## Regularity spaces in a geometric framework. Examples and application to Gaussian processes and non-parametric statistical adaptive estimation.

- April 25, 2018
- 4 p.m.
- LeConte 312

## Abstract

In this talk we first review the theory of Dirichlet spaces, where one can develop regularity spaces and a wavelet system. This theory, for instance, applies to convex subsets of Riemannian manifolds. Then we revisit and generalize some classical results on the behavior of Gaussian processes and non-parametric adaptive statistical estimation.