3 papers
math-ph2026
Large scale regularity and correlation length for almost length-minimizing random curves in the plane
Tobias Ried, Christian Wagner
We consider a model of random curves in the plane related to the large-scale behavior of the Random Field Ising Model (RFIM) at temperature zero in two space dimensions. Our work i…
math.AP2026
Partial regularity of optimal transport with Coulomb cost
Gero Friesecke, Tobias Ried
We prove that for two-marginal optimal transport with Coulomb cost on , the optimal map is a diffeomorphism outside a closed set of Lebesgue measure zero p…
math-ph2024
On a variational problem related to the Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities
Thiago Carvalho Corso, Tobias Ried
We explicitly solve a variational problem related to upper bounds on the optimal constants in the Cwikel--Lieb--Rozenblum (CLR) and Lieb--Thirring (LT) inequalities, which has rece…