CAPACITY OF THE RANGE OF RANDOM WALK ON Z(4)
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Asselah, Amine
Schapira, Bruno
Sousi, Perla
Abstract
We study the capacity of the range of a transient simple random walk on Z^d. Our main result is a central limit theorem for the capacity of the range for d \geq 6. We present a few open questions in lower dimensions.
Description
Keywords
Capacity, Green kernel, law of large numbers, central limit theorem
Journal Title
ANNALS OF PROBABILITY
Conference Name
Journal ISSN
0091-1798
Volume Title
47
Publisher
American Mathematical Society