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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.

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