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.
On the intersection of critical percolation clusters and other tree-like random graphs.Preprint, 2024.https://arxiv.org/pdf/2411.19145
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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.