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

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On renormalization group flows and polymer algebras,of an infinite number of local partition functions. By the method of exact beta-function the RG equations are reduced to flow equations of a finite number of coupling constants. Generating functions of Greens functions are expressed by polymer activities. Polymer activities are useful for solving th

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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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Equivalence of the Euclidean and Wightman field theories,inverse Laplace transform of the tempered distribution is defined by means of the limit of the special distribution constructed from this distribution. The weak spectral condition on the Euclidean Green‘s functions requires that some of the limits needed for the inversion formula exist for any Eucli