The boundary of random planar maps via looptrees

12 Jun 2018 Kortchemski Igor Richier Loïc

We study the scaling limits of looptrees associated with Bienaym\'e--Galton--Watson (BGW) trees, that are obtained by replacing every vertex of the tree by a "cycle" whose size is its degree. First, we consider BGW trees whose offspring distribution is critical and in the domain of attraction of a Gaussian distribution... (read more)

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