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Random walks in a quarter plane with zero drifts: transience and recurrence
Published online by Cambridge University Press: 14 July 2016
Abstract
In this paper we continue the study of the classification problem for random walks in the quarter plane, with zero drifts in the interior of the domain. The necessary and sufficient conditions for these random walks to be ergodic were found earlier in [3]. Here we obtain necessary and sufficient conditions for transience by constructing suitable Lyapounov functions.
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- Copyright © Applied Probability Trust 1995
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