Heat kernels on metric graphs and a trace formula

Simple item page
dc.creatorKostrykin, Vadim
dc.creatorPotthoff, Jurgen
dc.creatorSchrader, Robert
dc.date2007-01-04
dc.date.accessioned2026-07-07T09:18:19Z
dc.date.available2026-07-07T09:18:19Z
dc.descriptionWe study heat semigroups generated by self-adjoint Laplace operators on metric graphs characterized by the property that the local scattering matrices associated with each vertex of the graph are independent from the spectral parameter. For such operators we prove a representation for the heat kernel as a sum over all walks with given initial and terminal edges. Using this representation a trace formula for heat semigroups is proven. Applications of the trace formula to inverse spectral and scattering problems are also discussed.
dc.identifierhttps://arxiv.org/abs/math-ph/0701009
dc.identifierhttp://arxiv.org/abs/math-ph/0701009
dc.identifier"Adventures in Mathematical Physics", Contemporary Mathematics 447, Amer. Math. Soc., 2007, p. 175 - 198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153985
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject34B45; 81U40; 47D06
dc.titleHeat kernels on metric graphs and a trace formula
dc.typetext

Files

Collections

arXiv