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Upper tails for intersection local times of random walks in supercritical dimensions
Author(s) -
Chen Xia,
Mörters Peter
Publication year - 2009
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdn074
Subject(s) - intersection (aeronautics) , random walk , logarithm , mathematics , statistical physics , combinatorics , supercritical fluid , statistics , physics , mathematical analysis , geography , cartography , thermodynamics
We determine the precise asymptotics of the logarithmic upper tail probability of the total intersection local time of p independent random walks in ℤ d under the assumption p ( d −2) > d . Our approach allows a direct treatment of the infinite time horizon.