Heat kernels on metric graphs and a trace formula

Details Heat kernels on metric graphs and a trace formula Heat kernels on metric graphs and a trace formula

2007-01-04

arxiv.org/abs/math-ph/0701009v1

"Adventures in Mathematical Physics", Contemporary Mathematics 447, Amer. Math. Soc., 2007, p. 175 - 198

Physics

Mathematical Physics

Scientific paper

We 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.

Affiliated with

Also associated with

No associations

Rating

Heat kernels on metric graphs and a trace formula does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Heat kernels on metric graphs and a trace formula, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Heat kernels on metric graphs and a trace formula will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-310419