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Mathematical foundations of the state lumping of large systems. Transl. from the Russ. and upd. by V. V. Zayats and Y. A. Atanov. (English) Zbl 0834.60001
Mathematics and its Applications (Dordrecht). 264. Dordrecht: Kluwer Academic Publishers. x, 278 p. (1993).
This book is a revised translation of the Russian original (1978; Zbl 0411.60003). There are no significant modifications to justify a new review.

MSC:
60-02 Research exposition (monographs, survey articles) pertaining to probability theory
60K10 Applications of renewal theory (reliability, demand theory, etc.)
60K15 Markov renewal processes, semi-Markov processes
60H25 Random operators and equations (aspects of stochastic analysis)
47D07 Markov semigroups and applications to diffusion processes
62N05 Reliability and life testing
60K25 Queueing theory (aspects of probability theory)
93E99 Stochastic systems and control
68Q45 Formal languages and automata
47D03 Groups and semigroups of linear operators
82B05 Classical equilibrium statistical mechanics (general)
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