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References

  1. L. Bertini, N. Cancrini and F. Cesi. The spectral gap for a Glauber-type dynamic in a continuous gas. Ann. Inst. Henri Poincare Probab. Stat. 38(1)(2004), 91-108. Math Review 2003d:82073
  2. D. Chafai. Binomial-Poisson inequalities and M/M/°? queue, ESAIMS Probab. Stat. 10(2006), 317-339. Math Review 2007m:60134
  3. R. L. Dobrushin. The description of a random field by means of conditional probabilities and condition of its regularity. Theory Probab. Appl. 13(1968), 197-224. Math. Review number not available.
  4. R. L. Dobrushin. Prescribing a system of random variables by conditional distributions. Theory Probab. Appl. 15(1970), 458-486. Math. Review number not available.
  5. F. Q. Gao, A. Guillin and L. M. Wu. Berstein type's concentration inequalities for symmetric Markov processes. To appear in SIAM: Theory of Probability and its Applications 2011.
  6. F. Q. Gao, L. M. Wu. Transportation information inequalities for Gibbs measures. Preprint, 2007.
  7. A. Guillin, A. Joulin, C. LÈonard and L. M. Wu. Transportation-information inequalities for Markov processes (III): processes with jumps. Preprint, 2008.
  8. A. Guillin, C. LÈonard, L. M. Wu and N. Yao. Transportation-information inequalities for Markov processes.Probab. Theory Relat. Fields 144(2009), 669-695. Math review 2010k:60062
  9. A. Guillin, C. LÈonard, F.-Y. Wang and L. M. Wu. Transportation-information inequalities for Markov processes (II): relations with other functional inequalities. Available online at Arxiv 0902.2101
  10. A. Joulin. A new Poisson-type deviation inequality for Markov jump processes with positive Wasserstein curvature. Bernoulli. 15(2)(2009), 532--549. Math Review 2010j:60213
  11. A. Joulin and Y. Ollivier. Curvature, concentration, and error estimates for Markov chain Monte Carlo. Ann. Probab. 38(6)(2010), 2418-2442. Math Review 2002f:60109
  12. Yu. Kondratiev and E. Lytvynov. Glauber dynamics of continuous particle systems. Ann. Inst. Henri Poincare Probab. Stat. 41(2005), 685-702. Math Review 2006e:60143
  13. W. Liu and Y.T. Ma. Spectral gap and convex concentration inequalities for birth-death processes. Ann. Inst. Henri Poincare Probab. Stat. 45(1)(2009), 58--69. Math Review 2010d:60042
  14. Y. T. Ma, S. Shen, X. Y. Wang and L. M. Wu. Transportation inequalities: from Poisson to Gibbs measures. Bernoulli 17(1) (2011), 155-169. MR2797986
  15. Y. Ollivier. Ricci curvature of Markov chains on metric spaces. J. Funct. Anal. 256(3)(2009), 810--864. Math Review 2010j:58081
  16. J. Picard. Formules de dualite sur l'espace de Poisson. Ann. Inst. Henri Poincare Probab. Stat. 32(4)(1996), 509--548. Math Review 98c:60055
  17. C. Preston. Spatial birth-and-death processes, in: Proceedings of the 40th Session of the International Statistical Institute (Warsaw), 2, in Bull. Inst. Internat. Statist. 46(1975), 371-391. Math Review 57 #14170
  18. D. Ruelle, Statistical Mechanics: Rigorous Results 1969, Benjamin.
  19. L. M. Wu. A new modified logarithmic Sobolev inequality for Poisson processes and several applications. Probab. Theory Relat. Fields 118(2000), 427-438. Math Review 2002f:60109
  20. L. M. Wu. Estimate of the spectral gap for continuous gas. Ann. Inst. Henri PoincarÈ Probab. Stat.40(2004), 387-409. Math Review 2005e: 82007
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