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Abstract
Like pure mathematics, applied mathematics thrives on unexpected links between subfields. The stochastic modeling of perception has created the need for new types of probability models of the patterns of the world. One of these is “shape”, the illusive quality that tells, for instance, what is a dog, what is a cat. We will review various models to capture these patterns, esp. the wonderful link, based on the work of Arnold and forged by Grenander and Miller, with the Euler equation.

Biography
Information about David Mumford is available at his website.