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Quantum Fields and Probability

Published 16 Nov 2016 in math.PR, math-ph, and math.MP | (1611.05240v1)

Abstract: I review some recent work where ideas and methods from Quantum Field Theory have proved useful in probability and vice versa. The topics discussed include the use of Renormalization Group theory in Stochastic Partial Differential Equations driven by space-time white noise and the use of the theory of Gaussian Multiplicative Chaos in the study of two dimensional Liouville Conformal Field theory.

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