44 citations · 138 across the 32 of their papers we have counts for
44 papers
On smooth functions with two critical values
Antonio Lerario, Chiara Meroni, Daniele Zuddas
We prove that every smooth closed manifold admits a smooth real-valued function with only two critical values. We call a function of this type a \emph{Reeb function}. We prove that…
Geometry and topology of spin random fields
Antonio Lerario, Domenico Marinucci, Maurizia Rossi +1
Spin (spherical) random fields are very important in many physical applications, in particular they play a key role in Cosmology, especially in connection with the analysis of the…
Multicomplexes on Carnot groups and their associated spectral sequence
Antonio Lerario, Francesca Tripaldi
The aim of this paper is to give a thorough insight into the relationship between the Rumin complex on Carnot groups and the spectral sequence obtained from the filtration on forms…
Nonarchimedean integral geometry
Peter Bürgisser, Avinash Kulkarni, Antonio Lerario
Let be a nonarchimedean local field of characteristic zero with valuation ring , for instance, and . We prove a general integral geometric f…
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…
Hausdorff approximations and volume of tubes of singular algebraic sets
Saugata Basu, Antonio Lerario
We prove bounds for the volume of neighborhoods of algebraic sets, in the euclidean space or the sphere, in terms of the degree of the defining polynomials, the number of variables…