Markus Heydenreich, Kilian Matzke
Published 2019-12-10Version 1
We expand the critical point for site percolation on the $d$-dimensional hypercubic lattice in terms of inverse powers of $2d$, and we obtain the first three terms rigorously. This is achieved using the lace expansion.
Gaussian deconvolution and the lace expansion
Gaussian deconvolution and the lace expansion for spread-out models
Approximation on slabs and uniqueness for inhomogeneous percolation with a plane of defects
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