Limit Theorems for Normalized Spectral Functions of Non-Selfadjoint Random Jacobi Matrices

V. L. Girko; V. V. Vasil’yev

doi:10.1137/1130001

Limit Theorems for Normalized Spectral Functions of Non-Selfadjoint Random Jacobi Matrices

Theory of Probability and Its Applications ◽

10.1137/1130001 ◽

1986 ◽

Vol 30 (1) ◽

pp. 1-8

Author(s):

V. L. Girko ◽

V. V. Vasil’yev

Keyword(s):

Limit Theorems ◽

Jacobi Matrices ◽

Spectral Functions ◽

Random Jacobi Matrices

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Canonical Equation K 54 for Normalized Spectral Functions of Nonself-Adjoint Random Jacobi Matrices

Theory of Stochastic Canonical Equations ◽

10.1007/978-94-010-0989-8_54 ◽

2001 ◽

pp. 774-801

Author(s):

Vyacheslav L. Girko

Keyword(s):

Canonical Equation ◽

Jacobi Matrices ◽

Spectral Functions ◽

Random Jacobi Matrices

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Strong law and canonical equation for normalized spectral functions of non self adjoint random Jacobi matrices

Random Operators and Stochastic Equations ◽

10.1515/rose.2000.8.1.87 ◽

2000 ◽

Vol 8 (1) ◽

Author(s):

V. L. GIRKO

Keyword(s):

Canonical Equation ◽

Jacobi Matrices ◽

Spectral Functions ◽

Strong Law ◽

Random Jacobi Matrices

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Limit Theorems for Determinants of Random Jacobi Matrices

Theory of Random Determinants ◽

10.1007/978-94-009-1858-0_12 ◽

1990 ◽

pp. 321-346

Author(s):

V. L. Girko

Keyword(s):

Limit Theorems ◽

Jacobi Matrices ◽

Random Jacobi Matrices

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Upper Bounds On Wavepacket Spreading For Random Jacobi Matrices

Communications in Mathematical Physics ◽

10.1007/s00220-007-0252-0 ◽

2007 ◽

Vol 273 (3) ◽

pp. 601-618 ◽

Cited By ~ 8

Author(s):

Svetlana Jitomirskaya ◽

Hermann Schulz-Baldes

Keyword(s):

Upper Bounds ◽

Jacobi Matrices ◽

Random Jacobi Matrices

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Singular-unbounded random Jacobi matrices

Journal of Mathematical Physics ◽

10.1063/1.5085027 ◽

2019 ◽

Vol 60 (8) ◽

pp. 081904

Author(s):

Nishant Rangamani

Keyword(s):

Jacobi Matrices ◽

Random Jacobi Matrices

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The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles

Electronic Communications in Probability ◽

10.1214/ecp.v20-4252 ◽

2015 ◽

Vol 20 (0) ◽

Cited By ~ 3

Author(s):

Khanh Trinh Duy ◽

Tomoyuki Shirai

Keyword(s):

Jacobi Matrices ◽

Spectral Measures ◽

The Mean ◽

Random Jacobi Matrices ◽

Beta Ensembles ◽

Gaussian Beta Ensembles

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Purely absolutely continuous spectrum for some random Jacobi matrices

Probability and Mathematical Physics - CRM Proceedings and Lecture Notes ◽

10.1090/crmp/042/14 ◽

2007 ◽

pp. 273-281 ◽

Cited By ~ 1

Author(s):

Uri Kaluzhny ◽

Yoram Last

Keyword(s):

Continuous Spectrum ◽

Jacobi Matrices ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

Random Jacobi Matrices

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Band Edge Behavior of the Integrated Density of States of Random Jacobi Matrices in Dimension 1

Journal of Statistical Physics ◽

10.1023/a:1023293423978 ◽

1998 ◽

Vol 90 (3-4) ◽

pp. 927-947 ◽

Cited By ~ 12

Author(s):

Frédéric Klopp

Keyword(s):

Density Of States ◽

Band Edge ◽

Jacobi Matrices ◽

Integrated Density Of States ◽

Edge Behavior ◽

Random Jacobi Matrices

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The Central Limit Theorem for the Spectrum of Random Jacobi Matrices

Theory of Probability and Its Applications ◽

10.1137/1125062 ◽

1981 ◽

Vol 25 (3) ◽

pp. 504-513 ◽

Cited By ~ 5

Author(s):

A. Ya. Reznikova

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Jacobi Matrices ◽

The Central Limit Theorem ◽

Random Jacobi Matrices

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General Limit Theorems for Spectral Functions of Random Matrices

Theory of Probability and Its Applications ◽

10.1137/1122016 ◽

1977 ◽

Vol 22 (1) ◽

pp. 156-160 ◽

Cited By ~ 4

Author(s):

V. L. Girko

Keyword(s):

Random Matrices ◽

Limit Theorems ◽

Spectral Functions ◽

General Limit

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