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Problemy Peredachi Informatsii, 1976, Volume 12, Issue 3, Pages 78–84
(Mi ppi1701)
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Large Systems
Unstable Multicomponent Systems
A. L. Toom
Abstract:
Systems are considered that consist of an infinite number of interconnected finite probabilistic automata operating in discrete time. Systems are called ergodic if they “forget” their initial state in the limit with respect to time. A sufficient condition for ergodicity is given. Two examples are cited of families of systems that are ergodic for positive parameter values and possess the opposite property of zero values.
Received: 13.01.1975 Revised: 12.01.1976
Citation:
A. L. Toom, “Unstable Multicomponent Systems”, Probl. Peredachi Inf., 12:3 (1976), 78–84; Problems Inform. Transmission, 12:3 (1976), 220–225
Linking options:
https://www.mathnet.ru/eng/ppi1701 https://www.mathnet.ru/eng/ppi/v12/i3/p78
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Statistics & downloads: |
Abstract page: | 217 | Full-text PDF : | 75 |
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