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SUMMARY:Scaling constants and the lazy peeling of infinite Boltzmann plana
 r maps - Budd\, T (University of Copenhagen)
DTSTART:20150420T130000Z
DTEND:20150420T140000Z
UID:TALK58984@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Recently Curien and Le Gall derived precise scaling limits of 
 the volume and perimeter of the explored region during a ("simple") peelin
 g process of uniform infinite planar triangulations (UIPT) and quadrangula
 tions (UIPQ). We show that the same limits may be obtained for a slightly 
 modified "lazy" peeling process in the more general setting of infinite Bo
 ltzmann planar maps (IBPM) with arbitrary (regular critical) weight sequen
 ces. Combining the scaling constants involved with previous results by Mie
 rmont on graph distances in Boltzmann planar maps\, we show how one may ob
 tain (at least at a heuristic level) simple expressions for all constants 
 appearing in the relative scaling of the following quantities associated t
 o an IBPM: volume\, perimeter\, graph distance\, dual graph distance\, fir
 st-passage time\, and hop count. Finally we will comment on how one may re
 cover the simple peeling process from the lazy one.\n
LOCATION:Seminar Room 1\, Newton Institute
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