This volume introduces readers to the world of disordered systems and to some of the
remarkable probabilistic techniques developed in the field. The author explores in depth a …

In these notes we try to review developments in the last decade of the theory on stochastic
models for interfaces arising in two phase system, mostly on the so-called⊸ φ interface …

Polymer chains that interact with themselves and/or with their environment are fascinating
objects, displaying a range of interesting physical and chemical phenomena. The focus in …

The probabilistic study of effective interface models has been quite active in recent years,
with a particular emphasis on the effect of various external potentials (wall, pinning …

Let {Sn} be a random walk in the domain of attraction of a stable law Y, ie there exists a
sequence of positive real numbers (an) such that Sn/an converges in law to Y. Our main …

We study the wetting model, which considers a random walk constrained to remain above a
hard wall, but with additional pinning potential for each contact with the wall. This model is …

We consider a random field ϕ:{1,…, N}→ ℝ as a model for a linear chain attracted to the
defect line ϕ= 0, that is, the x-axis. The free law of the field is specified by the density exp …

In this paper, we survey and discuss various surface phenomena such as prewetting,
layering and faceting for a family of two-and three-dimensional low-temperature models of …

It is shown that in both the nuclear shell model, considering explicitly proton and neutron
degrees of freedom (seniority scheme), and in particle-core coupling model calculations, 2+ …

This is an exciting time for those who are interested in stochastic partial differential
equations. The recent groundbreaking work by Martin Hairer on regularity structures and …