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On a class of H-selfadjont random matrices with one eigenvalue of nonpositive type
Journal
Electronic Communications in Probability
Author
Wojtylak Michał
Volume
17
Article ID
45
eISSN
1083-589X
Language
English
Journal language
English
Abstract in English
Large H-selfadjoint random matrices are considered. The matrix H is assumed to have one negative eigenvalue, hence the matrix in question has precisely one eigenvalue of nonpositive type. It is showed that this eigenvalue converges in probability to a deterministic limit. The weak limit of distribution of the real eigenvalues is investigated as well.
Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
5
| dc.abstract.en | Large H-selfadjoint random matrices are considered. The matrix H is assumed to have one negative eigenvalue, hence the matrix in question has precisely one eigenvalue of nonpositive type. It is showed that this eigenvalue converges in probability to a deterministic limit. The weak limit of distribution of the real eigenvalues is investigated as well. | pl |
| dc.affiliation | Wydział Matematyki i Informatyki : Instytut Matematyki | pl |
| dc.contributor.author | Wojtylak, Michał - 147997 | pl |
| dc.date.accessioned | 2014-08-19T06:37:32Z | |
| dc.date.available | 2014-08-19T06:37:32Z | |
| dc.date.issued | 2012 | pl |
| dc.description.volume | 17 | pl |
| dc.identifier.articleid | 45 | pl |
| dc.identifier.doi | 10.1214/ECP.v17-2148 | pl |
| dc.identifier.eissn | 1083-589X | pl |
| dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/537 | |
| dc.language | eng | pl |
| dc.language.container | eng | pl |
| dc.rights.licence | Bez licencji otwartego dostępu | |
| dc.subject | random matrix | en |
| dc.subject | wigner matrix | en |
| dc.subject | eigenvalue | en |
| dc.subject | limit distribution of eigenvalues | en |
| dc.subtype | Article | pl |
| dc.title | On a class of H-selfadjont random matrices with one eigenvalue of nonpositive type | pl |
| dc.title.journal | Electronic Communications in Probability | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |
dc.abstract.enpl
Large H-selfadjoint random matrices are considered. The matrix H is assumed to
have one negative eigenvalue, hence the matrix in question has precisely one eigenvalue
of nonpositive type. It is showed that this eigenvalue converges in probability
to a deterministic limit. The weak limit of distribution of the real eigenvalues is investigated as well. dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki dc.contributor.authorpl
Wojtylak, Michał - 147997 dc.date.accessioned
2014-08-19T06:37:32Z dc.date.available
2014-08-19T06:37:32Z dc.date.issuedpl
2012 dc.description.volumepl
17 dc.identifier.articleidpl
45 dc.identifier.doipl
10.1214/ECP.v17-2148 dc.identifier.eissnpl
1083-589X dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/537 dc.languagepl
eng dc.language.containerpl
eng dc.rights.licence
Bez licencji otwartego dostępu dc.subjecten
random matrix dc.subjecten
wigner matrix dc.subjecten
eigenvalue dc.subjecten
limit distribution of eigenvalues dc.subtypepl
Article dc.titlepl
On a class of H-selfadjont random matrices with one eigenvalue of nonpositive type dc.title.journalpl
Electronic Communications in Probability dc.typepl
JournalArticle dspace.entity.type
Publication Affiliations
Wydział Matematyki i Informatyki
Wojtylak, Michał
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