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Local limit theorem for the particle number in spin lattice systems

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Literature Cited

  1. A. M. Khalfina, Mat. Sb.,80, 3 (1969).

    Google Scholar 

  2. R. A. Minlos and A. M. Khalfina, Izv. Akad. Nauk SSSR, Ser. Mat.,34, 1173 (1970).

    Google Scholar 

  3. G. Del Grosso, Commun. Math. Phys.,37, 141 (1974).

    Google Scholar 

  4. R. L. Dobrushin and B. Tirozzi, Commun. Math. Phys.,54, 173 (1977).

    Google Scholar 

  5. M. Campanino, G. Del Grosso, and B. Tirozzi, J. Math. Phys.,20, 1752 (1979).

    Google Scholar 

  6. D. Iagolnitzer and B. Souillard, Colloqia Mathematica Societatis Janos Bolyai, Vol. 27. Random Fields, Estergom, Hungary (1979).

  7. V. A. Arzumanyan, B. S. Nakhapetyan, and S. K. Pogosyan, Teor. Mat. Fiz.,67, 21 (1986).

    Google Scholar 

  8. K. R. Parthasarathy, Introduction to Probability and Measure, Delhi (1977).

  9. V. A. Arzumanyan, B. S. Nakhapetyan, and S. K. Pogosyan, Teor. Mat. Fiz.,81, 175 (1989).

    Google Scholar 

  10. N. S. Nahapetian, Limit Theorems and Some Applications in Statistical Physics, Teubner-Verlag, Leipzig (1990).

    Google Scholar 

  11. I. A. Ibragimov and Yu. V. Linnik, Independent and Stationarily Coupled Variables [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  12. R. L. Dobrushin and B. S. Nakhapetyan, Teor. Mat. Fiz.,20, 223 (1974).

    Google Scholar 

  13. R. L. Dobrushin and R. A. Minlos, Teor. Veroyatn. Ee Primen.,12, 595 (1967).

    Google Scholar 

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Authors
  1. V. A. Arzumanyan
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  2. B. S. Nakhapetyan
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  3. S. K. Pogosyan
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Additional information

Institute of Mathematics, Armenian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 89, No. 2, pp. 178–189, November, 1991

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Arzumanyan, V.A., Nakhapetyan, B.S. & Pogosyan, S.K. Local limit theorem for the particle number in spin lattice systems. Theor Math Phys 89, 1138–1146 (1991). https://doi.org/10.1007/BF01015905

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  • DOI: https://doi.org/10.1007/BF01015905

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