Spectral Properties of Random and Deterministic CMV Matrices

被引：1
|
作者：
Stoiciu, M. [1 ]
机构：
[1] Williams Coll, Dept Math & Stat, Williamstown, MA 01267 USA
来源：
MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2014年 / 9卷 / 05期
关键词：
spectral theory; distribution of eigenvalues; CMV matrices; TIGHT-BINDING MODEL; ANDERSON MODEL; ORTHOGONAL POLYNOMIALS; LARGE DISORDER; UNIT-CIRCLE; LOCALIZATION; ZEROS; DIFFUSION; DIMENSION; ABSENCE;
D O I：
10.1051/mmnp/20149518
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The CMV matrices are unitary analogues of the discrete one-dimensional Schrodinger operators. We review spectral properties of a few classes of CMV matrices and describe families of random and deterministic CMV matrices which exhibit a transition in the distribution of their eigenvalues.
引用
收藏
页码：270 / 281
页数：12
相关论文
共 50 条
  • [1] Spectral norm of products of random and deterministic matrices
    Vershynin, Roman
    PROBABILITY THEORY AND RELATED FIELDS, 2011, 150 (3-4) : 471 - 509
  • [2] Spectral norm of products of random and deterministic matrices
    Roman Vershynin
    Probability Theory and Related Fields, 2011, 150 : 471 - 509
  • [3] SPECTRAL PROPERTIES OF RANDOM TRIANGULAR MATRICES
    Basu, Riddhipratim
    Bose, Arup
    Ganguly, Shirshendu
    Hazra, Rajat Subhra
    RANDOM MATRICES-THEORY AND APPLICATIONS, 2012, 1 (03)
  • [4] Localization for random CMV matrices
    Zhu, Xiaowen
    JOURNAL OF APPROXIMATION THEORY, 2024, 298
  • [5] Spectral properties of polynomials in independent Wigner and deterministic matrices
    Belinschi, S. T.
    Capitaine, M.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 273 (12) : 3901 - 3963
  • [6] On spectral and numerical properties of random butterfly matrices
    Trogdon, Thomas
    APPLIED MATHEMATICS LETTERS, 2019, 95 : 48 - 58
  • [7] Multiplying unitary random matrices - universality and spectral properties
    Janik, RA
    Wieczorek, W
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (25): : 6521 - 6529
  • [8] Spectral properties of non-gaussian random matrices
    Vesely, Martin
    SPSM 2010: STOCHASTIC AND PHYSICAL MONITORING SYSTEMS, 2010, : 171 - 180
  • [9] Spectral Properties of Random Matrices for Stochastic Block Model
    Avrachenkov, Konstantin
    Cottatellucci, Laura
    Kadavankandy, Arun
    2015 13TH INTERNATIONAL SYMPOSIUM ON MODELING AND OPTIMIZATION IN MOBILE, AD HOC, AND WIRELESS NETWORKS (WIOPT), 2015, : 537 - 544
  • [10] AN INVERSE SPECTRAL THEORY FOR FINITE CMV MATRICES
    Golinskii, Leonid
    Kudryavtsev, Mikhail
    INVERSE PROBLEMS AND IMAGING, 2010, 4 (01) : 93 - 110
12345