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Quasi-nearest particle systems

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References

  1. Spitzer, F., Stochastic time evolution of one dimensional infinite particle systems,Bull. Amer. Math. Soc.,83 (1977), 880–890.

    Article  MATH  MathSciNet  Google Scholar 

  2. Griffeath, D. and Liggett, T.M., Critical phenomena for Spitzer's rebersible nearest particle systems,Ann. Probability,10 (1982), 881–895.

    MATH  MathSciNet  Google Scholar 

  3. Liggett, T.M., The stochastic evolution of infinite systems of interacting particles,Lect. Notes in Math.,598 (1977), 188–248.

    MathSciNet  Google Scholar 

  4. Liggett, T.M., Attractive nearest particle systems,Ann. Probability,11 (1983), 16–33.

    MATH  MathSciNet  Google Scholar 

  5. Liggett, T.M., Two critical exponents for finite reversible nearest particle systems,Ann. Probability,11 (1983), 714–725.

    MATH  MathSciNet  Google Scholar 

  6. Gray, L., Controlled spin-flip systems,Ann. Probability,6 (1978) 953–974.

    MATH  Google Scholar 

  7. Liu Xijian, A class of birth and death systems on Z., (1984), (to appear).

  8. Dai Yonglong, Gibbs states and reverse random field.KEXUE TONGBAO 29 (1984) 1288–1291.

    MATH  Google Scholar 

  9. Tang Shouzheng. Reversibility of spin-flip processes,Acta. Math. Sinica,25 (1982) 306–314.

    MathSciNet  Google Scholar 

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Research supported in part by the Foundation of Zhongshan University Advanced Research Centre.

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Yonglong, D., Xijian, L. Quasi-nearest particle systems. Acta Mathematica Sinica 2, 92–104 (1986). https://doi.org/10.1007/BF02568527

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  • DOI: https://doi.org/10.1007/BF02568527

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