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Simple peeling of planar maps with application to site percolation · Around

2019

Simple peeling of planar maps with application to site percolation

Budd, Timothy, Curien, Nicolas

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The peeling process, which describes a step-by-step exploration of a planar map, has been instrumental in addressing percolation problems on random infinite planar maps.

Bond and face percolation on maps with faces of arbitrary degree are conveniently studied via so-called lazy-peeling explorations.
During such explorations distinct vertices on the exploration contour may at later stage be identified, making the process less suited to the study of site percolation.
To tackle this situation and to explicitly identify site-percolation thresholds, we come back to the alternative "simple" peeling exploration of Angel and uncover deep relations with the lazy-peeling process.

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