6 papers
Asymptotics of a planar isoperimetric problem with a white-noise volume term
Xiaopeng Cheng, Felix Otto, Matteo Palmieri
In this work we study the maximal ratio between the white noise integrated over a set and the perimeter of the set, which can be seen as a random isoperimetric problem, and app…
A geometrically linear approximation of min-max optimal matching
Xiaopeng Cheng, Felix Otto, Matteo Palmieri +1
In this work we establish a connection between the min-max optimal matching in the critical dimension and a simpler, geometrically linear, action of random curves in a Browni…
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…
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 connecti…
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 hol…
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…