Denisov, D. Eh.; Foss, S. G. On transience conditions for Markov chains and random walks. (Russian, English) Zbl 1084.60532 Sib. Mat. Zh. 44, No. 1, 53-68 (2003); translation in Sib. Math. J. 44, No. 1, 44-57 (2003). This is a continuation of the authors’ article [Sib. Math. J. 42, No. 2, 364–371(2001); translation from Sib. Mat. Zh. 42, No. 2, 425–433 (2001; Zbl 1074.60505)]. A new transience criterion is proven for Markov chains on an arbitrary state space. This criterion gives nice sufficient conditions for transience of a random walk on the real line with infinite jump mean. Reviewer: D. A. Korshunov (Novosibirsk) MSC: 60J05 Discrete-time Markov processes on general state spaces 60G50 Sums of independent random variables; random walks Keywords:semi-martingale; Lyapunov function Citations:Zbl 1074.60505 PDFBibTeX XMLCite \textit{D. Eh. Denisov} and \textit{S. G. Foss}, Sib. Mat. Zh. 44, No. 1, 53--68 (2003; Zbl 1084.60532); translation in Sib. Math. J. 44, No. 1, 44--57 (2003) Full Text: EuDML EMIS