Linear spaces of tilings.

Richard Kenyon


Brandeis University

Thursday, March 23, 2017

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 100 Goldsmith Hall


Abstract: Statistical mechanics deals with measures in high dimensions. Basically there are only three situations where we can deal effectively with such measures: when the measure is a product measure; when it is Gaussian; or when it is determinantal. The third case is the least familiar. We discuss a model of tilings in the plane with convex polygonal tiles, related to a determinantal measure. One main result, roughly stated, is ``choose your favorite shape for each tile (up to scale, and subject to the constraint that adjacent tiles have their common edges in the same direction), then there is a tiling with those shapes".

Home Web page: Alexandru I. Suciu Posted: March 10, 2017
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