A Renormalisation Group Approach to the Universality of Wigner’s Semicircle Law for Random Matrices with Dependent Entries
Author
Source
Advances in High Energy Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-31
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We show that if the non-Gaussian part of the cumulants of a random matrix model obeys some scaling bounds in the size of the matrix, then Wigner’s semicircle law holds.
This result is derived using the replica technique and an analogue of the renormalisation group equation for the replica effective action.
American Psychological Association (APA)
Krajewski, Thomas. 2017. A Renormalisation Group Approach to the Universality of Wigner’s Semicircle Law for Random Matrices with Dependent Entries. Advances in High Energy Physics،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1122047
Modern Language Association (MLA)
Krajewski, Thomas. A Renormalisation Group Approach to the Universality of Wigner’s Semicircle Law for Random Matrices with Dependent Entries. Advances in High Energy Physics No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1122047
American Medical Association (AMA)
Krajewski, Thomas. A Renormalisation Group Approach to the Universality of Wigner’s Semicircle Law for Random Matrices with Dependent Entries. Advances in High Energy Physics. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1122047
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1122047
