10 citations · 23 across the 11 of their papers we have counts for
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Conditions for the finiteness of the moments of the volume of level sets
Diego Armentano, Jean-Marc Azais, David Ginsbourger +1
Let X(t) be a Gaussian random field R d R. Using the notion of (d -- 1)-integral geometric measures, we establish a relation between (a) the volume of the level set (…
Central Limit Theorem for the volume of the zero set of Kostlan-Shub-Smale random polynomial systems
Jean-Marc Azaïs, Diego Armentano, Federico Dalmao +1
We state the Central Limit Theorem, as the degree goes to infinity, for the normalized volume of the zero set of a rectangular Kostlan-Shub-Smale random polynomial system. This pap…
Central Limit Theorem for the number of real roots of Kostlan Shub Smale random polynomial systems
Diego Armentano, Jean-Marc Azaïs, Federico Dalmao +1
We obtain a Central Limit Theorem for the normalized number of real roots of a square Kostlan-Shub-Smale random polynomial system of any size as the degree goes to infinity. A stud…