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Compact Brownian surfaces

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Random Geometry

Co-author: Jrmie Bettinelli (CNRS and IECN (Nancy))

We will show how to prove that rescaled uniform quandrangulations on oriented compact surface with a (possibly non-simple) boundary converge to random metric spaces with the same topology. This is done by performing suitable surgery operations on conditioned versions of the Brownian map.

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

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