×

zbMATH — the first resource for mathematics

Asymptotic behavior of skew conditional heat kernels on graph networks. (English) Zbl 0799.58084
Summary: We consider the heat propagation on locally finite graph networks which satisfy a skew condition on vertices (see Definition of Section 2). For several periodic models, we construct the heat kernels \(P_ t\) with the skew condition explicitly, and derive the decay order of \(P_ t\) as time goes to infinity.

MSC:
58J99 Partial differential equations on manifolds; differential operators
60J65 Brownian motion
PDF BibTeX XML Cite
Full Text: DOI