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arXiv · 0911.3895

Strong approximations in a charged-polymer model

Yueyun Hu·Davar Khoshnevisan
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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 $\{H_{[nt]}\}_{0\le t\le 1}$ 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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Yueyun Hu, Davar Khoshnevisan. 2009-11-19. Strong approximations in a charged-polymer model. https://arxiv.org/abs/0911.3895

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