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On the sphericity of scaling limits of random planar quadrangulations


 
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1. Title Title of document On the sphericity of scaling limits of random planar quadrangulations
 
2. Creator Author's name, affiliation, country Grégory Miermont; Fondation des Sciences Mathématiques de Paris
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random planar maps, scaling limits, Gromov-Hausdorff convergence, spherical topology
 
3. Subject Subject classification 60C05, 60F05, 60D05
 
4. Description Abstract We give a new proof of a theorem by Le Gall and Paulin, showing that scaling limits of random planar quadrangulations are homeomorphic to the 2-sphere. The main geometric tool is a reinforcement of the notion of Gromov-Hausdorff convergence, called 1-regular convergence, that preserves topological properties of metric surfaces.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Fondation des Sciences Mathématiques de Paris
 
7. Date (YYYY-MM-DD) 2008-05-04
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1368
 
10. Identifier Digital Object Identifier 10.1214/ECP.v13-1368
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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