We consider stochastic flows with interaction in a finite phase space. The flows with variable generators generating evolutionary measure-valued processes are described. The influence of the interaction of particles on the entropy of the flow is analyzed.
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A. A. Dorogovtsev, “Stochastic flows with interaction and measure-valued processes,” Int. J. Math. Math. Statist., No. 63, 3963–3977 (2003).
A. V. Skorokhod, Lectures on the Theory of Random Processes [in Ukrainian], Lybid’, Kyiv (1990).
F. R. Gantmakher, Theory of Matrices [in Russian], Nauka, Moscow (1967).
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 11, pp. 1572–1577, November, 2008.
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Ostapenko, E.V. On Markov measure-valued processes in a finite space. Ukr Math J 60, 1845–1851 (2008). https://doi.org/10.1007/s11253-009-0174-4
- Markov Chain
- Ergodic Theorem
- Initial Measure
- Probability Characteristic
- Tion Probability