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arXiv · 1204.5837

A Harris-Kesten theorem for confetti percolation

Christian Hirsch
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Abstract

Percolation properties of the dead leaves model, also known as confetti percolation, are considered. More precisely, we prove that the critical probability for confetti percolation with square-shaped leaves is 1/2. This result is related to a question of Benjamini and Schramm concerning disk-shaped leaves and can be seen as a variant of the Harris-Kesten theorem for bond percolation. The proof is based on techniques developed by Bollobás and Riordan to determine the critical probability for Voronoi and Johnson-Mehl percolation.

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Christian Hirsch. 2013-12-27. A Harris-Kesten theorem for confetti percolation. https://doi.org/10.1002/rsa.20563

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