arXiv subjects

David Marquez-Carreras

Publications and source records attributed to David Marquez-Carreras.

2 recordsLinked to original sources

arXiv2008

A model of continuous time polymer on the lattice

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 simple symmetric random walk on the lattice $\Z^d$, and the environment is a collection $\{W(t,x);t\ge 0, x\in \Z^d\}$ of i.i.d. Brownian motions.

math.PR↗

arXiv2006

A diluted version of the perceptron model

This note is concerned with a diluted version of the perceptron model. We establish a replica symmetric formula at high temperature, which is achieved by studying the asymptotic behavior of a given spin magnetization. Our main task will be to identify the order parameter of the system.

math.PR↗