27 citations · 110 across the 23 of their papers we have counts for
4 papers · 2 filters
Mean-Field interacton of Brownian occupation measures. II: A rigorous construction of the Pekar process
Erwin Bolthausen, Wolfgang Koenig, Chiranjib Mukherjee
We consider mean-field interactions corresponding to Gibbs measures on interacting Brownian paths in three dimensions. The interaction is self-attractive and is given by a singular…
Gibbs measures on mutually interacting Brownian paths under singularities
Chiranjib Mukherjee
We are interested in the analysis of Gibbs measures defined on two independent Brownian paths in interacting through a mutual self-attraction. This is expressed by th…
Mean-field interaction of Brownian occupation measures, I: uniform tube property of the Coulomb functional
Wolfgang Koenig, Chiranjib Mukherjee
We study the transformed path measure arising from the self-interaction of a three-dimensional Brownian motion via an exponential tilt with the Coulomb energy of the occupation mea…
Quenched Large Deviations for Simple Random Walks on Supercritical Percolation Clusters
Noam Berger, Chiranjib Mukherjee
We prove a {\it{quenched}} large deviation principle (LDP) for a simple random walk on a supercritical percolation cluster on , .. We take the point of view of the m…