On the Simplicity of the Spectrum of the Lyapunov Characteristic Indices of a Product of Random Matrices

A. D. Virtser

doi:10.1137/1128007

On the Simplicity of the Spectrum of the Lyapunov Characteristic Indices of a Product of Random Matrices

Theory of Probability and Its Applications ◽

10.1137/1128007 ◽

1984 ◽

Vol 28 (1) ◽

pp. 122-135 ◽

Cited By ~ 8

Author(s):

A. D. Virtser

Keyword(s):

Random Matrices ◽

Product Of Random Matrices

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Cycle expansion for the Lyapunov exponent of a product of random matrices

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.165903 ◽

1992 ◽

Vol 2 (1) ◽

pp. 91-97 ◽

Cited By ~ 9

Author(s):

Ronnie Mainieri

Keyword(s):

Lyapunov Exponent ◽

Random Matrices ◽

Product Of Random Matrices

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Canonical Equation K 48 for Normalized Spectral Functions of a Product of Random Matrices

Theory of Stochastic Canonical Equations ◽

10.1007/978-94-010-0989-8_48 ◽

2001 ◽

pp. 678-681

Author(s):

Vyacheslav L. Girko

Keyword(s):

Random Matrices ◽

Canonical Equation ◽

Spectral Functions ◽

Product Of Random Matrices

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Lyapunov indices of a product of random matrices

Russian Mathematical Surveys ◽

10.1070/rm1989v044n05abeh002214 ◽

1989 ◽

Vol 44 (5) ◽

pp. 11-71 ◽

Cited By ~ 57

Author(s):

I Ya Gol'dsheid ◽

G A Margulis

Keyword(s):

Random Matrices ◽

Product Of Random Matrices

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Scaling law for the maximum Lyapunov characteristic exponent of infinite product of random matrices

Journal of Physics A General Physics ◽

10.1088/0305-4470/19/8/003 ◽

1986 ◽

Vol 19 (8) ◽

pp. L425-L428 ◽

Cited By ~ 27

Author(s):

G Parisi ◽

A Vulpiani

Keyword(s):

Random Matrices ◽

Infinite Product ◽

Scaling Law ◽

Characteristic Exponent ◽

Lyapunov Characteristic Exponent ◽

Product Of Random Matrices

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Fluctuations of the Product of Random Matrices and Generalized Lyapunov Exponent

Journal of Statistical Physics ◽

10.1007/s10955-020-02617-w ◽

2020 ◽

Vol 181 (3) ◽

pp. 990-1051 ◽

Cited By ~ 1

Author(s):

Christophe Texier

Keyword(s):

Lyapunov Exponent ◽

Random Matrices ◽

Product Of Random Matrices

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Central limit theorem and large deviations of the fading Wyner cellular model via product of random matrices theory

Problems of Information Transmission ◽

10.1134/s0032946009010025 ◽

2009 ◽

Vol 45 (1) ◽

pp. 5-22 ◽

Cited By ~ 6

Author(s):

N. Levy ◽

O. Zeitouni ◽

S. Shamai (Shitz)

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Large Deviations ◽

Random Matrices ◽

Central Limit ◽

Cellular Model ◽

Product Of Random Matrices

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On Limit Theorems for the Product of Random Matrices

Theory of Probability and Its Applications ◽

10.1137/1110002 ◽

1965 ◽

Vol 10 (1) ◽

pp. 15-27 ◽

Cited By ~ 61

Author(s):

V. N. Tutubalin

Keyword(s):

Random Matrices ◽

Limit Theorems ◽

Product Of Random Matrices

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On the cycle expansion for the Lyapunov exponent of a product of random matrices

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/40/29/008 ◽

2007 ◽

Vol 40 (29) ◽

pp. 8315-8328 ◽

Cited By ~ 12

Author(s):

Zai-Qiao Bai

Keyword(s):

Lyapunov Exponent ◽

Random Matrices ◽

Product Of Random Matrices

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Product of Random Matrices in a Microcanonical Ensemble

Physical Review Letters ◽

10.1103/physrevlett.62.695 ◽

1989 ◽

Vol 62 (7) ◽

pp. 695-699 ◽

Cited By ~ 39

Author(s):

J. M. Deutsch ◽

G. Paladin

Keyword(s):

Random Matrices ◽

Microcanonical Ensemble ◽

Product Of Random Matrices

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Zariski closure and the dimension of the Gaussian low of the product of random matrices. I

Probability Theory and Related Fields ◽

10.1007/bf01192073 ◽

1996 ◽

Vol 105 (1) ◽

pp. 109-142 ◽

Cited By ~ 13

Author(s):

I. Ya. Goldsheid ◽

Y. Guivarc'h

Keyword(s):

Random Matrices ◽

Zariski Closure ◽

Product Of Random Matrices

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