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math.CO2026
From Kreweras walks to branching perimeter processes of percolated triangulations
Renan Gross, Emmanuel Kammerer, Frederik Ravn Klausen
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 t…
math.PR2026
Polynomial mixing for polygonal side matchings
Renan Gross, Anđela Šarković
We introduce a natural Markov chain on chord diagrams, which, at every step, selects two random chords and swaps them if doing so preserves the diagram's genus. This generalizes th…