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Random Strict Partitions and Determinantal Point Processes


 
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1. Title Title of document Random Strict Partitions and Determinantal Point Processes
 
2. Creator Author's name, affiliation, country Leonid Petrov; Kharkevich Institute for Information Transmission Problems
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) random strict partitions; determinantal point process; Macdonald kernel
 
3. Subject Subject classification 60G55; 20C25
 
4. Description Abstract We present new examples of determinantal point processes with infinitely many particles. The particles live on the half-lattice $\{1,2,\dots\}$ or on the open half-line $(0,+\infty)$. The main result is the computation of the correlation kernels. They have integrable form and are expressed through the Euler gamma function (the lattice case) and the classical Whittaker functions (the continuous case). Our processes are obtained via a limit transition from a model of random strict partitions introduced by Borodin (1997) in connection with the problem of harmonic analysis for projective characters of the infinite symmetric group.
 
5. Publisher Organizing agency, location
 
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7. Date (YYYY-MM-DD) 2010-05-19
 
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/1542
 
10. Identifier Digital Object Identifier 10.1214/ECP.v15-1542
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 15
 
12. Language English=en
 
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