Project A03
Random interface models, scaling limits and large deviations

Project description

We model a random interface as the graph of a random function Φ: B->Z^d, where B is a large box in Z^d. The aim is to study the asymptotic properties of these models, particularly rescaling the anharmonic Laplace interaction model, constructing the |∇ Φ|^p model, and assessing the impact of a Poisson point process as basis. For both models, large-scale behaviors such as isotropy and stiffness are explored in the context of large deviations.