Abstract
In this article, we establish an almost sure invariance principle for the capacity
and cardinality of the range for a class of α-stable random walks on the integer
lattice Zd with d > 5α/2 and d > 3α/2, respectively. As a direct consequence, we
conclude Khintchine's and Chung's laws of the iterated logarithm for both processes.
and cardinality of the range for a class of α-stable random walks on the integer
lattice Zd with d > 5α/2 and d > 3α/2, respectively. As a direct consequence, we
conclude Khintchine's and Chung's laws of the iterated logarithm for both processes.
| Originalsprache | englisch |
|---|---|
| Seitenumfang | 16 |
| Publikationsstatus | Veröffentlicht - 2019 |
Publikationsreihe
| Name | arXiv.org e-Print archive |
|---|---|
| Herausgeber (Verlag) | Cornell University Library |
ASJC Scopus subject areas
- Mathematik (insg.)