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Heat trace asymptotics for quantum graphs
Published 12 Dec 2012 in math.AP | (1212.2840v1)
Abstract: We consider a quantum graph where the operator contains a potential. We show that this operator admits a heat kernel. Under some assumptions on the potential, this heat kernel admits an asymptotic expansion at t=0 with coefficients that depend on the potential in a universal way. These coefficients are spectral invariants, we compute the first few of them.
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