Student Probability/PDE Seminar: Integral Estimates for Approximations by Volume Preserving Maps
Seminar | January 27 | 2:10-3:30 p.m. | 891 Evans Hall
Christopher Policastro, UC Berkeley
The Brenier decomposition is a nonlinear version of the polar decomposition. It determines the nearest approximation by a volume preserving map. Following work of Kohn and Friesecke-James-Muller, I will discuss a quantitative Brenier decomposition bounding the deviation of a map from volume preserving by the deviation of its derivative from volume preserving.