A Wegner estimate for Wigner matrices

Type: Other

Publication Date: 2011-01-01

Citations: 10

DOI: https://doi.org/10.1090/conm/552/10915

Abstract

In the first part of these notes, we review some of the recent developments in the study of the spectral properties of Wigner matrices. In the second part, we present a new proof of a Wegner estimate for the eigenvalues of a large class of Wigner matrices. The Wegner estimate gives an upper bound for the probability to find an eigenvalue in an interval $I$, proportional to the size $|I|$ of the interval.

Locations

  • Contemporary mathematics - American Mathematical Society - View
  • arXiv (Cornell University) - View - PDF

Similar Works

Action Title Year Authors
+ A Wegner estimate for Wigner matrices 2011 Anna Maltsev
Benjamin Schlein
+ Wigner-type matrices 2018 Arup Bose
+ PDF Chat SPECTRAL PROPERTIES OF WIGNER MATRICES 2011 Benjamin Schlein
+ Wigner matrices 2015 G茅rard Ben Arous
Alice Guionnet
+ Wigner functions 2019 Sibel Ba艧kal
Young S Kim
Marilyn E. Noz
+ Wigner functions 2023 D. K. Ferry
Xavier Oriols
Josef Weinbub
+ Wigner functions 2018 D. K. Ferry
Mihail Nedjalkov
+ A Generalization of Wigner's Theorem 2011 He Kan
Hou Jin-chuan
+ Bounds on integrals of the Wigner function 2004 J. G. Wood
+ PDF Chat Wegner Estimate and Level Repulsion for Wigner Random Matrices 2009 L谩szl贸 Erd艖s
Benjamin Schlein
Horng鈥怲zer Yau
+ Wegner estimate and level repulsion for Wigner random matrices 2008 L谩szl贸 Erd艖s
Benjamin Schlein
Horng鈥怲zer Yau
+ Wigner Distribution 2009 R. F. O鈥機onnell
+ A new proof of Wigner's theorem 2004 M谩t茅 Gy艖ry
+ Some remarks on the wigner distribution 1973 F. A. Berezin
+ The Wegner estimate and the integrated density of states for some random operators 2002 J. M. Combes
Peter D. Hislop
Fr茅d茅ric Klopp
Shu Nakamura
+ Wigner鈥檚 semicircle law for band random matrices 1993 Giulio Casati
Vyacheslav L. Girko
+ On a theorem of Wigner on products of positive matrices 1979 Raju Subramanian
K.V. Bhagwat
+ Wigner random matrices 2019 Alice Guionnet
+ PDF Chat Spectral Properties of Wigner Matrices 2015 Benjamin Schlein
+ A Generalization of Wigner鈥檚 Law 2006 Inna Zakharevich