Dai Pra, Paolo; Posta, Gustavo Logarithmic Sobolev inequality for zero-range dynamics: independence of the number of particles. (English) Zbl 1109.60080 Electron. J. Probab. 10, Paper No. 15, 525-576 (2005). Summary: 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. Cited in 6 Documents MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 82C22 Interacting particle systems in time-dependent statistical mechanics 60E15 Inequalities; stochastic orderings PDFBibTeX XMLCite \textit{P. Dai Pra} and \textit{G. Posta}, Electron. J. Probab. 10, Paper No. 15, 525--576 (2005; Zbl 1109.60080) Full Text: DOI arXiv EuDML