Transport and renormalization via probabilistic Hessian estimates
Vienna Probability Seminar
Date:
Wednesday, June 7, 2023 16:45 - 18:00
Speaker:
Yair Shenfeld (MIT)
Location:
Mondi 2 (I01.01.008), Central Building
Series:
Mathematics and CS Seminar
Host:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli, E. Schertzer
Contact:
Birgit Oosthuizen-Noczil
Probabilistic representations of analytic objects have proven to be a valuable tool in analysis and geometry. I will talk about such representations which lead to sharp control on the Hessians of functions along the heat flow. These results lead to new Lipschitz properties of transport maps in Euclidean and manifold settings, and also show up in renormalization groups techniques.