Article
Licensed
Unlicensed
Requires Authentication
Dirichlet forms and stochastic completeness of graphs and subgraphs
-
Matthias Keller
and
Daniel Lenz
Published/Copyright:
July 24, 2011
Abstract
We study Laplacians on graphs and networks via regular Dirichlet forms. We give a sufficient geometric condition for essential selfadjointness and explicitly determine the generators of the associated semigroups on all ℓp, 1 ≦ p < ∞, in this case. We characterize stochastic completeness thereby generalizing all earlier corresponding results for graph Laplacians. Finally, we study how stochastic completeness of a subgraph is related to stochastic completeness of the whole graph.
Received: 2010-03-18
Revised: 2010-12-12
Published Online: 2011-07-24
Published in Print: 2012-05
©[2012] by Walter de Gruyter Berlin Boston
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Cohomologie log plate, actions modérées et structures galoisiennes
- Modularité, formes de Siegel et surfaces abéliennes
- Scattering theory for Schrödinger operators with Bessel-type potentials
- The Brauer group of Kummer surfaces and torsion of elliptic curves
- Relative Chow–Künneth decompositions for morphisms of threefolds
- Control theorems for Selmer groups of nearly ordinary deformations
- Dirichlet forms and stochastic completeness of graphs and subgraphs
- Beauville surfaces and finite simple groups
Articles in the same Issue
- Cohomologie log plate, actions modérées et structures galoisiennes
- Modularité, formes de Siegel et surfaces abéliennes
- Scattering theory for Schrödinger operators with Bessel-type potentials
- The Brauer group of Kummer surfaces and torsion of elliptic curves
- Relative Chow–Künneth decompositions for morphisms of threefolds
- Control theorems for Selmer groups of nearly ordinary deformations
- Dirichlet forms and stochastic completeness of graphs and subgraphs
- Beauville surfaces and finite simple groups
