---
res:
bibo_abstract:
- "We consider a Wigner-type ensemble, i.e. large hermitian N×N random matrices
H=H∗ with centered independent entries and with a general matrix of variances
Sxy=\U0001D53C∣∣Hxy∣∣2. The norm of H is asymptotically given by the maximum of
the support of the self-consistent density of states. We establish a bound on
this maximum in terms of norms of powers of S that substantially improves the
earlier bound 2∥S∥1/2∞ given in [O. Ajanki, L. Erdős and T. Krüger, Universality
for general Wigner-type matrices, Prob. Theor. Rel. Fields169 (2017) 667–727].
The key element of the proof is an effective Markov chain approximation for the
contributions of the weighted Dyck paths appearing in the iterative solution of
the corresponding Dyson equation.@eng"
bibo_authorlist:
- foaf_Person:
foaf_givenName: László
foaf_name: Erdös, László
foaf_surname: Erdös
foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0001-5366-9603
- foaf_Person:
foaf_givenName: Peter
foaf_name: Mühlbacher, Peter
foaf_surname: Mühlbacher
bibo_doi: 10.1142/s2010326319500096
dct_date: 2018^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/2010-3263
- http://id.crossref.org/issn/2010-3271
dct_language: eng
dct_publisher: World Scientific Publishing@
dct_title: Bounds on the norm of Wigner-type random matrices@
...