Strong approximations in a charged-polymer model |
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| Authors: | Yueyun Hu Davar Khoshnevisan |
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| Institution: | 1. Département de Mathématiques, Université Paris XIII, 99 avenue J.B. Clément, F-93430, Villetaneuse, France
2. Department of Mathematics, University of Utah, 155 South 1440 East, JWB 233, Salt Lake City, Utah, 84112-0090, USA
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| Abstract: | We study the large-time behavior of the charged-polymer Hamiltonian H n of Kantor and Kardar Bernoulli case] and Derrida, Griffiths, and Higgs Gaussian case], using strong approximations to Brownian motion. Our results imply, among other things, that in one dimension the process {H nt]}0≤t≤1 behaves like a Brownian motion, time-changed by the intersection local-time process of an independent Brownian motion. Chung-type LILs are also discussed. |
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