Universality of Critical Behaviour in a Class of Recurrent Random Walks

Abstract

Let X0 = 0, X1, X2, . . . be an aperiodic random walk generated by a sequence ξ1, ξ2, . . . of i.i.d. integer-valued random variables with common distribution p (·) having zero mean and finite variance. For an N-step trajectory X = (X0,X1, . . . , XN ) and a monotone convex function V : R → R with V (0) = 0, define V(X) = ∑N−1 j=1 V ( |Xj | ) . Further, let… (More)

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Cite this paper

@inproceedings{Hryniv2004UniversalityOC, title={Universality of Critical Behaviour in a Class of Recurrent Random Walks}, author={O V Hryniv and Yvan Velenik}, year={2004} }