2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99940We prove that the logarithmic Sobolev constant for zero-range processes in a box of diameter $L$ grows as $L^2$.Published at http://dx.doi.org/10.1214/009117905000000332 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)ProbabilityMathematical Physics60K35, 82C22 (Primary)Logarithmic Sobolev inequality for zero-range Dynamicstext