Lyapunov exponent and variance in the CLT for products of random matrices related to random Fibonacci sequences

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020126 ◽

2020 ◽

Vol 25 (12) ◽

pp. 4779-4799

Author(s):

Rajeshwari Majumdar ◽

◽

Phanuel Mariano ◽

Hugo Panzo ◽

Lowen Peng ◽

...

Keyword(s):

Lyapunov Exponent ◽

Random Matrices ◽

Products Of Random Matrices ◽

Fibonacci Sequences

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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 ◽

Author(s):

R Lima ◽

M Rahibe

Keyword(s):

Lyapunov Exponent ◽

Random Matrices ◽

Infinite Products ◽

Products Of Random Matrices

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Asymptotic behaviour of products of random matrices

Probability Theory and Applications ◽

10.1515/9783112314227-101 ◽

1987 ◽

pp. 743-748

Keyword(s):

Asymptotic Behaviour ◽

Random Matrices ◽

Products Of Random Matrices

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Products of random matrices and derivatives on p.c.f. fractals

Journal of Functional Analysis ◽

10.1016/j.jfa.2007.12.001 ◽

2008 ◽

Vol 254 (5) ◽

pp. 1188-1216 ◽

Author(s):

Anders Pelander ◽

Alexander Teplyaev

Keyword(s):

Random Matrices ◽

Products Of Random Matrices

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Semigroups, Attractors, and Products of Random Matrices

Probability Measures on Groups X ◽

10.1007/978-1-4899-2364-6_23 ◽

1991 ◽

pp. 303-313 ◽

Author(s):

Arunava Mukherjea

Keyword(s):

Random Matrices ◽

Products 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 ◽

Author(s):

Ronnie Mainieri

Keyword(s):

Lyapunov Exponent ◽

Random Matrices ◽

Product Of Random Matrices

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Random Hill’s Equations, Random Walks, and Products of Random Matrices

Recent Trends in Dynamical Systems - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-0348-0451-6_17 ◽

2013 ◽

pp. 447-470

Author(s):

Fred C. Adams ◽

Anthony M. Bloch ◽

Jeffrey C. Lagarias

Keyword(s):

Random Walks ◽

Random Matrices ◽

Products Of Random Matrices ◽

Hill’S Equations

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Supersymmetry for Products of Random Matrices

Acta Physica Polonica B ◽

10.5506/aphyspolb.46.1709 ◽

2015 ◽

Vol 46 (9) ◽

pp. 1709 ◽

Author(s):

M. Kieburg

Keyword(s):

Random Matrices ◽

Products Of Random Matrices

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Conditional limit theorem for products of random matrices

Sbornik Mathematics ◽

10.1070/sm1995v186n03abeh000022 ◽

1995 ◽

Vol 186 (3) ◽

pp. 371-389 ◽

Author(s):

A V Letchikov

Keyword(s):

Limit Theorem ◽

Random Matrices ◽

Products Of Random Matrices ◽

Conditional Limit Theorem ◽

Conditional Limit

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Infinite products of random matrices and repeated interaction dynamics

Annales de l Institut Henri Poincaré Probabilités et Statistiques ◽

10.1214/09-aihp211 ◽

2010 ◽

Vol 46 (2) ◽

pp. 442-464 ◽

Author(s):

Laurent Bruneau ◽

Alain Joye ◽

Marco Merkli

Keyword(s):

Random Matrices ◽

Infinite Products ◽

Products Of Random Matrices ◽

Interaction Dynamics ◽

Repeated Interaction

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Some Results on Lyapunov Exponents for Products of Random Matrices

Springer Proceedings in Physics - Universalities in Condensed Matter ◽

10.1007/978-3-642-51005-2_43 ◽

1988 ◽

pp. 216-219

Author(s):

A. Vulpiani

Keyword(s):

Lyapunov Exponents ◽

Random Matrices ◽

Products Of Random Matrices

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