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Some infinite divisibility properties of the reciprocal of planar Brownian motion exit time from a cone


 
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1. Title Title of document Some infinite divisibility properties of the reciprocal of planar Brownian motion exit time from a cone
 
2. Creator Author's name, affiliation, country Stavros Vakeroudis; Université Pierre et Marie Curie and University of Manchester; France
 
2. Creator Author's name, affiliation, country Marc Yor; Université Pierre et Marie Curie and Institut Universitaire de France; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Bougerol's identity; infinite divisibility; Chebyshev polynomials; L\'{e}vy measure; Thorin measure; generalized Gamma convolution (GGC)
 
3. Subject Subject classification 60J65; 60E07
 
4. Description Abstract With the help of the Gauss-Laplace transform for the exit time from a cone of planar Brownian motion, we obtain some infinite divisibility properties for the reciprocal of this exit time.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2012-06-16
 
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/2090
 
10. Identifier Digital Object Identifier 10.1214/ECP.v17-2090
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 17
 
12. Language English=en en
 
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