Abstract
In this article, we establish a central limit theorem for the capacity of the
range process for a class of d-dimensional symmetric α-stable random walks with the
index satisfying d > 5α/2. Our approach is based on controlling the limit behavior of the variance of the capacity of the range process which then allows us to apply the Lindeberg-Feller theorem.
range process for a class of d-dimensional symmetric α-stable random walks with the
index satisfying d > 5α/2. Our approach is based on controlling the limit behavior of the variance of the capacity of the range process which then allows us to apply the Lindeberg-Feller theorem.
Originalsprache | englisch |
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Seitenumfang | 18 |
Publikationsstatus | Veröffentlicht - 2019 |
Publikationsreihe
Name | arXiv.org e-Print archive |
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Herausgeber (Verlag) | Cornell University Library |
ASJC Scopus subject areas
- Mathematik (insg.)