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Compact Brownian surfaces

Date: 
Monday 20th April 2015 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
Co-author: Jérémie 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.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons