follows from rearrangement inequalities. View en.wikipedia.org/wiki/Rearrangement_inequality for a discrete analogue.
revised
The expected value of product of random variables which have the same distribution but are not independent
added 30 characters in body
answered
The expected value of product of random variables which have the same distribution but are not independent
revised
Is equal natural density on intervals with matching areas but opposite signs sufficient to use fixed-width part sizes for a simple Riemann sum?
I completed the proof
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Is equal natural density on intervals with matching areas but opposite signs sufficient to use fixed-width part sizes for a simple Riemann sum?
Yes. However, I forget an argument and I have just completed the proof.
revised
Is equal natural density on intervals with matching areas but opposite signs sufficient to use fixed-width part sizes for a simple Riemann sum?
I completed the proof
comment
Is equal natural density on intervals with matching areas but opposite signs sufficient to use fixed-width part sizes for a simple Riemann sum?
$\delta_a$ is the Dirac mass at $a$. For every Borel set $B$, $\delta_a(B)$ equals $1$ if $a \in B$, $0$ otherwise. For every continuous function $f$, \int f d \delta_a = f(a)$.
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