On the Number of Points Skipped by a Transient (1,2) Random Walk on the Lattice of the Positive Half Line
H. Wang
2019, v.25, Issue 1, 125-148
ABSTRACT
Consider a transient near-critical (1,2) random walk on the lattice of the positive half line. We give a criterion for finiteness of the number of skipped points (the points which are never visited) by the random walk. This result generalizes (partially) the criterion for the finiteness of the number of cutpoints of the nearest-neighbor random walk on the lattice of the positive half line by E.~Cs\'aki, A.~F\"oldes and P.~R\'ev\'esz \cite{cfrb}.
%[{\it J.\ Theor.\ Probab.} 23(2): 624-638, 2010.
Keywords: random walk, skipped points, near-critical, tail of continued fractions
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