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One-dimensional random walk with unequal step lengths restricted by an absorbing barrier

Authors
Journal
Discrete Mathematics
0012-365X
Publisher
Elsevier
Publication Date
Volume
40
Identifiers
DOI: 10.1016/0012-365x(82)90116-9

Abstract

Abstract A one-dimensional random walk with unequal step lengths restricted by an absorbing barrier is considered as follows: (1) enumeration of the number of non-decreasing paths in a non-negative quadrant of the integral square lattice and in the inside of a polygon, (2) evaluation of transient (or absorption) probabilities for the random walk.

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