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

Ronnie Mainieri

doi:10.1063/1.165903

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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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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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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Zeta function for the Lyapunov exponent of a product of random matrices

Physical Review Letters ◽

10.1103/physrevlett.68.1965 ◽

1992 ◽

Vol 68 (13) ◽

pp. 1965-1968 ◽

Cited By ~ 21

Author(s):

Ronnie Mainieri

Keyword(s):

Lyapunov Exponent ◽

Zeta Function ◽

Random Matrices ◽

Product Of Random Matrices

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Power law scaling of the top Lyapunov exponent of a Product of Random Matrices

Journal of Statistical Physics ◽

10.1007/bf01023493 ◽

1989 ◽

Vol 54 (1-2) ◽

pp. 531-537 ◽

Cited By ~ 4

Author(s):

K. Ravishankar

Keyword(s):

Lyapunov Exponent ◽

Random Matrices ◽

Power Law ◽

Product Of Random Matrices

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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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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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Exact Lyapunov exponent for infinite products of random matrices

Journal of Physics A General Physics ◽

10.1088/0305-4470/27/10/019 ◽

1994 ◽

Vol 27 (10) ◽

pp. 3427-3437 ◽

Cited By ~ 27

Author(s):

R Lima ◽

M Rahibe

Keyword(s):

Lyapunov Exponent ◽

Random Matrices ◽

Infinite Products ◽

Products Of Random Matrices

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Generalized Lyapunov exponent of random matrices and universality classes for SPS in 1D Anderson localisation

EPL (Europhysics Letters) ◽

10.1209/0295-5075/131/17002 ◽

2020 ◽

Vol 131 (1) ◽

pp. 17002 ◽

Cited By ~ 2

Author(s):

Christophe Texier

Keyword(s):

Lyapunov Exponent ◽

Random Matrices ◽

Anderson Localisation ◽

Universality Classes

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