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• W3100638628 abstract "This paper is the first application of the compensation approach (a well-established theory in probability theory) to counting problems. We discuss how this method can be applied to a general class of walks in the quarter plane + 2 with a step set that is a subset of [ {(-1,1),(-1,0),(-1,-1),(0,-1),(1,-1)}] in the interior of + 2 . We derive an explicit expression for the generating function which turns out to be non-holonomic, and which can be used to obtain exact and asymptotic expressions for the counting numbers." @default.
• W3100638628 created "2020-11-23" @default.
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• W3100638628 date "2013-01-11" @default.
• W3100638628 modified "2023-10-14" @default.
• W3100638628 title "The Compensation Approach for Walks With Small Steps in the Quarter Plane" @default.
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• W3100638628 doi "https://doi.org/10.1017/s0963548312000594" @default.
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