Abstract
The present talk is based on a recent paper by K.M.Khanin, A.E.Mazel, S.B.Shlos man and Ya.G.Sinai1, where the behavior of the random walk in random potential is studied. Here we will discuss the question about the properties of the intersection set of independent simple random walks in high dimension: how fast the probability that the intersection set contains k points, decays with k?
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K.M.Khanin, A.E.Mazel, S.B.Shlosman and Ya.G.Sinai. Loop condensation effects in the behav ior of the random walks, to appear.
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© 1994 Springer Science+Business Media New York
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Shlosman, S.B. (1994). Simple Random Walks: New Developments. In: Fannes, M., Maes, C., Verbeure, A. (eds) On Three Levels. NATO ASI Series, vol 324. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2460-1_24
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DOI: https://doi.org/10.1007/978-1-4615-2460-1_24
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6047-6
Online ISBN: 978-1-4615-2460-1
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