Emmanuel Jacob's Web Page
Research interests
Probability theory, Stochastic proceses, Random graphs
- Scale-free networks, Preferential attachment, Geometric inhomogeneous random graphs, Percolation
- Interactive particle systems, Contact process
- Dynamical random graphs, Benjamini-Schramm local weak limit
- Random maps, random geometry, Brownian map
Preprints
A universal right tail upper bound for supercritical Galton-Watson processes with bounded offspring,
with John Fernley
preprint arXiv:2307.07241, 2023;
arXiv link
Local weak limit of dynamical inhomogeneous random graphs,
with Léo Dort
preprint arXiv:2303.17437, 2023;
arXiv link
The contact process on dynamical scale-free networks,
with Amitai Linker and Peter Mörters
preprint arXiv:2206.01073, 2022;
arXiv link
Publications
Metastability of the contact process on fast evolving scale-free networks,
with Amitai Linker and Peter Mörters
Annals of Applied Probability, Volume 29, Number 5, pages 2654 - 2699, 2019;
journal link,
arXiv link
The contact process on scale-free networks evolving by vertex updating,
with Peter Mörters
Royal Society Open Science, Volume 4, 2017;
journal link,
arXiv link
Robustness of scale-free spatial networks,
with Peter Mörters
The Annals of Probability, Volume 45, Pages 1680-1722, 2017;
journal link,
arXiv link
Robustness of spatial preferential attachment networks,
with Peter Mörters
Algorithms and Models for the Web graph, proceedings WAW2015, pages 3-14, 2015;
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
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
Langevin process reflected on a partially elastic boundary II,
Séminaire de Probabilités, Volume XLV, pages 245-275, 2013;
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
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
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
