Uniqueness of invariant product measures for elliptic infinite dimensional diffusions and particle spin systems

Free access article

Issue		ESAIM: PS Volume 6, 2002


Page(s)		147 - 155
DOI		10.1051/ps:2002008

References

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H. Kunsch, Non reversible stationary measures for infinite interacting particle systems. Z. Wahrsch. Verw. Gebiete 66 (1984) 407-424.
T.M. Liggett, Interacting Particle Systems. Springer-Verlag, New York (1985).
T.S. Mountford, A Coupling of Infinite Particle Systems. J. Math. Kyoto Univ. 35 (1995) 43-52.
A.F. Ramírez, An elementary proof of the uniqueness of invariant product measures for some infinite dimensional diffusions. C. R. Acad. Sci. Paris Sér. I Math. (to appear).
A.F. Ramírez, Relative Entropy and Mixing Properties of Infinite Dimensional Diffusions. Probab. Theory Related Fields 110 (1998) 369-395.
A.F. Ramírez and S.R.S. Varadhan, Relative Entropy and Mixing Properties of Interacting Particle Systems. J. Math. Kyoto Univ. 36 (1996) 869-875.

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