output
19972026
most citedAnalysis of a Random Forests Model

678 citations

Showing 2013 · math.PRShow all

9 papers · 2 filters

math.PR2013

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…

math.PR2013★ 2 cited

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…

math.PR2013★ 6 cited

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…

math.PR2013★ 4 cited

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…

math.PR2013★ 10 cited

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…

math.PR2013★ 35 cited

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…

math.PR2013★ 58 cited

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…

math.PR2013★ 18 cited

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…

math.PR2013★ 26 cited

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…