Gordon Slade

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20232026

most citedGaussian deconvolution and the lace expansion

7 citations · 13 across the 9 of their papers we have counts for

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Showing 2023 · math.PRShow all

2 papers · 2 filters

math.PR2023

Gaussian deconvolution and the lace expansion for spread-out models

Yucheng Liu, Gordon Slade

We present a new proof of $∣ x ∣^{- (d - 2)}$ decay of critical two-point functions for spread-out statistical mechanical models on $Z^{d}$ above the upper critical dimension, ba…

math.PR2023★ 7 cited

Gaussian deconvolution and the lace expansion

Yucheng Liu, Gordon Slade

We give conditions on a real-valued function $F$ on $Z^{d}$ , for $d > 2$ , which ensure that the solution $G$ to the convolution equation $(F * G) (x) = δ_{0, x}$ has Gaussian deca…