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- W4226338281 abstract "We establish the mean-field bounds γ≥1, δ≥2 and △≥2 on the critical exponents of the Poisson-Boolean continuum percolation model under a moment condition on the radii; these were previously known only in the special case of fixed radii (in the case of γ), or not at all (in the case of δ and △). We deduce these as consequences of the mean-field bound β≤1, recently established under the same moment condition [8], using a relative entropy method introduced by the authors in previous work [7]." @default.
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- W4226338281 date "2023-01-01" @default.
- W4226338281 modified "2023-09-30" @default.
- W4226338281 title "Mean-field bounds for Poisson-Boolean percolation" @default.
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- W4226338281 doi "https://doi.org/10.1214/23-ejp923" @default.
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