The equivalence of the logarithmic Sobolev inequality and the Dobrushin-Shlosman mixing condition

Author:

Stroock Daniel W.,Zegarlinski Boguslaw

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference14 articles.

1. [A&H] Aizenman, M., Holley, R.: Rapid convergence to equilibrium of stochastic Ising Models in the Dobrushin Shlosman régime, Percolation Theory and Ergodic Theory of Infinite Particle Systems, H. Kesten, (ed.), IMS Volumes in Math. and Appl. vol.8, pp. 1–11. Berlin, Heidelberg, New York: Springer 1987

2. [D] Dobrushin, R.: Markov processes with a large number of locally interacting components-Existence of the limiting process and its ergodicity. Probl. Peredaci Inform.7, 70–87 (1971)

3. [D&S] Deuschel, J.-D., Stroock, D.: Large Deviations, Pure and Appl. Math. Series, vol.137. Boston: Academic Press 1989

4. [Dob&S,1] Dobrushin, R.L., Shlosman, S.B.: Constructive criterion for the uniqueness of Gibbs field, Statistical Physics and Dynamical Systems, Rigorous Results, pp. 347–370. Fritz, Jaffe, and Szasz (eds.). Basel-Boston: Birkhauser 1985

5. [Dob&S,2] —: Completely analytical Gibbs fields. Statistical Physics and Dynamical Systems, Rigorous Results, pp. 371–403. Fritz, Jaffe, and Szasz, (eds.), Basel-Boston: Birkhäuser 1985

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