We study the local structure of the extremal process associated with the Discrete Gaussian
Free Field (DGFF) in scaled-up (square-) lattice versions of bounded open planar domains …

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 …

Recently, sharp results concerning the critical points of the Hamiltonian of the p-spin
spherical spin glass model have been obtained by means of moments computations. In …

Let $ X $ be a random walk on the torus of side length $ N $ in dimension $ d\geq 3$ with
uniform starting point, and $ t_ {\text {cov}} $ be the expected value of its cover time, which is …

We consider the thick points of random walk, ie points where the local time is a fraction of the
maximum. In two dimensions, we answer a question of [19] and compute the number of thick …

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 …

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 …

Pinning and disorder relevance for the lattice Gaussian free field Page 1 DOI 10.4171/JEMS/764
J. Eur. Math. Soc. 20, 199–257 c European Mathematical Society 2018 Giambattista Giacomin …

We consider the lattice Gaussian free field in d+ 1 dimensions, d= 3 or larger, on a large box
(linear size N) with boundary conditions zero. On this field, two potentials are acting: one …