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The scaling limit of uniform random plane maps, via the Ambjørn–Budd bijection

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	The scaling limit of uniform random plane maps, via the Ambjørn–Budd bijection
2.	Creator	Author's name, affiliation, country	Jérémie L Bettinelli; Institut Élie Cartan de Lorraine; France
2.	Creator	Author's name, affiliation, country	Emmanuel Jacob; École Normale Supérieure de Lyon; France
2.	Creator	Author's name, affiliation, country	Grégory Miermont; École Normale Supérieure de Lyon
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	random maps; scaling limits; Brownian map; Gromov-Hausdorff topology; random metric spaces; bijections
3.	Subject	Subject classification	60F17; 60D05; 60C05
4.	Description	Abstract	We prove that a uniform rooted plane map with n edges converges in distribution after asuitable normalization to the Brownian map for the Gromov–Hausdorff topology. A recent bijection due to Ambjørn and Budd allows to derive this result by a direct coupling with a uniform random quadrangulation with n faces.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2014-08-19
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF (), PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/3213
10.	Identifier	Digital Object Identifier	10.1214/EJP.v19-3213
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 19
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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