I am an assistant professor (maîtresse de conférences) in probability at Université Paris-Dauphine. My research focuses on random trees, random graphs and random walks.
Postdoc opportunity in statistical physics and mathematics in Dauphine.
Email: archer@ceremade.dauphine.fr
Bureau: F439
Address: Université Paris Dauphine-PSL, Place du Maréchal de Lattre de Tassigny, 75016 PARIS
Quenched GHP scaling limit of critical percolation clusters on Galton-Watson trees, with Tanguy Lions, preprint, 2025.
Stable quadrangulations and stable spheres, with Ariane Carrance and Laurent Ménard, preprint, 2024.
Catalan percolation, with Ivailo Hartarsky, Brett Kolesnik, Sam Olesker-Taylor, Bruno Schapira and Daniel Valesin, Probability Theory and Related Fields, 2025.
Some properties of stable snakes, with Ariane Carrance and Laurent Ménard, preprint, 2024.
Random choice spanning trees, with Matan Shalev, preprint, 2024.
Quenched critical percolation on Galton-Watson trees, with Quirin Vogel, Electronic Journal of Probability, 2024. Note, typo in statement of Theorem 1.3: Y_n should be rescaled.
Scaling limit of critical percolation clusters on hyperbolic random half-planar maps and the associated random walks, with David Croydon, Random Structures and Algorithms, to appear.
The union of independent USFs on ℤ^d is transient, with Asaf Nachmias, Matan Shalev and Pengfei Tang, Electronic Communications in Probability, 2024.
The GHP scaling limit of uniform spanning trees of dense graphs, with Matan Shalev, Random Structures and Algorithms, 2024.
Parabolic Anderson model on critical Galton-Watson trees in a Pareto environment, with Anne Pein, Stochastic Processes and their Applications, 2023.
Scaling limit of linearly edge-reinforced random walks on critical Galton-Watson trees, with George Andriopoulos, Electronic Journal of Probability, 2023.
The GHP scaling limit of uniform spanning trees in high dimensions, with Asaf Nachmias and Matan Shalev, Communications in Mathematical Physics, 2024.
Random walks on decorated Galton-Watson trees, Annales de l'Institut Henri Poincaré (B), Probabilités et Statistiques, 2024.
Brownian motion on stable looptrees, Annales de l'Institut Henri Poincaré (B), Probabilités et Statistiques, 2021.
Infinite stable looptrees, Electronic Journal of Probability, 2020.
My papers are all also available as preprints on the arXiv.
Notes on random walks and electrical networks (Nesin summer school; in lectures we covered up to the end of Section 4.4.1).
An article on Mathematical Patterns in Plants.