A characterization of strong percolation via disconnection
Hugo Duminil‐Copin,
Subhajit Goswami,
Pierre‐François Rodriguez
et al.
Abstract:We consider a percolation model, the vacant set of random interlacements on , , in the regime of parameters in which it is strongly percolative. By definition, such values of pinpoint a robust subset of the supercritical phase, with strong quantitative controls on large local clusters. In the present work, we give a new characterization of this regime in terms of a single property, monotone in , involving a disconnection estimate for . A key aspect is to exhibit a gluing property for large local clusters fr… Show more
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