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Logarithmic Sobolev Inequality for Zero--Range Dynamics: Independence of the Number of Particles

   
@article{EJP259,
	author = {Paolo Dai Pra and Gustavo Posta},
	title = {Logarithmic Sobolev Inequality for Zero--Range Dynamics: Independence of the Number of Particles},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	abstract = {We prove that the logarithmic-Sobolev constant for Zero-Range Processes in a box of diameter $L$ may depend on $L$ but not on the number of particles. This is a first, but relevant and quite technical step, in the proof that this logarithmic-Sobolev constant grows as the square of $L$, that is presented in a forthcoming paper.},
	pages = {no. 15, 525-576},
	issn = {1083-6489},
	doi = {10.1214/EJP.v10-259},    
        url = {http://ejp.ejpecp.org/article/view/259}}