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Asymptotics of stationary measure under scaling in stochastic exchange processes

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Abstract

Asymptotic properties of an invariant distribution of exchange processes are studied on a two-dimensional lattice with fixed boundary conditions.

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References

  1. V. A. Malyshev and A. D. Manita, “Stochastic Micromodel of the Couette Flow,” Teor. Veroyatn. i Primenen. 53(4), 798 (2008) [Theory Probab. Appl. 53 (4), 716 (2008)].

    MathSciNet  Google Scholar 

  2. A. V. Bulinskii and A. N. Shiryaev, Theory of Random Processes (Fizmatlit, Moscow, 2004) [in Russian].

    Google Scholar 

  3. T. Liggett, Markov Processes with Local Interaction (Mir, Moscow, 1989) [Russian translation].

    MATH  Google Scholar 

  4. P. Billingsley, Convergence of Probability Measures (Wiley, 1968; Nauka, Moscow, 1977).

    MATH  Google Scholar 

  5. W. Whitt, “Weak Convergence of Probability Measures on the Function Space C[0, ∞),” Ann. Math. Statist. 41(3), 939 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  6. E. B. Dynkin and A. A. Yushkevich, Markov processes; Theorems and Problems (Nauka, Moscow, 1967) [in Russian].

    Google Scholar 

  7. A. D. Ventsel, Course on the Theory of Random Processes (Nauka, Moscow, 1975) [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    N. Yu. Odnobokov

Authors
  1. N. Yu. Odnobokov
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Additional information

Original Russian Text © N. Yu. Odnobokov, 2013, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2013, Vol. 68, No. 1, pp. 16–21.

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Odnobokov, N.Y. Asymptotics of stationary measure under scaling in stochastic exchange processes. Moscow Univ. Math. Bull. 68, 32–36 (2013). https://doi.org/10.3103/S0027132213010063

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  • DOI: https://doi.org/10.3103/S0027132213010063

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