Capacity of the range of random walk on Z^dReport as inadecuate




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1 LAMA - Laboratoire d-Analyse et de Mathématiques Appliquées 2 I2M - Institut de Mathématiques de Marseille 3 DPMMS-CMS

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 ≥ 6. We present a few open questions in lower dimensions.

Keywords : Capacity Green kernel Lindeberg-Feller central limit theorem





Author: Amine Asselah - Bruno Schapira - Perla Sousi -

Source: https://hal.archives-ouvertes.fr/



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