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Heat Kernel Asymptotics of Local Dirichlet Spaces as Co-Compact Covers of Finitely Generated Groups

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Abstract

Let X be a complete local Dirichlet space with a local Poincaré inequality, local volume doubling, and volumes of balls of a fixed radius bounded away from both 0 and ∞. When X is a co-compact covering of a finitely generated group, the large time behavior of their heat kernels are comparable. This is an extension of work by Pittet and Saloff-Coste (J Geom Anal 10:713–737, 2000).

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Authors and Affiliations

  1. Roosevelt University, 430 S. Michigan Ave, Chicago, IL, 60605, USA

    Melanie Pivarski

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  1. Melanie Pivarski
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Correspondence to Melanie Pivarski.

Additional information

Pivarski’s research was partially supported by NSF Grant DMS 0306194.

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Pivarski, M. Heat Kernel Asymptotics of Local Dirichlet Spaces as Co-Compact Covers of Finitely Generated Groups. Potential Anal 36, 429–453 (2012). https://doi.org/10.1007/s11118-011-9236-y

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  • DOI: https://doi.org/10.1007/s11118-011-9236-y

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