3 papers
math-ph2026
On distances among Slater Determinant States and Determinantal Point Processes
Chiara Boccato, Francesca Pieroni, Dario Trevisan
Determinantal processes provide mathematical modeling of repulsion among points. In quantum mechanics, Slater determinant states generate such processes, reflecting Fermionic behav…
math-ph2026
Convergence to the equilibrium for the kinetic transport equation in the two-dimensional periodic Lorentz Gas
Francesca Pieroni
We consider the kinetic transport equation that arise in the Boltzmann-Grad limit of the two-dimensional periodic Lorentz Gas. This equation has been obtained by extending the phas…
math.PR2024
Subadditivity and optimal matching of unbounded samples
Emanuele Caglioti, Michael Goldman, Francesca Pieroni +1
We obtain new bounds for the optimal matching cost for empirical measures with unbounded support. For a large class of radially symmetric and rapidly decaying probability laws, we…