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arXiv · 2607.28566

From Kreweras walks to branching perimeter processes of percolated triangulations

Renan Gross·Emmanuel Kammerer·Frederik Ravn Klausen
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Abstract

In this note, using a result of Bernardi, Holden and Sun, we give an explicit geometric relation between the perimeter of the peeling process along the percolation interface of a triangulation, and the corresponding Kreweras walk. The relation naturally extends to the branching peeling exploration. This sheds light on the relation between the growth-fragmentation process and correlated Brownian excursions discovered by Da Silva, Powell and Watson.

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Renan Gross, Emmanuel Kammerer, Frederik Ravn Klausen. 2026-07-30. From Kreweras walks to branching perimeter processes of percolated triangulations. https://arxiv.org/abs/2607.28566

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