44 citations · 138 across the 32 of their papers we have counts for
4 papers · 1 filter
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…
Random geometric complexes and graphs on Riemannian manifolds in the thermodynamic limit
Antonio Lerario, Raffaella Mulas
We investigate some topological properties of random geometric complexes and random geometric graphs on Riemannian manifolds in the thermodynamic limit. In particular, for random g…
Topologies of random geometric complexes on Riemannian manifolds in the thermodynamic limit
Antonio Auffinger, Antonio Lerario, Erik Lundberg
We investigate the topologies of random geometric complexes built over random points sampled on Riemannian manifolds in the so-called "thermodynamic" regime. We prove the existence…
Gap probabilities and applications to geometry and random topology
Antonio Lerario, Erik Lundberg
We give an exact formula for the value of the derivative at zero of the gap probability in finite n x n Gaussian ensembles. As n goes to infinity our computation provides an asympt…