Relaxed criteria of the Dobrushin-Shlosman mixing condition

Journal of Statistical Physics - Tập 87 - Trang 293-309 - 1997
Nobuo Yoshida1
1Division of Mathematics, Graduate School of Science, Kyoto University, Kyoto, Japan;

Tóm tắt

An interacting particle system (Glauber dynamics) which evolves on a finite subset in thed-dimensional integer lattice is considered. It is known that a mixing property of the Gibbs state in the sense of Dobrushin and Shlosman is equivalent to several very strong estimates in terms of the Glauber dynamics. We show that similar, but seemingly much milder estimates are again equivalent to the Dobrushin-Shlosman mixing condition, hence to the original ones found by Stroock and Zegarlinski. This may be understood as the absence of intermediate speed of convergence to equilibrium.

Tài liệu tham khảo

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Thông tin xuất bản

Journal of Statistical Physics

Tập 87

293-309

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