An elementary approach to Gaussian multiplicative chaos
classification
🧮 math.PR
keywords
chaoselementarygaussianlimitingmeasuremultiplicativeapproachargument
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A completely elementary and self-contained proof of convergence of Gaussian multiplicative chaos is given. The argument shows further that the limiting random measure is nontrivial in the entire subcritical phase $(\gamma < \sqrt{2d})$ and that the limit is universal (i.e., the limiting measure is independent of the regularisation of the underlying field)
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