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On the spectral properties of a class of H-selfadjoint random matrices and the underlying combinatorics


 
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1. Title Title of document On the spectral properties of a class of H-selfadjoint random matrices and the underlying combinatorics
 
2. Creator Author's name, affiliation, country Michal Wojtylak; Jagiellonian University; Poland
 
2. Creator Author's name, affiliation, country Patryk Pagacz; Jagiellonian University; Poland
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Wigner matrix; H-selfadjoint matrix; eigenvalue of nonpositive type; Catalan numbers
 
3. Subject Subject classification 15B52; 15B57; 05A19
 
4. Description Abstract An expansion of the Weyl function of a $H$-selfadjoint random matrix with one negative square is provided. It is shown that the coefficients converge to a certain generalization of Catlan numbers. Properties of this generalization are studied, in particular, a combinatorial interpretation is given.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Polish Ministry of Science and Higher Education, Iuventus Plus grant IP2011 061371
 
7. Date (YYYY-MM-DD) 2014-02-07
 
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/3066
 
10. Identifier Digital Object Identifier 10.1214/ECP.v19-3066
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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