Abstract:Année de publication : 2017
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
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