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- W2127102003 abstract "In this thesis we describe a type of metric space called an Euclidean polyhedral complex. We define a Dirichlet form on it; this is used to give a corresponding heat kernel. We provide a uniform small time Poincare inequality for complexes with bounded geometry and use this to determine uniform small time heat kernel bounds via a theorem of Sturm. We then consider such complexes with an underlying finitely generated group structure. We use techniques of Saloff-Coste and Pittet to show a large time asymptotic equivalence for the heat kernel on the complex and the heat kernel on the group." @default.
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- W2127102003 date "2006-01-01" @default.
- W2127102003 modified "2023-09-27" @default.
- W2127102003 title "Heat kernels on euclidean complexes" @default.
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