@article{AIHPB_2002__38_4_385_0, author = {Cancrini, N. and Martinelli, F. and Roberto, C.}, title = {The logarithmic {Sobolev} constant of {Kawasaki} dynamics under a mixing condition revisited}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {385--436}, publisher = {Elsevier}, volume = {38}, number = {4}, year = {2002}, mrnumber = {1914934}, zbl = {01783420}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_2002__38_4_385_0/} }
TY - JOUR AU - Cancrini, N. AU - Martinelli, F. AU - Roberto, C. TI - The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2002 SP - 385 EP - 436 VL - 38 IS - 4 PB - Elsevier UR - http://archive.numdam.org/item/AIHPB_2002__38_4_385_0/ LA - en ID - AIHPB_2002__38_4_385_0 ER -
%0 Journal Article %A Cancrini, N. %A Martinelli, F. %A Roberto, C. %T The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited %J Annales de l'I.H.P. Probabilités et statistiques %D 2002 %P 385-436 %V 38 %N 4 %I Elsevier %U http://archive.numdam.org/item/AIHPB_2002__38_4_385_0/ %G en %F AIHPB_2002__38_4_385_0
Cancrini, N.; Martinelli, F.; Roberto, C. The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited. Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 4, pp. 385-436. http://archive.numdam.org/item/AIHPB_2002__38_4_385_0/
[1] A Goldstone mode in the Kawasaki-Ising model, J. Stat. Phys. 77 (1/2) (1994) 77-87. | Zbl
,[2] Sur les inégalités de Sobolev logarithmiques, Panoramas et Synthèses 10 (2001), S.M.F.
et al.,[3] Bertini L., Cancrini N., Cesi F., The spectral gap for a Glauber-type dynamics in a continuous gas, Preprint n. 00-249 on http://rene.ma.utexas.edu/mp_ arc.
[4] Renormalization-group transformations under strong mixing conditions: Gibbsianness and convergence of renormalized interactions, J. Stat. Phys. 97 (1999) 831-915. | MR | Zbl
, , ,[5] Coercive inequalities for Gibbs measures, J. Funct. Anal. 162 (1999) 257-289. | MR | Zbl
, ,[6] Coercive inequalities for Kawasaki dynamics. The product case, Markov Proc. Related Fields 5 (1999) 125-162. | MR | Zbl
, ,[7] Kawasaki dynamics at low temperature, J. Stat. Phys. 95 (1/2) (1999) 219-275. | MR | Zbl
, , ,[8] Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields, Probab. Theory Related Fields (2001), To appear. | MR | Zbl
,[9] Comparison of finite volume canonical and grand canonical Gibbs measures under a mixing condition, Markov Proc. Related Fields 6 (2000) 1-49. | MR | Zbl
, ,[10] On the spectral gap of Kawasaki dynamics under a mixing condition revisited, J. Math. Phys. 41 (2000) 1391-1423. | MR | Zbl
, ,[11] Diffusive scaling of the spectral gap for the dilute Ising lattice gas under the percolation threshold, Probab. Theory Related Fields (2001), To appear. | MR | Zbl
, ,[12] Logarithmic Sobolev inequality for finite Markov chains, Ann. Appl. Probab. 6 (3) (1996) 695-750. | MR | Zbl
, ,[13] Gibbs Measures and Phase Transitions, De Gruyter Series in Mathematics, 9, Walter de Gruyter, Berlin, 1988. | MR | Zbl
,[14] Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics, Comm. Math. Phys. 156 (1993) 399-433. | MR | Zbl
, ,[15] Logarithmic Sobolev inequality for some models of random walks, Ann. Probab. 26 (4) (1998) 1855-1873. | MR | Zbl
, ,[16] Lectures on Glauber dynamics for discrete spin models, Proceedings of the Saint Flour Summer School in Probability Theory, Lecture Notes in Math., 1717, 1997. | MR | Zbl
,[17] An example of application of discrete Hardy's inequalities, Markov Process. Related Fields 5 (1999) 319-330. | MR | Zbl
,[18] Diffusive limit of lattice gas with mixing conditions, Asian J. Math. 1 (4) (1997) 623-678. | MR | Zbl
, ,[19] Logarithmic Sobolev inequality for lattice gases with mixing conditions, Comm. Math. Phys. 181 (1996) 367-408. | MR | Zbl
,[20] Logarithmic Sobolev inequality for generalized simple exclusion processes, Probab. Theory Related Fields 109 (4) (1997) 507-538. | MR | Zbl
,