03.07.2023 15:00 Gideon Chiusole (TUM):
Towards Abstract Wiener Model SpacesMI 03.06.011 (Boltzmannstr. 3, 85748 Garching)
The theory of abstract Wiener spaces is the basis for many fundamental results of Gaussian measure theory: Large Deviations, Cameron-Martin Theorems, Malliavin Calculus, Support Theorems, etc. Analogues of these classical Theorems exist also in the context of Gaussian Rough Paths and Regularity Structures. It is our goal to investigate the role of an “enhanced” Cameron-Martin subspace in this setting. In particular, we present two approaches to a generalization based on Large Deviation theory and apply them to examples of Rough Path theory and Regularity Structures.