Talks
Fall 2014

# Reconstruction of Algebraic-exponential Data from Moments and Solving a Generalized Lowner-John Problem

Wednesday, October 15th, 2014 2:00 pm3:00 pm

Let G be a bounded open subset of Euclidean space with real algebraic boundary. In a first part of the talk we consider the case where $G={x: g(x) <=1}$ for some quasi-homogeneous polynomial "g" and derive several properties of "G" as well as the non-Gaussian integral \int exp(-g)dx. In particular we show that the volume of G is a convex function of the coefficients of "g" and solve a generalized version of the Lowner-John problem.