A functional central limit theorem (Brownian motion limit in Skorohod space) is proved for the capacity and cardinality of the range of stable random walks when d/alpha is greater than 5/2 and 3/2, respectively.
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Functional CLT for the range of stable random walks
A functional central limit theorem (Brownian motion limit in Skorohod space) is proved for the capacity and cardinality of the range of stable random walks when d/alpha is greater than 5/2 and 3/2, respectively.