Note on basic features of large time behaviour of heat kernels

Details Note on basic features of large time behaviour of heat kernels Note on basic features of large time behaviour of heat kernels

2011-01-01

arxiv.org/abs/1101.0373v1

Mathematics

Functional Analysis

17 pages

Scientific paper

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.

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