Finite range decomposition of free fields
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I will introduce a class of models of self-interacting random
polymers and mention an approach to study it as a perturbation of a
generalization of a free field. I will then show a simple new method to
decompose free fields into sums of independent Gaussian fields with
spatially localized correlations. The method uses the finite propagation
speed of the wave equation and related properties of Chebyshev
polynomials discovered by Carne.
This talk is part of the Probability series.
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