Large deviations for self-intersection local times in subcritical dimensions
نویسندگان
چکیده
منابع مشابه
Large deviations for self-intersection local times in subcritical dimensions
Let (Xt, t ≥ 0) be a simple symmetric random walk on Z and for any x ∈ Z, let lt(x) be its local time at site x. For any p > 1, we denote by It = ∑ x∈Zd lt(x) p the p-fold self-intersection local times (SILT). Becker and König [6] recently proved a large deviations principle for It for all p > 1 such that p(d − 2/p) < 2. We extend these results to a broader scale of deviations and to the whole ...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2012
ISSN: 1083-6489
DOI: 10.1214/ejp.v17-1874