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Asymptotic behaviour of quasi-eigenvalues of the Laplace operator in the case of the outside of a circular disc

✍ Scribed by N.S. Grigor'eva


Publisher
Elsevier Science
Year
1979
Weight
660 KB
Volume
19
Category
Article
ISSN
0041-5553

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On the exact asymptotic behaviour of the
✍ M.S. Sgibnev πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 100 KB

We consider a random walk drifting to -∞ with distribution F of the steps. The paper considers the exact asymptotic behaviour of the distribution D of the supremum when there exists ¿ 0 such that R e x F(d x) = 1; R |x|e x F(d x) ‘ ∞ and R x 2 e x F(d x) = ∞, thus ÿlling the remaining gap in describ