4 citations · 4 across the 4 of their papers we have counts for
4 papers · 1 filter
A model of continuous time polymer on the lattice
David Marquez-Carreras, Carles Rovira, Samy Tindel
In this article, we try to give a rather complete picture of the behavior of the free energy for a model of directed polymer in a random environment, in which the polymer is a simp…
Iterated logarithm law for anticipating stochastic differential equations
D. Marquez-Carreras, C. Rovira
We prove a functional law of iterated logarithm for the following kind of anticipating stochastic differential equations $$ξ^u_t=X_0^u+\frac{1}{\sqrt{\log\log u}}\sum_{j=1}^k \int_…
The p-spin interaction model with external field
X. Bardina, D. Marquez, C. Rovira +1
This paper is devoted to a detailed study of a p-spins interaction model with external field, including some sharp bounds on the speed of self averaging of the overlap as well as a…
Higher order expansions for the overlap of the SK model
X. Bardina, D. Marquez-Carreras, C. Rovira +1
In this note, the Sherrington Kirkpatrick model of interacting spins is under consideration. In the high temperature region, we give an asymptotic expansion for the expected value…