Bertini, L.; Zegarlinski, B. Coercive inequalities for Kawasaki dynamics. The product case. (English) Zbl 0934.60096 Markov Process. Relat. Fields 5, No. 2, 125-162 (1999). Summary: We prove the generalized Nash and logarithmic Nash inequalities for a product measure with Dirichlet form associated to the Kawasaki dynamics. Cited in 16 Documents MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 46N55 Applications of functional analysis in statistical physics 82C22 Interacting particle systems in time-dependent statistical mechanics 82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics Keywords:generalized Nash inequalities; logarithmic Nash inequalities; Bernoulli measures; Kawasaki dynamics PDF BibTeX XML Cite \textit{L. Bertini} and \textit{B. Zegarlinski}, Markov Process. Relat. Fields 5, No. 2, 125--162 (1999; Zbl 0934.60096)