Analyticity of the percolation density $theta$ in all dimensions
published by Christoforos Panagiotis
in 2020
and research's language is
English
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Abstract in English
We prove that for Bernoulli bond percolation on $mathbb{Z}^d$, $dgeq 2$ the percolation density is an analytic function of the parameter in the supercritical interval $(p_c,1]$. This answers a question of Kesten from 1981.