Exact evaluation of <Tr S^p> is here performed for real symmetric matrices S of arbitrary order n, up to some integer p, where the matrix entries are independent identically distributed random variables, with an arbitrary probability distribution. These expectations are polynomials in the moments of the matrix entries; they provide useful information on the spectral density of the ensemble in the large n limit. They also are a straightforward tool to examine a variety of rescalings of the entries in the large n limit.
Real symmetric random matrices and path counting / Cicuta, Giovanni. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 72:(2005), pp. 026122-1-026122-10. [10.1103/PhysRevE.72.026122]
Real symmetric random matrices and path counting
CICUTA, Giovanni
2005-01-01
Abstract
Exact evaluation ofFile | Dimensione | Formato | |
---|---|---|---|
Abstract_PRE2005.doc
non disponibili
Tipologia:
Abstract
Licenza:
Creative commons
Dimensione
20 kB
Formato
Microsoft Word
|
20 kB | Microsoft Word | Visualizza/Apri Richiedi una copia |
PhysRevE.72.026122.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
137.92 kB
Formato
Adobe PDF
|
137.92 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11381/1444216