Capacity of the range of random walk on mathbb{Z}^d
classification
🧮 math.PR
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capacityrangemathbbrandomwalkcentraldimensionslimit
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We study the capacity of the range of a transient simple random walk on $\mathbb{Z}^d$. Our main result is a central limit theorem for the capacity of the range for $d\ge 6$. We present a few open questions in lower dimensions.
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