Oscillatory integrals in random matrix models (A02)

• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 539309657

A large number of problems in modern equilibrium statistical mechanics and theoretical physics, including important random matrix models describing transport phenomena in disordered media, can be studied through integrals on a manifold, possibly involving anti-commuting variables. A major challenge is to prove or disprove existence of critical values where a phase transition occurs and to understand the behavior at the critical point. The goal of this project is to develop tools to analyze situations where the measure is, at least partially, complex-valued and hence classical methods fail.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1720: Analysis of criticality: from complex phenomena to models and estimates
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Head: Professorin Dr. Margherita Disertori, since 7/2025