NOTE ON BASIC FEATURES OF LARGE TIME BEHAVIOUR OF HEAT KERNELS
by
Matthias Keller
,
Daniel Lenz
,
Hendrik Vogt
,
Rados̷law Wojciechowski
BibTeX
@MISC{Keller_noteon,
author = {Matthias Keller and Daniel Lenz and Hendrik Vogt and Rados̷law Wojciechowski},
title = {NOTE ON BASIC FEATURES OF LARGE TIME BEHAVIOUR OF HEAT KERNELS},
year = {}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
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.
