Indices of Dirichlet forms

Hino, Masanori

doi:10.1090/suga/423

Indices of Dirichlet forms
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by Masanori Hino
Translated by: Masanori Hino

Sugaku Expositions 30 (2017), 187-205

DOI: https://doi.org/10.1090/suga/423

Published electronically: September 15, 2017

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Abstract:

This article presents recent progress on the theory of Dirichlet forms, and, in particular, on the indices and related concepts of strong-local Dirichlet forms. We discuss the relation to geometric structures of the underlying spaces and local structures of the associated diffusion processes. Some results on quantitative estimates of indices for typical fractal sets are also explained.

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