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math.PR2026
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…
math.PR2026
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…
math.PR2026
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…