Laboratoire d'Informatique Gaspard-Monge

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most citedSome extensions of the uncertainty principle

81 citations

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math.PR2009★ 1 cited

On the density of the sum of two independent Student t-random vectors

C. Berg, C. Vignat

In this paper, we find an expression for the density of the sum of two independent $d -$ dimensional Student $t -$ random vectors $X$ and $Y$ with arbitrary degrees o…

math.PR2007★ 81 cited

Some extensions of the uncertainty principle

Steeve Zozor, Mariela Portesi, Christophe Vignat

We study the formulation of the uncertainty principle in quantum mechanics in terms of entropic inequalities, extending results recently derived by Bialynicki-Birula [1] and Zozor…

math.PR2007

A CLT for Information-theoretic statistics of Gram random matrices with a given variance profile

Walid Hachem, Philippe Loubaton, Jamal Najim

Consider a $N \times n$ random matrix $Y_{n} = (Y_{ij}^{n})$ where the entries are given by $Y_{ij}^{n} = \frac{σ _{ij} ( n )}{n} X_{ij}^{n}$ the $X_{ij}^{n}$ being centered, indep…