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arXiv:1012.0733 [math.PR]AbstractReferencesReviewsResources

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

Vadim Kostrykin, Jürgen Potthoff, Robert Schrader

Published 2010-12-03, updated 2010-12-06Version 2

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.

Comments: version 02: references updated, font problem fixed
Categories: math.PR
Subjects: 60J65, 60J45, 60H99, 58J65, 35K05, 05C99
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