In this article we study the Lyapunov exponent for random matrix products of positive matrices and express them in terms of associated complex functions. This leads to new explicit formulae for the Lyapunov exponents and to an efficient method for their computation.
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Nicolaus Copernicus Univ, Fac Math & Comp Sci, Ul Chopina 12-18, PL-87100 Torun, PolandUniv Costa Rica, Ctr Invest Matemat Pura & Aplicada Escuela Matemat, San Jose, Costa Rica
Bezerra, Jamerson
Sanchez, Adriana
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Univ Costa Rica, Ctr Invest Matemat Pura & Aplicada Escuela Matemat, San Jose, Costa RicaUniv Costa Rica, Ctr Invest Matemat Pura & Aplicada Escuela Matemat, San Jose, Costa Rica
Sanchez, Adriana
Tall, El Hadji Yaya
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Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, BrazilUniv Costa Rica, Ctr Invest Matemat Pura & Aplicada Escuela Matemat, San Jose, Costa Rica
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Univ Melbourne, Dept Math & Stat, Melbourne, Vic 3010, Australia
ARC Ctr Excellence Math & Stat Frontiers, Sydney, NSW, AustraliaUniv Melbourne, Dept Math & Stat, Melbourne, Vic 3010, Australia
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Univ Paris 11, CNRS, LPTMS, UMR 8626, F-91405 Orsay, France
UPMC Univ Paris 6, F-75005 Paris, FranceUniv Paris 11, CNRS, LPTMS, UMR 8626, F-91405 Orsay, France
Comtet, Alain
Texier, Christophe
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Univ Paris 11, CNRS, LPTMS, UMR 8626, F-91405 Orsay, France
Univ Paris 11, CNRS, LPS, UMR 8502, F-91405 Orsay, FranceUniv Paris 11, CNRS, LPTMS, UMR 8626, F-91405 Orsay, France
Texier, Christophe
Tourigny, Yves
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Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, EnglandUniv Paris 11, CNRS, LPTMS, UMR 8626, F-91405 Orsay, France