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Analysis and Its Applications Seminar
The Heat Kernel Asymptotics in a Polyhedron
Leonid Friedlander
Department of Mathematics, The University of Arizona
Monday, 9 November 2009
4:00 PM
The contribution of a vertex to the small time asymptotics of the heat trace in a polyhedron is rather complicated. I will give an expression for this contribution in terms of a certain function that is related to Brownian motion. I will also discuss the history of the problem.