75 citations · 438 across the 33 of their papers we have counts for
4 papers · 2 filters
The fixed points of Branching Brownian Motion
Xinxin Chen, Christophe Garban, Atul Shekhar
In this work, we characterize all the point processes on which are left invariant under branching Brownian motions with critical dri…
A new proof of Liggett's theorem for non-interacting Brownian motions
Xinxin Chen, Christophe Garban, Atul Shekhar
In this note, we give a new proof of Liggett's theorem on the invariant measures of independent particle systems from [Lig78] in the particular case of independent drifted Brownian…
Quantitative bounds on vortex fluctuations in Coulomb gas and maximum of the integer-valued Gaussian free field
Christophe Garban, Avelio Sepúlveda
In this paper, we study the influence of the vortices on the fluctuations of systems such as the Coulomb gas, the Villain model or the integer-valued Gaussian free field. In t…
Long-range models in 1D revisited
Hugo Duminil-Copin, Christophe Garban, Vincent Tassion
In this short note, we revisit a number of classical result{s} on long-range 1D percolation, Ising model and Potts models [FS82, NS86, ACCN88, IN88]. More precisely, we show that f…