Random matrices and random surfaces (B04)

• Subject Area: Mathematics
• Term: since 2013
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 211504053

We consider the Kardar-Parisi-Zhang universality class of stochastic growth models. The large time fluctuation processes of the interfaces have been derived by the study of exactly solvable models and show connections with random matrices. These processes are conjectured to hold for the full universality class. We want to understand the full space-time correlation structure, extend the investigation beyond exactly solvability and investigate the relations with conformal field theory.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1060: The Mathematics of Emergent Effects
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Heads: Professor Dr. Patrik L. Ferrari; Professorin Dr. Eveliina Peltola, since 1/2021