%0 Journal Article
%T Capacity of the range of random walk on Z^d
%+ Laboratoire d'Analyse et de Mathématiques Appliquées (LAMA)
%+ Institut de Mathématiques de Marseille (I2M)
%+ Department of Pure Mathematics and Mathematical Statistics (DPMMS)
%A Asselah, Amine
%A Schapira, Bruno
%A Sousi, Perla
%Z 20p.
%< avec comité de lecture
%@ 0002-9947
%J Transactions of the American Mathematical Society
%I American Mathematical Society
%V 370
%N 11
%P 7627-7645
%8 2018-11
%D 2018
%Z 1602.03499
%R 10.1090/tran/7247
%K Capacity
%K Green kernel
%K Lindeberg-Feller central limit theorem
%Z 60F05; 60G50
%Z Mathematics [math]/Probability [math.PR]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-01272481/document
%2 https://hal.science/hal-01272481/file/capacity-new.pdf
%L hal-01272481
%U https://hal.science/hal-01272481
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ LAMA_UMR8050
%~ UPEC
%~ I2M
%~ I2M-2014-
%~ AMIDEX
%~ ANR
%~ UNIV-EIFFEL
%~ UPEM-UNIVEIFFEL