Analysis Seminar: Attainability of the singular Wiener bound and leaf venation patterns
Speaker: Zhonggan Huang, University of Utah
Abstract: I will introduce my recent work on the attainability of the singular Wiener bound and its applications in modeling the geometry of leaf venation patterns. This new model explains the reticulation phenomenon in the higher-order vein patterns by applying techniques that come from homogenization theory, geometric measure theory and homotopy groups. I will also introduce a novel application of stationary varifolds in modeling the leaf venation patterns based on a new principle that conductance maximality is equivalent to area criticality.
Host: Ben Foster