44 citations · 138 across the 32 of their papers we have counts for
4 papers · 1 filter
Experiments on the zeros of harmonic polynomials using certified counting
Jonathan D. Hauenstein, Antonio Lerario, Erik Lundberg +1
Motivated by Wilmshurst's conjecture, we investigate the zeros of harmonic polynomials. We utilize a certified counting approach which is a combination of two methods from numerica…
How many geodesics join two points on a contact sub-Riemannian manifold?
Antonio Lerario, Luca Rizzi
We investigate the number of geodesics between two points and on a contact sub-Riemannian manifold M. We show that the count of geodesics on is controlled by the count…
On the number of connected components of random algebraic hypersurfaces
Yan Fyodorov, Antonio Lerario, Erik Lundberg
We study the expectation of the number of components of a random algebraic hypersurface defined by the zero set in projective space of a random homogen…
Intrinsic volumes of set of singular matrices
Antonio Lerario
We explicitly compute the intrinsic volume of the set of real (and real symmetric) matrices of Frobenius norm one and given corank (the case of matrices with zero determinant as a…