Burago, D;
Ivanov, S;
Kurylev, Y;
(2015)
Spectral stability of metric-measure Laplacians.
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Abstract
We consider a "convolution mm-Laplacian" operator on metric-measure spaces and study its spectral properties. The definition is based on averaging over small metric balls. For reasonably nice metric-measure spaces we prove stability of convolution Laplacian's spectrum with respect to metric-measure perturbations and obtain Weyl-type estimates on the number of eigenvalues.
| Type: | Working / discussion paper |
|---|---|
| Title: | Spectral stability of metric-measure Laplacians |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | https://arxiv.org/abs/1506.06781v3 |
| Language: | English |
| Keywords: | Laplacian, metric-measure space, spectrum, spectral approximation |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1522489 |
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