75 citations · 438 across the 33 of their papers we have counts for
6 papers · 2 filters
The scaling limits of the Minimal Spanning Tree and Invasion Percolation in the plane
Christophe Garban, Gábor Pete, Oded Schramm
We prove that the Minimal Spanning Tree and the Invasion Percolation Tree on a version of the triangular lattice in the complex plane have unique scaling limits, which are invarian…
Planar Ising magnetization field II. Properties of the critical and near-critical scaling limits
Federico Camia, Christophe Garban, Charles M. Newman
In [CGN12], we proved that the renormalized critical Ising magnetization fields converge as to a random distribution that…
Coalescing Brownian flows: A new approach
Nathanaël Berestycki, Christophe Garban, Arnab Sen
The coalescing Brownian flow on is a process which was introduced by Arratia [Coalescing Brownian motions on the line (1979) Univ. Wisconsin, Madison] and Tóth and Wer…
The scaling limits of near-critical and dynamical percolation
Christophe Garban, Gábor Pete, Oded Schramm
We prove that near-critical percolation and dynamical percolation on the triangular lattice have a scaling limit as the mesh , in the "quad-crossing" space $\…
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…
Liouville Brownian motion
Christophe Garban, Rémi Rhodes, Vincent Vargas
We construct a stochastic process, called the Liouville Brownian motion, which is the Brownian motion associated to the metric , and is a Gaussian Fr…