Brownian Motions on Metric Graphs I - Definition, Feller Property, and Generators

J\"urgen Potthoff; Robert Schrader; Vadim Kostrykin

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Brownian Motions on Metric Graphs I - Definition, Feller Property, and Generators

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arxiv 1012.0733 v2 pith:3FEBHMFR submitted 2010-12-03 math.PR

Vadim Kostrykin , Jürgen Potthoff , Robert Schrader This is my paper · ORCID

classification math.PR

keywords fellermetricbrowniangeneratorsgraphsmotionspropertycharacterized

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Brownian motions on a metric graph are defined, their Feller property is proved, and their generators are characterized. This yields a version of Feller's theorem for metric graphs.

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