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Lecture by Graeme Milton, May 27, 1:30 - 2:30 pmConvexity of the G-closure and exact relationsWe discuss the convexity properties of the G-closure (the set of all possible effective tensors) and how these properties allow us to use sums of energies and complementary energies to characterize G-closures in a similar way to the way that convex sets are characterized by their Legendre transforms. We will also show how these convexity properties lead to the theory of exact relations as developed by Grabovsky, Sage and myself. |
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| Department of Mathematics VIGRE University of Utah | ||