Asymptotic variance of the self-intersections of stable random walks using Darboux-Wiener theory

We present a Darboux-Wiener type lemma as a powerful alternative to the classical Tauberian theorem when monotonicity is not known a priori. We apply it to obtain the exact asymptotics of the variance of the self-intersections of a one-dimensional stable random walk. Finally we prove a functional ce...

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Váldodahkkit: Deligiannidis, G, Utev, SA
Materiálatiipa: Journal article
Giella:English
Almmustuhtton: 2011