Abstract
In this note, we establish a functional central limit theorem for the capacity of the
range for a class of α-stable random walks on the integer lattice Zd with d > 5α/2. Using similar methods, we also prove an analogous result for the cardinality of the range when d > 3α/2.
range for a class of α-stable random walks on the integer lattice Zd with d > 5α/2. Using similar methods, we also prove an analogous result for the cardinality of the range when d > 3α/2.
| Original language | English |
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| Number of pages | 12 |
| Publication status | Published - 2019 |
Publication series
| Name | arXiv.org e-Print archive |
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| Publisher | Cornell University Library |
Keywords
- The range of a random walk
- Capacity
- Functional central limit theorem
ASJC Scopus subject areas
- General Mathematics