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Ballistic phase of self-interacting random walks

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Ioffe, Dmitry
Published in Morters, P. et. al. Analysis and Stochastics of Growth Processes and Interface Models: Oxford University Press. 2008, p. 23
Abstract We explain a unified approach to a study of ballistic phase for a large family of self-interacting random walks with a drift and self-interacting polymers with an external stretching force. The approach is based on a recent version of the Ornstein-Zernike theory developed in earlier works. It leads to local limit results for various observables (e.g. displacement of the end-point or number of hits of a fixed finite pattern) on paths of n-step walks (polymers) on all possible deviation scales from CLT to LD. The class of models, which display ballistic phase in the "universality class" discussed in the paper, includes self-avoiding walks, Domb-Joyce model, random walks in an annealed random potential, reinforced polymers and weakly reinforced random walks.
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IOFFE, Dmitry, VELENIK, Yvan Alain. Ballistic phase of self-interacting random walks. In: Morters, P. et. al (Ed.). Analysis and Stochastics of Growth Processes and Interface Models. [s.l.] : Oxford University Press, 2008. p. 23. https://archive-ouverte.unige.ch/unige:6470

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Deposited on : 2010-05-04

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