Project Details
Projekt
Foundations of regularity structures
Applicants
Professor Dr. Peter Karl Friz; Professorin Sylvie Paycha, Ph.D.; Professor Dr. Nicolas Perkowski
Subject Area
Mathematics
Term
from 2016 to 2023
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 277012070
Regularity structures in the sense of Hairer (2014) can be seen as major generalization of Lyons' ough path theory, with additional ingredients from renormalization theory, and also drawing inspiration from PDE theory in Holder spaces. We will explore a new approach to renormalization questions, study the scope of non-local operators in Hairer's theory, as well as the role of Malliavin calculus in (Gaussian) models on suitable regularity structures.
DFG Programme
Research Units
