Operator limits of random matrices

被引:0
|
作者
Virag, Balint [1 ]
机构
[1] Univ Toronto, Dept Math, Toronto, ON, Canada
关键词
Random matrix; random operator; ASYMPTOTICS; EIGENVALUE; CONSTANT; MODELS;
D O I
暂无
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We present a brief introduction to the theory of operator limits of random matrices to non-experts. Several open problems and conjectures are given. Connections to statistics, integrable systems, orthogonal polynomials, and more, are discussed.
引用
收藏
页码:247 / 271
页数:25
相关论文
共 50 条
  • [21] Erratum to: The Ginibre Ensemble of Real Random Matrices and its Scaling Limits
    Alexei Borodin
    Mihail Poplavskyi
    Christopher D. Sinclair
    Roger Tribe
    Oleg Zaboronski
    Communications in Mathematical Physics, 2016, 346 : 1051 - 1055
  • [23] Operator matrices
    不详
    OPERATOR FUNCTIONS AND LOCALIZATION OF SPECTRA, 2003, 1830 : 199 - 213
  • [24] Limits on Sparse Support Recovery via Linear Sketching with Random Expander Matrices
    Scarlett, Jonathan
    Cevher, Volkan
    ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 51, 2016, 51 : 149 - 158
  • [25] A UNIFORM BOUND ON THE OPERATOR NORM OF SUB-GAUSSIAN RANDOM MATRICES AND ITS APPLICATIONS
    Franguridi, Grigory
    Moon, Hyungsik Roger
    ECONOMETRIC THEORY, 2022, 38 (06) : 1073 - 1091
  • [26] FACTORIZATIONS OF OPERATOR MATRICES
    HARRIS, LA
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1995, 225 : 37 - 41
  • [27] PROPERTIES OF OPERATOR MATRICES
    An, Il Ju
    Ko, Eungil
    Lee, Ji Eun
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (04) : 893 - 913
  • [28] Property (ω) for Operator Matrices
    TIAN Junhong
    CAO Xiaohong
    SUN Chenhui
    Wuhan University Journal of Natural Sciences, 2013, 18 (04) : 343 - 347
  • [29] On matrices with operator entries
    Cvetkovic, Ljiljana
    Takaci, Djurdjica
    NUMERICAL ALGORITHMS, 2006, 42 (3-4) : 335 - 344
  • [30] On matrices with operator entries
    Ljiljana Cvetković
    Djurdjica Takači
    Numerical Algorithms, 2006, 42 : 335 - 344