Publisher DOI: 10.1515/crelle-2013-0070
Title: Note on basic features of large time behaviour of heat kernels
Authors: Keller, Matthias 
Lenz, Daniel 
Vogt, Hendrik 
Wojciechowski, Radosław K. 
Issue Date: 1-Nov-2015
Publisher: De Gruyter
Source: Journal fur die Reine und Angewandte Mathematik 2015 (708): 73-95 (2015)
Abstract (english): 
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 encompasses all irreducible semigroups coming from Dirichlet forms as well as suitable perturbations thereof. It includes, in particular, Laplacians on connected manifolds, metric graphs and discrete graphs.
URI: http://hdl.handle.net/11420/10840
ISSN: 1435-5345
Journal: Journal für die reine und angewandte Mathematik 
Institute: Mathematik E-10 
Document Type: Article
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