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

 Department of Mathematics

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.