77 citations · 131 across the 9 of their papers we have counts for
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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★ 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
Maximum of a log-correlated Gaussian field
Thomas Madaule
We study the maximum of a Gaussian field on $[0,1]^\d$ ($\d \geq 1$) whose correlations decay logarithmically with the distance. Kahane \cite{Kah85} introduced this model to constr…