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 study how the typical gradient and typical height of a random surface are modified by the
addition of quenched disorder in the form of a random independent external field. The …

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 …

We characterize the behavior of a random discrete interface ϕ on [− L, L] d∩ Z d with
energy∑ V (Δ ϕ (x)) as L→∞, where Δ is the discrete Laplacian and V is a uniformly convex …

We prove estimates for the Green's function of the discrete bilaplacian in squares and cubes
in two and three dimensions which are optimal except possibly near the corners of the …

Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph
approximations - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

The seminal 1975 work of Brascamp-Lieb-Lebowitz initiated the rigorous study of Ginzberg-
Landau random surface models. It was conjectured therein that fluctuations are localized on …

This work is concerned with fractional Gaussian fields, ie Gaussian fields whose covariance
operator is given by the inverse fractional Laplacian $(-\Delta)^{-s} $(where, in particular, we …

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 …

We consider the membrane model on a box V_N⊂Z^n of size (2N+1)^n with zero boundary
condition in the subcritical dimensions n=2 and n=3. We show optimal estimates for the …