The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  • Ané, Cécile; Blachère, Sébastien; Chafaï, Djalil; Fougères, Pierre; Gentil, Ivan; Malrieu, Florent; Roberto, Cyril; Scheffer, Grégory. Sur les inégalités de Sobolev logarithmiques. (French) [Logarithmic Sobolev inequalities] With a preface by Dominique Bakry and Michel Ledoux. Panoramas et Synthèses [Panoramas and Syntheses], 10. Société Mathématique de France, Paris, 2000. xvi+217 pp. ISBN: 2-85629-105-8 MR1845806
  • 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 (2002), no. 4, 385--436. MR1914934
  • Dai Pra, Paolo; Posta, Gustavo. Logarithmic Sobolev inequality for zero-range dynamics. Ann. Probab. 33 (2005), no. 6, 2355--2401. MR2184099
  • Kipnis, Claude; Landim, Claudio. Scaling limits of interacting particle systems. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 320. Springer-Verlag, Berlin, 1999. xvi+442 pp. ISBN: 3-540-64913-1 MR1707314
  • Landim, C.; Sethuraman, S.; Varadhan, S. Spectral gap for zero-range dynamics. Ann. Probab. 24 (1996), no. 4, 1871--1902. MR1415232
  • Liggett, Thomas M. Interacting particle systems. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 276. Springer-Verlag, New York, 1985. xv+488 pp. ISBN: 0-387-96069-4 MR0776231
  • Lu, Sheng Lin; Yau, Horng-Tzer. Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics. Comm. Math. Phys. 156 (1993), no. 2, 399--433. MR1233852
  • Miclo, L. An example of application of discrete Hardy's inequalities. Markov Process. Related Fields 5 (1999), no. 3, 319--330. MR1710983
  • Posta, Gustavo. Spectral gap for an unrestricted Kawasaki type dynamics. ESAIM Probab. Statist. 1 (1995/97), 145--181 (electronic). MR1444246
Bookmark and Share


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.