Upper tails for intersection local times of random walks in supercritical dimensions

• Autores: Xia Chen, Peter Mörters
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 79, Nº 1, 2009, págs. 186-210
• Idioma: inglés
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• Resumen

  • We determine the precise asymptotics of the logarithmic upper tail probability of the total intersection local time of p independent random walks in d under the assumption p(d�2) > d. Our approach allows a direct treatment of the infinite time horizon.