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Random stable maps : geometry and percolation

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RGMW06 - RGM follow up

Random stable maps are discrete random Boltzmann maps with large faces that are conjecturally linked to the CLE . We review some recent results on the geometry of such graphs and their duals, and on the behavior of Bernoulli percolations on these objects. The phenomenons that appear are the analogs of those we encoutered (or conjectured) for the Euclidean CLE . In particular, the critical bond percolation process creates a duality between the dense and dilute phase of random stable maps. The talk is based on joint works with Timothy Budd, Cyril Marzouk and Loïc Richier.

This talk is part of the Isaac Newton Institute Seminar Series series.

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