25 citations · 112 across the 21 of their papers we have counts for
25 papers
Self-repellent Brownian Bridges in an Interacting Bose Gas
Erwin Bolthausen, Wolfgang Koenig, Chiranjib Mukherjee
We consider a model of -dimensional interacting quantum Bose gas, expressed in terms of an ensemble of interacting Brownian bridges in a large box and undergoing the influence o…
Gardner formula for Ising perceptron models at small densities
Erwin Bolthausen, Shuta Nakajima, Nike Sun +1
We consider the Ising perceptron model with N spins and M = N*alpha patterns, with a general activation function U that is bounded above. For U bounded away from zero, or U a one-s…
A Morita type proof of the replica-symmetric formula for SK
Erwin Bolthausen
We give a proof of the replica symmetric formula for the free energy of the Sherrington-Kirkpatrick model in high temperature which is based on the TAP formula. This is achieved by…
Exponential decay of covariances for the supercritical membrane model
Erwin Bolthausen, Alessandra Cipriani, Noemi Kurt
We consider the membrane model, that is the centered Gaussian field on whose covariance matrix is given by the inverse of the discrete Bilaplacian. We impose a pi…
Torsional rigidity for regions with a Brownian boundary
Michiel van den Berg, Erwin Bolthausen, Frank den Hollander
Let be the -dimensional unit torus, . The torsional rigidity of an open set is the integral with respect to Lebesgue measure over all starting poin…
Fast decay of covariances under pinning in the critical and supercritical membrane model
Erwin Bolthausen, Alessandra Cipriani, Noemi Kurt
We consider the membrane model, that is the centered Gaussian field on whose covariance matrix is given by the inverse of the discrete Bilaplacian. We impose a pi…