Titlebook: Constructive Physics; Results in Field The Vincent Rivasseau Conference proceedings 1995 Springer-Verlag Berlin Heidelberg 1995 Cluster Exp

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Random and interacting surfaces,od here as the construction of convergent expansions for the free energy and correlation functions. These will take different forms depending on whether the interface is rigid, like in the three-dimesional Ising model at low temperature, or rough like in the capillary waves model. The corresponding

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https://doi.org/10.1007/3-540-59190-7Cluster Expansions; Fermi Liquids; Field Theory; Quantenfeldtheorie; Renormalization group; Renormierungs

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978-3-662-14061-1Springer-Verlag Berlin Heidelberg 1995

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Renormalizing partial differential equations,lustrate the method on several examples of nonlinear parabolic equations. We discuss many applications, including the stability of profiles and fronts in the Ginzburg-Landau equation, anomalous scaling laws in reaction-diffusion equations, and the shape of a solution near a blow-up point.

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Ultrasound Diagnostics of Neck Masses,This is a summary of some ideas and estimates that simplify the analysis of scaling limits of infinite volume limits of measures of the form ., where . is a Gaussian measure with long range correlations.