LSI for Kawasaki Dynamics with Weak Interaction

Author:

Menz Georg

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference33 articles.

1. Bakry, D., Émery, M.: Diffusions hypercontractives. Sem. Probab. XIX, Lecture Notes in Math, 1123. Berlin-Heidelberg-New York: Springer-Verlag, 1985, pp. 177–206

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3. Bodineau, T., Helffer, B.: Correlations, spectral gap and log-Sobolev inequalities for unbounded spins systems. In: Differential equations and mathematical physics (Birmingham, AL, 1999), Volume 16 of AMS/IP Stud. Adv. Math., Providence, RI: Amer. Math. Soc., 2000, pp. 51–66

4. Cancrini N., Martinelli F., Roberto C.: The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited. Ann. Inst. H. Poincaré Probab. Statist. 38(4), 385–436 (2002)

5. Caputo P.: Uniform Poincaré inequalities for unbounded conservative spin systems: the non-interacting case. Stochastic Process. Appl. 106(2), 223–244 (2003)

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