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.
| Original language | English |
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| Number of pages | 18 |
| Publication status | Published - 2019 |
Publication series
| Name | arXiv.org e-Print archive |
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| Publisher | Cornell University Library |
Keywords
- Capacity
- Central limit theorem
- Strong transience
- The range of a random walk
ASJC Scopus subject areas
- General Mathematics