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On Markov measure-valued processes in a finite space

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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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References

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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).

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    A. V. Skorokhod, Lectures on the Theory of Random Processes [in Ukrainian], Lybid’, Kyiv (1990).

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    F. R. Gantmakher, Theory of Matrices [in Russian], Nauka, Moscow (1967).

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Author information

Correspondence to E. V. Ostapenko.

Additional information

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

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Keywords

  • Markov Chain
  • Ergodic Theorem
  • Initial Measure
  • Probability Characteristic
  • Tion Probability