Large scale modeling of non-linear microscopic dynamics via singular SPDEs (B09)

• Subject Area: Mathematics
• Term: from 2017 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 211504053

This project's broad goal is to characterize macroscopic fluctuation of stochastic systems via stochastic differential equations. The nonlinear multiscale features of the models reflect themselves in various interlinked themes: renormalization, singular nonlinear interactions, failure of standard functional spaces, and convergence to universal limits. To successfully address the technical challenges they present we are developing new tools and methods at the boundary between probability and analysis: multilinear dispersive estimates for random fields, paradifferential renormalized decompositions, and singular variational problems.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1060: The Mathematics of Emergent Effects
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Head: Professor Dr. Massimiliano Gubinelli