Hiroshima Mathematical Journal

Construction of one-dimensional classical dynamical system of infinitely many particles with nearest neighbor interaction

Hirotake Yaguchi

Full-text: Open access

Article information

Source
Hiroshima Math. J., Volume 11, Number 2 (1981), 255-273.

Dates
First available in Project Euclid: 21 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1206134100

Digital Object Identifier
doi:10.32917/hmj/1206134100

Mathematical Reviews number (MathSciNet)
MR620537

Zentralblatt MATH identifier
0473.70015

Subjects
Primary: 82A05
Secondary: 34C35 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]

Citation

Yaguchi, Hirotake. Construction of one-dimensional classical dynamical system of infinitely many particles with nearest neighbor interaction. Hiroshima Math. J. 11 (1981), no. 2, 255--273. doi:10.32917/hmj/1206134100. https://projecteuclid.org/euclid.hmj/1206134100


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References

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  • [2] J. Fritz and R. L. Dobrushin, Non-equilibrium dynamics of two-dimensional infinite particle systems with a singular interaction, Comm. Math. Phys., 57 (1977), 67-81.
  • [3] R. A. Holley and D. W. Stroock, Nearest neighbor birth and death processes on the real line, Acta Math., 140 (1978), 103-154.
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  • [5] O. E. Lanford III, Time evolution of large classical systems, Lecture Notes in Phys., No. 38, 1-111, Springer-Verlag, Berlin-HeiderbergNew York, 1974.
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