Emmanuel Jacob's Web Page

Research interests


Probability theory, Random graphs, Random maps, Scale-free networks, stochastic processes, random walks, statistical mechanics, superprocesses.



Publications


Excursions of the integral of the Brownian motion,
Annales de l’Institut Henri Poincaré, Volume 46, Number 3, pages 869-887, 2010;
journal link, arXiv link



Langevin process reflected on a partially elastic boundary I,
Stochastic Processes and Applications, Volume 122, Number 1, pages 191-216, 2012;
journal link, arXiv link



Langevin process reflected on a partially elastic boundary II,
Séminaire de Probabilités, Volume XLV, pages 245-275, 2013;
journal link, arXiv link



A spatial preferential attachment model with local clustering,
with Peter Mörters
Algorithms and Models for the Web graph, proceedings WAW2013, pages 14-25, 2013;
journal link



Spatial preferential attachment networks : Power laws and clustering coefficients,
with Peter Mörters
Annals of Applied Probability, Volume 25, Number 2, pages 632-662, 2015;
journal link, arXiv link



The scaling limit of uniform random plane maps, via the Ambjørn–Budd bijection,
with Jérémie Bettinelli and Grégory Miermont,
Electronic Journal of Probability, Volume 19, Article 74, pages 1-16, 2014;
journal link, arXiv link

Preprints


Robustness of scale-free spatial networks,
with Peter Mörters
2015,
arXiv link



Phd-Thesis

Processus de Langevin réfléchis au second ordre
Second order reflected Langevin processes
TEL link      Summary      Résumé

Thesis carried out under the supervision of Jean Bertoin and defended on December 2010



Miscellaneous

Master thesis (under the supervision of Edwin Perkins):
Propriétés de connexité du support du superbrownien: Une nouvelle approche par des outils élémentaires