These lecture notes offer a gentle introduction to the two-dimensional Discrete Gaussian
Free Field with particular attention paid to the scaling limits of the level sets at heights …

We show that the centred maximum of the four-dimensional membrane model on a box of
sidelength N converges in distribution. To do so, we use a criterion of Ding, Roy and …

We consider the Gaussian interface model in the presence of random external fields, that is
the finite volume (random) Gibbs measure on R Λ N, Λ N=[-N, N] d∩ Z d with Hamiltonian …

In this article we give a general criterion for some dependent Gaussian models to belong to
maximal domain of attraction of Gumbel, following an application of the Stein–Chen method …

Cette thèse porte sur le phénomène de superconcentration qui apparaît dans l'étude des
fluctuations de divers modèles de la recherche actuelle (matrices aléatoires, verres de …

For the critical level-set of the Gaussian free field on the metric graph of $\mathbb Z^ d $, we
consider the one-arm probability $\theta_d (N) $, ie, the probability that the boundary of a …

In this thesis, we study the extreme values of certain log-correlated random fields that are
Gaussian (the scale-inhomogeneous Gaussian free field and the time-inhomogeneous …

In this article we study the scaling limit of the interface model on\, Z\,^ d Z d where the
Hamiltonian is given by a mixed gradient and Laplacian interaction. We show that in any …

We consider the $\nabla\phi $ interface model in the presence of random external fields, that
is the finite volume (random) Gibbs measure on $\mathbb {R}^{\Lambda_N} …

This thesis is concerned with the membrane model, an example of a discrete random
interface model. This model arises, for example, when studying thermal fluctuations in …