Heat kernels of metric trees and applications

Details Heat kernels of metric trees and applications Heat kernels of metric trees and applications

2011-08-31

arxiv.org/abs/1108.6145v1

Mathematics

Spectral Theory

Scientific paper

We consider the heat semi-group generated by the Laplace operator on metric
trees. Among our results we show how the behavior of the associated heat kernel
depends on the geometry of the tree. As applications we establish new
eigenvalue estimates for Schroedinger operators on metric trees.

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