An evolving population traces out a path in the space of genetic sequences or genotypes.
Depending on the level of resolution, the genotype may be described in terms of nucleotide …

We consider first passage percolation on the Erd\H {o} sR\'{e} nyi graph with $ n $ vertices in
which each pair of distinct vertices is connected independently by an edge with probability …

Biological evolution can be conceptualized as a search process in the space of gene
sequences guided by the fitness landscape, a mapping that assigns a measure of …

A fitness landscape is a mapping from a space of discrete genotypes to the real numbers. A
path in a fitness landscape is a sequence of genotypes connected by single mutational …

Abstract In [2], it was claimed that the time constant μ d (e 1) for the first-passage percolation
model on Z d is μ d (e 1)∼ log d∕(2 ad) as d→∞, if the passage times (τ e) e∈ E d are iid …

Random growth models are fundamental objects in modern probability theory, have given
rise to new mathematics, and have numerous applications, including tumor growth and fluid …

This is the second, and last paper in which we address the behavior of oriented first passage
percolation on the hypercube in the limit of large dimensions. We prove here that the …

We consider the problem of undirected polymers (tied at the endpoints) in random
environment, also known as the unoriented first passage percolation on the hypercube, in …

Ce mémoire est consacré à la présentation d'une grande partie de mes travaux de
recherche depuis mon recrutement comme maître de conférences en 2009. Ces travaux se …