Profiles of Fields medalists
The work of Alessio Figalli
——The optimal transportation theory and its applications to partial differential equations, geometry and probability——
Keywords:
optimal transportation,
Monge problem,
Monge–Kantorovich problem,
Riemannian manifold,
sub-Riemannian manifold,
Monge–Ampère equation,
anisotropic isoperimetric inequality,
Wulff shape,
isoperimetric deficit,
asymmetry index,
random matrix,
universality,
Gaussian orthogonal ensemble GOE,
Gaussian unitary ensemble GUE,
Gaussian sympletic ensemble GSE,
$\beta$-matrix model
2020 Volume 72 Issue 1 Pages 43-50
Details
Article 1st page
