Derives sharp condition for positive subcritical annulus-crossing intensity in general continuum percolation by linking crossings to long-edge occurrence, with multiscale argument showing decay rates.
Percolation phase transition in weight-dependent random connection models
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Subcritical annulus crossing in spatial random graphs
Derives sharp condition for positive subcritical annulus-crossing intensity in general continuum percolation by linking crossings to long-edge occurrence, with multiscale argument showing decay rates.