4 papers
Quantitative homogenization of the maximal action of curves in a Brownian potential
Felix Otto, Matteo Palmieri
Motivated by an optimal-matching problem (Leighton-Shor) and the random-field Ising model (Aizenman-Wehr, Ding-Wirth), we consider a variational problem for graphs in dimensi…
The early stage of the motion along the gradient of a concentrated vortex structure
Franco Flandoli, Matteo Palmieri, Milo Viviani
We give a rigorous mathematical result, supported by numerical simulations, of the aggregation of a concentrated vortex blob with an underlying non-constant vorticity field: the bl…
On the Bergman metric of symmetric spaces
Andrea Loi, Matteo Palmieri
We study bounded domains whose Bergman metric is locally symmetric, i.e. its Riemannian curvature tensor is parallel with respect to the Levi-Civita connect…
Bergman metrics induced by the ball
Matteo Palmieri
We investigate when the Bergman metric of a bounded domain is, up to a constant factor , induced by the Bergman metric of a finite-dimensional unit ball via a ho…