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Strict monotonicity of weighted inhomogeneous percolation thresholds under covering maps

Liu, Jing et al.
arXiv (All) · Papers
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probability
We study Bernoulli bond percolation under weak covering maps for a class of weighted inhomogeneous product measures such that each edge $e$ carries a positive weight $w(e)$ and is open at intensity $λ\geq 0$ with probability $1-\exp(-λw(e))$. We prove a strict monotonicity of the weighted critical i
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