Strong approximations in a charged-polymer model
نویسندگان
چکیده
We study the large-time behavior of the charged-polymer Hamiltonian Hn 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, timechanged by the intersection local-time process of an independent Brownian motion. Chung-type LILs are also discussed.
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ورودعنوان ژورنال:
- Periodica Mathematica Hungarica
دوره 61 شماره
صفحات -
تاریخ انتشار 2010