Dynamics and bifurcation theory of pathwise SPDEs (A06)

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

The project aims to analyze the asymptotic behavior of rough and singular stochastic partial differential equations, especially at bifurcations, using finite-time Lyapunov exponents and amplitude equations for bifurcation analysis. It also develops a theory of attractors and investigates the convergence speed to invariant measures, focusing on describing mixing times in hydrodynamic limits.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 388: Rough Analysis, Stochastic Dynamics and Related Fields
• Applicant Institution: Technische Universität Berlin
• Project Heads: Professorin Dr. Alexandra Blessing; Professor Dr. Nicolas Perkowski