The scaling limit of random outerplanar maps

<p style="text-align:justify;"> A planar map is outerplanar if all its vertices belong to the same face. We show that random uniform outerplanar maps with n vertices suitably rescaled by a factor 1/n−−√ converge in the Gromov–Hausdorff sense to 72–√/9 times Aldous’ Brownian tree. Th...

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Bibliographic Details
Main Author: Caraceni, A
Format: Journal article
Published: Institute Henri Poincaré 2016