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math.PR2024
Real Gaussian exponential sums via a real moment map
Léo Mathis
We study the expected number of solutions of a system of identically distributed exponential sums with centered Gaussian coefficient and arbitrary variance. We use the Adler and Ta…
math.PR2022★ 1 cited
Expectation of a random submanifold: the zonoid section
Léo Mathis, Michele Stecconi
We develop a calculus based on zonoids - a special class of convex bodies - for the expectation of functionals related to a random submanifold defined as the zero set of a smoo…
math.PR2022
Gaussian Zonoids, Gaussian determinants and Gaussian random fields
Léo Mathis
We study the Vitale zonoid (a convex body associated to a probability distribution) associated to a non--centered Gaussian vector. This defines a family of convex bodies, that cont…