Grégory Miermont, Mathilde Weill
Published 2007-06-22Version 1
We prove some asymptotic results for the radius and the profile of large random rooted planar maps with faces of arbitrary degrees. Using a bijection due to Bouttier, Di Francesco and Guitter between rooted planar maps and certain four-type trees with positive labels, we derive our results from a conditional limit theorem for four-type spatial Galton-Watson trees.
Comments: 25 pages, 2 figures
Simulations and a conditional limit theorem for intermediately subcritical branching processes in random environment
A growth-fragmentation connected to the ricocheted stable process
The peeling process on random planar maps coupled to an O(n) loop model (with an appendix by Linxiao Chen)
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