Boundary representation of Dirichlet forms on discrete spaces

We describe the set of all Dirichlet forms associated to a given infinite graph in terms of Dirichlet forms on its Royden boundary. Our approach is purely analytical and uses form methods.

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Bibliographic Details
Main Authors Keller, Matthias, Lenz, Daniel, Schmidt, Marcel, Schwarz, Michael
Format Journal Article
LanguageEnglish
Published 22.11.2017
Subjects
Mathematics - Functional Analysis
Mathematics - Mathematical Physics
Mathematics - Spectral Theory
Physics - Mathematical Physics
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Summary:We describe the set of all Dirichlet forms associated to a given infinite graph in terms of Dirichlet forms on its Royden boundary. Our approach is purely analytical and uses form methods.
DOI:10.48550/arxiv.1711.08304