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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
##### Keywords:
asymptotic behavior; graph networks; heat kernel
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