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

著者情報

ジャーナルフリー

1989 年 41 巻 4 号 p. 681-697

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

詳細

Published: 1989 Received: 1987/11/30 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: 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.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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