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A local limit theorem for the critical random graph


 
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1. Title Title of document A local limit theorem for the critical random graph
 
2. Creator Author's name, affiliation, country Remco W van der Hofstad; Technische Universiteit Eindhoven
 
2. Creator Author's name, affiliation, country Wouter Kager; VU University
 
2. Creator Author's name, affiliation, country Tobias Müller; Tel Aviv University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random graphs
 
3. Subject Subject classification 05C80
 
4. Description Abstract We consider the limit distribution of the orders of the $k$ largest components in the Erdos-Rényi random graph inside the "critical window" for arbitrary $k$. We prove a local limit theorem for this joint distribution and derive an exact expression for the joint probability density function.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Netherlands Organization for Scientific Research
 
7. Date (YYYY-MM-DD) 2009-02-19
 
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/1451
 
10. Identifier Digital Object Identifier 10.1214/ECP.v14-1451
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 14
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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