8 citations · 16 across the 6 of their papers we have counts for
8 papers
Probabilistic intersection theory in Riemannian homogeneous spaces
Paul Breiding, Peter Bürgisser, Antonio Lerario +1
Let be a Riemannian homogeneous space, where is a compact Lie group with closed subgroup . Classical intersection theory states that the de Rham cohomology ring of $…
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…
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…
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…
The zonoid algebra, generalized mixed volumes, and random determinants
Paul Breiding, Peter Bürgisser, Antonio Lerario +1
We show that every multilinear map between Euclidean spaces induces a unique, continuous, Minkowski multilinear map of the corresponding real cones of zonoids. Applied to the wedge…
Fiber Convex Bodies
Léo Mathis, Chiara Meroni
In this paper we study the fiber body, that is the extension of the notion of fiber polytopes for more general convex bodies. After giving an overview of the properties of the fibe…
On tameness of zonoids
Antonio Lerario, Léo Mathis
We prove that in a globally subanalytic family of convex bodies the set of zonoids is log-analytic, and in particular it is definable in the o-minimal structure generated by global…
Probabilistic Schubert Calculus: asymptotics
Antonio Lerario, Léo Mathis
In the recent paper [arXiv:1612.06893] P. Bürgisser and A. Lerario introduced a geometric framework for a probabilistic study of real Schubert Problems. They denoted by t…