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One-dimensional random walk with unequal step lengths restricted by an absorbing barrier |
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| Authors: | Thien Tran Cong |
| Institution: | Nippon Computer System Corporation, Sumitomo Nakanoshima Building, 10F, 3-2-18, Nakanoshima, Kita-ku, Osaka 530, Japan Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture, Sakai, Osaka 591, Japan |
| 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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