@article{AIHPB_2002__38_5_739_0, author = {Landim, C. and Panizo, G. and Yau, H. T.}, title = {Spectral gap and logarithmic {Sobolev} inequality for unbounded conservative spin systems}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {739--777}, publisher = {Elsevier}, volume = {38}, number = {5}, year = {2002}, mrnumber = {1931585}, zbl = {1022.60087}, language = {en}, url = {http://www.numdam.org/item/AIHPB_2002__38_5_739_0/} }
TY - JOUR AU - Landim, C. AU - Panizo, G. AU - Yau, H. T. TI - Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2002 SP - 739 EP - 777 VL - 38 IS - 5 PB - Elsevier UR - http://www.numdam.org/item/AIHPB_2002__38_5_739_0/ LA - en ID - AIHPB_2002__38_5_739_0 ER -
%0 Journal Article %A Landim, C. %A Panizo, G. %A Yau, H. T. %T Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems %J Annales de l'I.H.P. Probabilités et statistiques %D 2002 %P 739-777 %V 38 %N 5 %I Elsevier %U http://www.numdam.org/item/AIHPB_2002__38_5_739_0/ %G en %F AIHPB_2002__38_5_739_0
Landim, C.; Panizo, G.; Yau, H. T. Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems. Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 5, pp. 739-777. http://www.numdam.org/item/AIHPB_2002__38_5_739_0/
[1] Coercive inequalities for Kawasaki dynamics: The product case, Markov Proc. Related Fields 5 (1999) 125-162. | MR | Zbl
, ,[2] Coercive inequalities for Gibbs measures, J. Funct. Anal. 162 (1999) 257-289. | MR | Zbl
, ,[3] P. Caputo, A remark on spectral gap and logarithmic Sobolev inequalities for conservative spin systems, Preprint, 2001.
[4] Comparison of finite volume canonical and grand canonical Gibbs measures under a mixing condition, Markov Proc. Related Fields 6 (2000) 23-72. | MR | Zbl
, ,[5] On the spectral gap of Kawasaki dynamics under a mixing condition revisited, J. Math. Phys. 41 (2000) 1391-1423. | MR | Zbl
, ,[6] Heat Kernels and Spectral Theory, Cambridge University Press, 1989. | MR | Zbl
,[7] Large Deviations, Academic Press, Boston, 1989. | MR | Zbl
, ,[8] Rate of convergence to equilibrium of symmetric simple exclusion processes, Markov Proc. Related Fields 6 (2000) 73-88. | MR | Zbl
, , ,[9] Relaxation to equilibrium of conservative dynamics I: zero range processes, Ann. Probab. 27 (1999) 325-360. | MR | Zbl
, , , ,[10] Scaling Limit of Interacting Particle Systems, Grundlehren der mathematischen Wissenschaften, 320, Springer-Verlag, Berlin, 1999. | MR | Zbl
, ,[11] Decay to equilibrium in L∞ of finite interacting particle systems in infinite volume, Markov Proc. Related Fields 4 (1998) 517-534. | Zbl
,[12] Spectral gap for zero-range dynamics, Ann. Probab. 24 (1996) 1871-1902. | MR | Zbl
, , ,[13] M. Ledoux, Logarithmic Sobolev inequalities for unbounded spin systems revisited, Preprint, 2000.
[14] Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics, Comm. Math. Phys. 156 (1993) 433-499. | MR | Zbl
, ,[15] Logarithmic Sobolev inequality for generalized exclusion processes, Probab. Theory Related Fields (1997). | MR | Zbl
,[16] Logarithmic Sobolev inequality for lattice gases with mixing conditions, Comm. Math. Phys. 181 (1996) 367-408. | MR | Zbl
,