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MR2859158 (2012g:60273) 60J80 (60K25 60K37)
Vatutin, V. A. Polling systems and multitype branching processes in a random environment with a final product. (Russian) Teor. Veroyatn. Primen. 55 (2010), no. 4, 644--679; translation in Theory Probab. Appl. 55 (2011), no. 4, 631–660
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