A general deconvolution theorem on R^d yields |x|^{-(d-2)} decay, and it is used to prove the critical two-point function of self-repellent Brownian motion is asymptotic to a constant times |x|^{-(d-2)}.
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Gaussian deconvolution on $\mathbb R^d$ with application to self-repellent Brownian motion
A general deconvolution theorem on R^d yields |x|^{-(d-2)} decay, and it is used to prove the critical two-point function of self-repellent Brownian motion is asymptotic to a constant times |x|^{-(d-2)}.