75 citations · 438 across the 33 of their papers we have counts for
40 papers
The critical Ising magnetization field can be reconstructed from its interfaces
Paul Cahen, Christophe Garban, Avelio Sepúlveda
The critical Ising model admits several natural scaling limits. For an Ising model on a lattice approximation of a planar domain , the rescaled spin field converges, as $a…
Harmonic analysis of Gaussian multiplicative chaos on the circle
Christophe Garban, Vincent Vargas
In this paper, we initiate the harmonic analysis of Gaussian multiplicative chaos (GMC) on the circle, i.e. the study of its Fourier coefficients. In particular, we show that almos…
Domain of attraction of the fixed points of Branching Brownian motion
Xinxin Chen, Christophe Garban, Atul Shekhar
We give a complete characterisation of the domain of attraction of fixed points of branching Brownian motion (BBM) with critical drift. Prior to this classification, we introduce a…
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets
Barbara Dembin, Christophe Garban
We consider the standard first passage percolation model on with a distribution taking two values . We study the maximal flow through the cylinder $[0,n]^…
Percolation for 2D classical Heisenberg model and exit sets of vector valued GFF
Juhan Aru, Christophe Garban, Avelio Sepúlveda
Our motivation in this paper is twofold. First, we study the geometry of a class of exploration sets, called exit sets, which are naturally associated with a 2D vector-valued GFF :…
Continuous symmetry breaking along the Nishimori line
Christophe Garban, Thomas Spencer
We prove continuous symmetry breaking in three dimensions for a special class of disordered models described by the Nishimori line. The spins take values in a group such as $\mathb…