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math.PR2023
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…
math.PR2023
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…
math.PR2023
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]^…