Albeverio S., Zhou X.Y. — A Renormalization Result for the Intersection Local Time of Lattice Random Walks in d >= 3 Dimensions
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Название: A Renormalization Result for the Intersection Local Time of Lattice Random Walks in d >= 3 Dimensions
Авторы: Albeverio S., Zhou X.Y.
Аннотация:
In this paper we derive some general conditions on stable walks in Z^d, under which the central limit theorem holds for their normalized intersection local time. In particular, we prove that the process given by the normalized intersection local time of the simple random walk in Z^d, with d>=3, is weakly convergent to the standard Brownian motion.
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