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SUMMARY:Jérémie Bouttier: The two-point function of block-weighted quadr
 angulations (a challenge in analytic combinatorics)
DTSTART:20260402T090000Z
DTEND:20260402T100000Z
DTSTAMP:20260614T230100Z
UID:indico-event-16323@indico.math.cnrs.fr
DESCRIPTION:Speakers: Jérémie Bouttier (Sorbonne Université)\n\nModels 
 of block-weighted random planar maps have recently been introduced and stu
 died by Zéphyr Salvy and William Fleurat\, who showed that they display a
 n interesting phase transition\, which has been related to Liouville quant
 um duality by Bertrand Duplantier and Emmanuel Guitter. In this talk\, I w
 ill discuss a specific instance of such model\, namely that of quadrangula
 tions weighted according to their number of simple blocks. Building on res
 ults from a 2010 paper on the ``geometry of minbus''\, we obtain an exact 
 expression for the two-point function\, that is the generating function of
  block-weighted quadrangulations with two points at a controlled distance.
  A caveat is however that our result involves a bivariate generating funct
 ion\, which makes the asymptotic analysis harder. The Flajolet seminar is 
 certainly the best place to tell how we faced this challenge. Based on wor
 k under completion with Emmanuel Guitter and Hugo Manet.\n\nhttps://indico
 .math.cnrs.fr/event/16323/
LOCATION:Salle Pierre Grisvard (IHP - Bâtiment Borel)
URL:https://indico.math.cnrs.fr/event/16323/
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