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math-ph2024
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-ph2024★ 1 cited
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…