Mörters, Peter Upper tail asymptotics for the intersection local times of random walks in high dimensions. (English) Zbl 1483.60070 Actes Rencontres C.I.R.M. 2, No. 1, 27-29 (2010). Summary: In high dimensions two independent simple random walks have only a finite number of intersections. I describe the main result obtained in a joint paper with X. Chen [J. Lond. Math. Soc., II. Ser. 79, No. 1, 186–210 (2009; Zbl 1170.60019)] in which we determine the exact upper tail behaviour of the intersection local time. MSC: 60G50 Sums of independent random variables; random walks 60F10 Large deviations Keywords:intersection local time; random walks Citations:Zbl 1170.60019 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] X. Chen and P. Mörters. Upper tails for intersection local times of random walks in supercritial dimensions. \(Journal of the London Mathematical Society\), 79 (2009) 186-210. · Zbl 1170.60019 [2] A. Dvoretzky and P. Erdős. Some problems on random walk in space. In: \(Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability\), 1950. University of California Press, Berkeley and Los Angeles, pp. 353-367, 1951. | · Zbl 0044.14001 [3] K.M. Khanin, A.E. Mazel, S.B. Shlosman and Ya.G. Sinai. Loop condensation effects in the behavior of random walks. In: \(Markov processes and applications\), Birkhäuser, pp. 167-184, 1994. · Zbl 0814.60063 [4] W. König and P. Mörters. Brownian intersection local times: Upper tail asymptotics and thick points. \(Annals of Probability\), 30 (2002) 1605-1656. | | Copyright Cellule MathDoc 2018 · Zbl 1032.60073 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.