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SUMMARY:Geometry of large random planar maps with a prescribed degree sequ
 ence - Cyril Marzouk (Université Paris Saclay)
DTSTART:20180713T081000Z
DTEND:20180713T083000Z
UID:TALK107983@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will discuss some recent progress and still ongoing work abo
 ut the scaling limit of the following configuration-like model on random p
 lanar maps:  for every integer n\, we are given n deterministic (even) int
 egers and we sample a planar map uniformly at random  amongst those maps w
 ith n faces and these prescribed degrees. Under a `no macroscopic face&#39
 \; assumption\,  these maps converge in distribution after suitable scalin
 g towards the celebrated Brownian map\,  in the Gromov-Hausdorff-Prokhorov
  sense. This model covers that of p-angulations when all the integers are 
 equal to some p\,  which we can allow to vary with n\, without constraint\
 ; it also applies to so-called Boltzmann random maps and yields a CLT for 
 planar maps.  <br><br><br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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