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Random laminations and multitype branching processes


 
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1. Title Title of document Random laminations and multitype branching processes
 
2. Creator Author's name, affiliation, country Nicolas Curien; DMA Ens Paris
 
2. Creator Author's name, affiliation, country Yuval Peres; Microsoft Research Redmond
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random trees, random snake
 
3. Subject Subject classification 60C05, 60D05.
 
4. Description Abstract We consider multitype branching processes arising in the study of random laminations of the disk. We classify these processes according to their subcritical or supercritical behavior and provide Kolmogorov-type estimates in the critical case corresponding to the random recursive lamination process of [1]. The proofs use the infinite dimensional Perron-Frobenius theory and quasi-stationary distributions.
 
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7. Date (YYYY-MM-DD) 2011-08-19
 
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/1641
 
10. Identifier Digital Object Identifier 10.1214/ECP.v16-1641
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 16
 
12. Language English=en
 
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