University of Bergen
09/05/2022 – h. 2 p.m.
Bio: Erlend is an assistant professor at the Department of Mathematics at University of Bergen. He is a researcher in the project GeoProCo: Geometry and Probability with Constrains, supported by the Trond Mohn Foundation. See more details about the project at its homepage. He did his PhD at University of Bergen and his Post Doc at Universite Paris Saclay. His research interests are centered around sub-Riemannian geometry, and branches out in any direction linked to this subject.
Title: Most probable paths for anisotropic Brownian motion.
Abstract: We want to consider mean and covariance of a set of points on a Riemannian manifold in an intrinsic way. In order to do this we will use the diffusion mean. Trying to estimate this mean with covariance, one of the main tools is most probable paths, that differ from geodesics when spaces are curved. We will describe these paths in details and show their applications in algorithms for finding the diffusion mean and variance..Computing most probable paths is related to sub-Riemannian geometry of the frame bundle.