✦ LIBER ✦

The evolution of the theory of non-homogeneous Markov systems

✍ Scribed by Vassiliou, P.-C. G.

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 155 KB
Volume: 13
Category: Article
ISSN: 8755-0024
DOI: 10.1002/(sici)1099-0747(199709/12)13:3/4<159::aid-asm309>3.0.co;2-q

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✦ Synopsis

A review of the evolution of the theory of non-homogeneous Markov systems (NHMSs) is given. It starts with the definition of the stochastic process NHMS, discusses the variability of the process and provides as examples some real applications of the theory. Then, important novel ideas and basic theorems are presented on: (i) the asymptotic behaviour of NHMSs; (ii) control theory; (iii) cyclic behaviour; (iv) physics of populations: stability, entropy, energy; (v) non-homogeneous semi-Markov systems; (vi) the NHMS in a stochastic environment. 1998

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