142 citations · 833 across the 42 of their papers we have counts for
8 papers · 2 filters
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…
Liouville Brownian motion at criticality
Rémi Rhodes, Vincent Vargas
In this paper, we construct the Brownian motion of Liouville Quantum Gravity with central charge (more precisely we restrict to the corresponding free field theory). Liouvill…
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…
Complex Gaussian multiplicative chaos
Hubert Lacoin, Rémi Rhodes, Vincent Vargas
In this article, we study complex Gaussian multiplicative chaos. More precisely, we study the renormalization theory and the limit of the exponential of a complex log-correlated Ga…
Gaussian multiplicative chaos and applications: a review
Rémi Rhodes, Vincent Vargas
In this article, we review the theory of Gaussian multiplicative chaos initially introduced by Kahane's seminal work in 1985. Though this beautiful paper faded from memory until re…
Spectral dimension of Liouville quantum gravity
Rémi Rhodes, Vincent Vargas
This paper is concerned with computing the spectral dimension of 2d-Liouville quantum gravity. As a warm-up, we first treat the simple case of boundary Liouville quantum gravity. W…