678 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- École Normale Supérieure - PSLFR647 papers
- Centre National de la Recherche ScientifiqueFR243 papers
- Université Paris Sciences et LettresFR162 papers
- Centre de Recherche en Mathématiques de la DécisionFR56 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR55 papers
- Laboratoire de Mathématiques d'OrsayFR53 papers
- Sorbonne UniversitéFR49 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR45 papers
- Université Paris CitéFR42 papers
- Université Paris Dauphine-PSLFR34 papers
- Université Pierre-et-Marie-CurieFR33 papers
- Laboratoire Jacques-Louis LionsFR31 papers
9 papers · 2 filters
The glassy phase of complex branching Brownian motion
Thomas Madaule, Rémi Rhodes, Vincent Vargas
In this paper, we study complex valued branching Brownian motion in the so-called glassy phase, or also called phase II. In this context, we prove a limit theorem for the complex p…
Liouville Brownian motion at criticality
Rémi Rhodes, Vincent Vargas
In this paper, we construct the Brownian motion of Liouville Quantum Gravity with central charge (more precisely we restrict to the corresponding free field theory). Liouvill…
Glassy phase and freezing of log-correlated Gaussian potentials
Thomas Madaule, Rémi Rhodes, Vincent Vargas
In this paper, we consider the Gibbs measure associated to a logarithmically correlated random potential (including two dimensional free fields) at low temperature. We prove that t…
Behavior near the extinction time in self-similar fragmentations II: Finite dislocation measures
Christina Goldschmidt, Bénédicte Haas
We study a Markovian model for the random fragmentation of an object. At each time, the state consists of a collection of blocks. Each block waits an exponential amount of time wit…
Percolation on random triangulations and stable looptrees
Nicolas Curien, Igor Kortchemski
We study site percolation on Angel & Schramm's uniform infinite planar triangulation. We compute several critical and near-critical exponents, and describe the scaling limit of the…
Maximal displacement of a branching random walk in time-inhomogeneous environment
Bastien Mallein
Consider a branching random walk evolving in a macroscopic time-inhomogeneous environment, that scales with the length of the process under study. We compute the first two term…
Random stable looptrees
Nicolas Curien, Igor Kortchemski
We introduce a class of random compact metric spaces L(α) indexed by α\in (1,2) and which we call stable looptrees. They are made of a collection of random loops glued together alo…
On the heat kernel and the Dirichlet form of Liouville Brownian Motion
Christophe Garban, Rémi Rhodes, Vincent Vargas
In \cite{GRV}, a Feller process called Liouville Brownian motion on has been introduced. It can be seen as a Brownian motion evolving in a random geometry given formally by…
A Curie-Weiss model of self-organized criticality
Raphaël Cerf, Matthias Gorny
We try to design a simple model exhibiting self-organized criticality, which is amenable to a rigorous mathematical analysis. To this end, we modify the generalized Ising Curie-Wei…