Note on basic features of large time behaviour of heat kernels
Functional Analysis
2012-12-19 v2 Mathematical Physics
math.MP
Abstract
Large time behaviour of heat semigroups (and more generally, of positive selfadjoint semigroups) is studied. Convergence of the semigroup to the ground state and of averaged logarithms of kernels to the ground state energy is shown in the general framework of positivity improving selfadjoint semigroups. This framework includes Laplacians on manifolds, metric graphs and discrete graphs.
Cite
@article{arxiv.1101.0373,
title = {Note on basic features of large time behaviour of heat kernels},
author = {Matthias Keller and Daniel Lenz and Hendrik Vogt and Radosław Wojciechowski},
journal= {arXiv preprint arXiv:1101.0373},
year = {2012}
}
Comments
24 pages