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Coercive inequalities for Kawasaki dynamics. The product case. (English) Zbl 0934.60096
Summary: We prove the generalized Nash and logarithmic Nash inequalities for a product measure with Dirichlet form associated to the Kawasaki dynamics.

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
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