Strong approximations in a charged-polymer model
Probability
2009-11-23 v1
Abstract
We study the large-time behavior of the charged-polymer Hamiltonian 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 behaves like a Brownian motion, time-changed by the intersection local-time process of an independent Brownian motion. Chung-type LILs are also discussed.
Keywords
Cite
@article{arxiv.0911.3895,
title = {Strong approximations in a charged-polymer model},
author = {Yueyun Hu and Davar Khoshnevisan},
journal= {arXiv preprint arXiv:0911.3895},
year = {2009}
}
Comments
15 pages