Hua-Ming Wang
Published 2017-07-20Version 1
Consider a transient near-critical (1,2) random walk on the positive half line. We give a criteria for the finiteness of the number of the skipped points (the points never visited) by the random walk. This result generalizes (partially) the criteria for the finiteness of the number of cutpoingts of the nearest neighbor random walk on the line by Cs\'aki, F\"olders, R\'ev\'esz [J Theor Probab (2010) 23: 624-638].
Local time of transient random walk on the lattice of positive half line
Cutpoints of (1,2) and (2,1) random walks on the lattice of positive half line
On a maximum of nearest-neighbor random walk with asymptotically zero drift on lattice of positive half line
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