Random interface models, scaling limits and large deviations (A03)

Subject Area Mathematics
Term since 2024
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 516748464
 

Project Description

We model a random interface as the graph of a random function Phi: 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 |\nabla Phi|^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.
DFG Programme CRC/Transregios
Subproject of TRR 388:  Rough Analysis, Stochastic Dynamics and Related Fields
Applicant Institution Technische Universität Berlin
Project Heads Professor Dr. Jean-Dominique Deuschel; Professor Dr. Wolfgang König; Professorin Dr. Barbara Zwicknagl