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

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

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