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Sub-ballisticity of self-repelling polymers in Z^d (1706.02184v1)
Published 7 Jun 2017 in math-ph and math.MP
Abstract: In this article, we prove sub-ballisticity for a class of self-repelling polymers inZd. Self-repelling polymers are a two-way generalization of the model of self-avoiding walks, for which the sub-ballisticity was proved by H. Duminil-Copin and A. Hammond. Namely, we consider an arbitrary finite symmetric distribution of steps and a more flexible penalization for self-intersections than in the self-avoiding walks model.
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