The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited

Annales de l'institut Henri Poincare (B) Probability and Statistics

Volumn 38, Issue 4, 2002, Pages 385-436

  Cancrini, N ^a,b   Martinelli, F ^c   Roberto, C ^d  

^a UNIVERSITY OF L'AQUILA   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

^c ROMA TRE UNIVERSITY   (Italy)

^d INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

Concentration inequalities; Equivalence of ensembles; Kawasaki dynamics; Logarithmic; Sobolev constant

Indexed keywords

EID: 0036267903     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(01)01096-2     Document Type: Article

References (20)

1. A Goldstone mode in the Kawasaki-Ising model
2. Sur les inégalités de Sobolev logarithmiques
3. The spectral gap for a Glauber-type dynamics in a continuous gas
4. Renormalization-group transformations under strong mixing conditions: Gibbsianness and convergence of renormalized interactions
5. Coercive inequalities for Gibbs measures
6. Coercive inequalities for Kawasaki dynamics. The product case
7. Kawasaki dynamics at low temperature
8. Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields
9. Comparison of finite volume canonical and grand canonical Gibbs measures under a mixing condition
10. On the spectral gap of Kawasaki dynamics under a mixing condition revisited
11. Diffusive scaling of the spectral gap for the dilute Ising lattice gas under the percolation threshold
12. Logarithmic Sobolev inequality for finite Markov chains
13. Gibbs Measures and Phase Transitions
14. Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
15. Logarithmic Sobolev inequality for some models of random walks
16. Lectures on Glauber dynamics for discrete spin models
17. An example of application of discrete Hardy's inequalities
18. Diffusive limit of lattice gas with mixing conditions
19. Logarithmic Sobolev inequality for lattice gases with mixing conditions
20. Logarithmic Sobolev inequality for generalized simple exclusion processes