CAPACITY OF THE RANGE OF RANDOM WALK ON Z(4)
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Peer-reviewed
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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.
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Journal Title
ANNALS OF PROBABILITY
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Journal ISSN
0091-1798
Volume Title
47
Publisher
American Mathematical Society
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