21 citations · 48 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
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…
Cwikel's bound reloaded
Dirk Hundertmark, Peer Kunstmann, Tobias Ried +1
There are a couple of proofs by now for the famous Cwikel--Lieb--Rozenblum (CLR) bound, which is a semiclassical bound on the number of bound states for a Schrödinger operator, pro…
Entropy decay for the Kac evolution
Federico Bonetto, Alissa Geisinger, Michael Loss +1
We consider solutions to the Kac master equation for initial conditions where particles are in a thermal equilibrium and particles are out of equilibrium. We show that…