Relationships among transforms, convolutions, and first variations.
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International Journal of Mathematics and Mathematical Sciences
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Kim, Jeong Gyoo, Ko, Jung Won, Park, Chull, Skoug, David (1999)
International Journal of Mathematics and Mathematical Sciences
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V.Lj. Kocic (1980)
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We consider the coarse-graining of a lattice system with continuous spin variable. In the first part, two abstract results are established: sufficient conditions for a logarithmic Sobolev inequality with constants independent of the dimension (Theorem 3) and sufficient conditions for convergence to the hydrodynamic limit (Theorem 8). In the second part, we use the abstract results to treat a specific example, namely the Kawasaki dynamics with Ginzburg–Landau-type potential.
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International Journal of Mathematics and Mathematical Sciences
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Electronic Journal of Probability [electronic only]
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