Expansion for the critical point of site percolation: the first three terms

Markus Heydenreich; Kilian Matzke

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arXiv · 1912.04584

Expansion for the critical point of site percolation: the first three terms

Markus Heydenreich·Kilian Matzke

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Abstract

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.

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Markus Heydenreich, Kilian Matzke. 2019-12-10. Expansion for the critical point of site percolation: the first three terms. https://arxiv.org/abs/1912.04584

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