The Brownian Transport Map - IPAM at UCLA

Explore a 24-minute conference talk by Yair Shenfeld from the Massachusetts Institute of Technology, presented at IPAM's Calculus of Variations in Probability and Geometry Workshop. Delve into the concept of the Brownian transport map, a novel Lipschitz transport map that transports infinite-dimensional Wiener measure onto measures on Euclidean spaces. Discover the construction of this map, its unique Lipschitz properties, and its applications to Euclidean functional inequalities. Gain insights into the problem of transport on the Wiener space itself. The presentation covers topics such as introduction to other measures, transportation maps and approaches, optimal transport, examples, the Klas conjecture, and the Klas and guardian transport map, concluding with final remarks on this collaborative work with Dan Mikulincer.