A partial reversal of the Simon-Lieb inequality is shown for high-dimensional percolation, implying uniform boundedness of phi_pc(S) and several critical estimates.
A reduction of theθ(pc) = 0problem to a conjectured inequality.Preprint, 2024.https://arxiv.org/pdf/2401.12397
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On reversing the Simon-Lieb inequality in high-dimensional percolation
A partial reversal of the Simon-Lieb inequality is shown for high-dimensional percolation, implying uniform boundedness of phi_pc(S) and several critical estimates.