53 citations · 79 across the 4 of their papers we have counts for
3 papers · 1 filter
The quenched critical point of a diluted disordered polymer model
Erwin Bolthausen, Francesco Caravenna, Béatrice de Tilière
We consider a model for a polymer interacting with an attractive wall through a random sequence of charges. We focus on the so-called diluted limit, when the charges are very rare…
Tightness conditions for polymer measures
Francesco Caravenna, Giambattista Giacomin, Lorenzo Zambotti
We give sufficient conditions for tightness in the space C([0,1]) for sequences of probability measures which enjoy a suitable decoupling between zero level set and excursions. App…
A Local Limit Theorem for random walks conditioned to stay positive
Francesco Caravenna
We consider a real random walk S_n = X_1 + ... + X_n attracted (without centering) to the normal law: this means that for a suitable norming sequence a_n we have the weak convergen…