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Letter to editors. (English) Zbl 1303.90028
Summary: This letter is to let you know that we found serious errors in the paper [F. Guillemin et al., ibid. 74, No. 2–3, 235–272 (2013; Zbl 1266.90074)]. As we explain in the forthcoming sections, the fundamental error originates in [F. Guillemin and A. Simonian, “Asymptotic analysis of random walks in the quarter plane” (submitted)]. For the same reasons, it appears that the main results of [F. Guillemin and J. S. H. van Leeuwaarden, ibid. 67, No. 1, 1–32 (2011; Zbl 1210.60100), Section 4, Proposition 3] are also false.

MSC:
90B22 Queues and service in operations research
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[1] Guillemin, F; Knessl, C; Leeuwaarden, JSH, Wireless 3-hop networks with stealing II: exact solutions through boundary value problems, Queueing Syst., 74, 235-272, (2013) · Zbl 1266.90074
[2] Guillemin, F., Simonian, A.: Asymptotic analysis of random walks in the quarter plane. (2011). (Submitted for publication)
[3] Guillemin, F; Leeuwaarden, J, Rare event asymptotics for a random walk in the quarter plane, Queueing Syst., 67, 1-32, (2011) · Zbl 1210.60100
[4] Guillemin, F; Simonian, A; Skogseid, A (ed.); Fasano, V (ed.), Asymptotics for random walks in the quarter plane with queueing applications, (2011), New York
[5] Fayolle, G., Iasnogorodski, R., Malyshev, V.: Random Walks in the Quarter Plane. Springer, New York (1999) · Zbl 0932.60002
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