My recent research has been concerned with the rate of entropy production in random systems, in particular along the central limit process. Among other things, my collaborators and I solved the old problem of showing that the entropy of normalised sums of IID random variables increases with the number of summands: an analogue of the second law of thermodynamics for the central limit process.

In the past I worked on the applications of sharp convolution inequalities from harmonic analysis to isoperimetric problems in convex geometry and on a number of questions concerning the relationships between the volumes of objects and those of their shadows and sections. I also obtained the densest packings of spheres in high-dimensional spaces, currently known.

This page was last modified on April 15, 2011 by Helen Higgins