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Recurrence of bipartite planar maps

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Recurrence of bipartite planar maps
2.	Creator	Author's name, affiliation, country	Jakob Erik Björnberg; Uppsala University
2.	Creator	Author's name, affiliation, country	Sigurdur Örn Stefánsson; Uppsala University
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Planar maps; local limits; simply generated trees; random walk
3.	Subject	Subject classification	05C80; 05C81; 05C05; 60J80; 60F05
4.	Description	Abstract	This paper concerns random bipartite planar maps which are defined by assigning weights to their faces. The paper presents a threefold contribution to the theory. Firstly, we prove the existence of the local limit for all choices of weights and describe it in terms of an infinite mobile. Secondly, we show that the local limit is in all cases almost surely recurrent.  And thirdly, we show that for certain choices of weights the local limit has exactly one face of infinite degree and has in that case spectral dimension 4/3 (the latter requires a mild moment condition).
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Knut and Alice Wallenberg Foundation
7.	Date	(YYYY-MM-DD)	2014-03-12
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/3102
10.	Identifier	Digital Object Identifier	10.1214/EJP.v19-3102
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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