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A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree


 
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1. Title Title of document A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree
 
2. Creator Author's name, affiliation, country Alex Iksanov; National Taras Shevchenko University of Kiev
 
2. Creator Author's name, affiliation, country Martin Möhle; University of Tuebingen
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) coupling; random recursive tree; random walk; stable limit
 
3. Subject Subject classification Primary: 60F05; 60G50; Secondary 05C05; 60E07
 
4. Description Abstract We present a short probabilistic proof of a weak convergence result for the number of cuts needed to isolate the root of a random recursive tree. The proof is based on a coupling related to a certain random walk.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2007-02-28
 
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/1253
 
10. Identifier Digital Object Identifier 10.1214/ECP.v12-1253
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 12
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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