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تسجيل مستخدم جديدCapacity of the range of random walk on $mathbb{Z}^4$
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We study the scaling limit of the capacity of the range of a simple random walk on the integer lattice in dimension four. We establish a strong law of large numbers and a central limit theorem with a non-gaussian limit. The asymptotic behaviour is analogous to that found by Le Gall in 86 for the volume of the range in dimension two.
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