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Probabilistic methods for eigenvalue estimates

✍ Scribed by Gabriella del Grosso; Anna Gerardi; Federico Marchetti


Book ID
103895670
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
244 KB
Volume
26
Category
Article
ISSN
0378-4754

No coin nor oath required. For personal study only.

✦ Synopsis


Some probabilistic

techniques are discussed regarding their use in estimating the principal eigenvalue of an elliptic operator. Such estimates are useful when studying models for biochemical reactions governed by lateral diffusion.

In this paper we summarize recent results on some mathematical techniques that were developed to study certain biological models.

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Upper eigenvalue estimates for Dirac ope
✍ Christian BΓ€r πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 251 KB

We derive upper eigenvalue estimates for generalized Dirac operators on closed Riemannian manifolds. In the case of the classical Dirac operator the estimates on the first eigenvalues are sharp for spheres of constant curvature.