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This article continues work by Alsmeyer and Hoefs (Markov Process Relat. Fields 7 (2001) 325-348) on random walks (Sn)n[greater-or-equal, slanted]0 whose increments Xn are (m+1)-block factors of the form [phi](Yn-m,...,Yn) for i.i.d. random variables Y-m,Y-m+1,... taking values in an arbitrary...
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