Publication : t17/130

The perimeter cascade in critical Boltzmann quadrangulations decorated by an O(n) loop model

Chen L. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Curien N. ()
Maillard P. ()
Abstract:
We study the branching tree of the perimeters of the nested loops in critical O(n) model for n∈(0,2) on random quadrangulations. We prove that after renormalization it converges towards an explicit continuous multiplicative cascade whose offspring distribution (x i ) i≥1 is related to the jumps of a spectrally positive α -stable L'evy process with α=32 ±1π arccos(n/2) and for which we can compute explicitly the transform
Année de publication : 2017
Preprint : arXiv:1702.06916
Langue : Anglais

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