Ergodicity for an infinite particle system in Rd of jump type with hard core interaction

Hideki TANEMURA

doi:10.2969/jmsj/04140681

Ergodicity for an infinite particle system in R^d of jump type with hard core interaction

Hideki TANEMURA

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JOURNAL FREE ACCESS

1989 Volume 41 Issue 4 Pages 681-697

DOI https://doi.org/10.2969/jmsj/04140681

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Published: 1989 Received: November 30, 1987 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) H. O. Georgii, Canonical and Grand Canonical Gibbs States for continuum systems, Comm. Math. Phys., 48 (1976), 31-51.
2) H. O. Georgii, Canonical Gibbs Measures, Lecture Notes in Math., 760, Springer, 1979.
3) C. Kipnis and S. R. S. Varadhan, Central limit theorem for additive functional of reversible Markov processes and applications to simple exclusions, Comm. Math. Phys., 104 (1986), 1-9.
4) D. Klein, Dobrushin uniqueness technique and the decay of correlations in continuum statistical mechanics, Comm. Math. Phys., 86 (1982), 227-246.
5) T. M. Liggett, Existence theorems for infinite particle systems, Trans. Amer. Math. Soc., 165 (1972), 471-481.
6) T. M. Liggett, Interacting Particle Systems, Springer, 1985.
7) D. Ruelle, Statistical Mechanics, Benjamin, 1969.
8) H. Tanemura, Stochastic process for an infinite hard core particle system in R^d, Proc. Fifth Japan-USSR Symp. on Probability Theory, 1986, Lecture Notes in Math., 1299, Springer, 1988, pp. 502-510.

Right : [1] H. O. Georgii, Canonical and Grand Canonical Gibbs States for continuum systems, Comm. Math. Phys., 48 (1976), 31-51.
[2] H. O. Georgii, Canonical Gibbs Measures, Lecture Notes in Math., 760, Springer, 1979.
[3] C. Kipnis and S. R. S. Varadhan, Central limit theorem for additive functional of reversible Markov processes and applications to simple exclusions, Comm. Math. Phys., 104 (1986), 1-9.
[4] D. Klein, Dobrushin uniqueness technique and the decay of correlations in continuum statistical mechanics, Comm. Math. Phys., 86 (1982), 227-246.
[5] T. M. Liggett, Existence theorems for infinite particle systems, Trans. Amer. Math. Soc., 165 (1972), 471-481.
[6] T. M. Liggett, Interacting Particle Systems, Springer, 1985.
[7] D. Ruelle, Statistical Mechanics, Benjamin, 1969.
[8] H. Tanemura, Stochastic process for an infinite hard core particle system in R^d, Proc. Fifth Japan-USSR Symp. on Probability Theory, 1986, Lecture Notes in Math., 1299, Springer, 1988, pp. 502-510.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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