255 citations
- Centre National de la Recherche ScientifiqueFR12 papers
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- Otto-von-Guericke-Universität MagdeburgDE2 papers
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6 papers · 1 filter
Polymer pinning in a random medium as influence percolation
Vincent Beffara, Vladas Sidoravicius, Herbert Spohn +1
In this article we discuss a set of geometric ideas which shed some light on the question of directed polymer pinning in the presence of bulk disorder. Differing from standard meth…
Smoothing effect of quenched disorder on polymer depinning transitions
G. Giacomin, F. L. Toninelli
We consider general disordered models of pinning of directed polymers on a defect line. This class contains in particular the --dimensional interface wetting model, the diso…
Estimates on path delocalization for copolymers at selective interfaces
Giambattista Giacomin, Fabio Lucio Toninelli
We consider a directed random walk model of a random heterogeneous polymer in the proximity of an interface separating two selective solvents. This model exhibits a localization/de…
Cugliandolo-Kurchan equations for dynamics of Spin-Glasses
Gerard Ben Arous, Amir Dembo, Alice Guionnet
We study the Langevin dynamics for the family of spherical -spin disordered mean-field models and prove that in the limit of system size approaching infinity, the empirical…
Large deviations and stochastic calculus for large random matrices
Alice Guionnet
Large random matrices appear in different fields of mathematics and physics such as combinatorics, probability theory, statistics, operator theory, number theory, quantum field the…
Character expansion method for the first order asymptotics of a matrix integral
Alice Guionnet, Mylene Maida
The estimation of various matrix integrals as the size of the matrices goes to infinity is motivated by theoretical physics, geometry and free probability questions. On a rigorous…