On random and mean exponents for unitarily invariant probability measures on 𝔾𝕃 n (ℂ)
Geometric methods in dynamics (II) : Volume in honor of Jacob Palis, Astérisque, no. 287 (2003), pp. 1-18 
@incollection{AST_2003__287__1_0,
     author = {Dedieu, Jean-Pierre and Shub, Mike},
     title = {On random and mean exponents for unitarily invariant probability measures on $\mathbb{GL}_n (\mathbb{C})$},
     booktitle = {Geometric methods in dynamics (II) : Volume in honor of Jacob Palis},
     editor = {de Melo, Wellington and Viana, Marcelo and Yoccoz, Jean-Christophe},
     series = {Ast\'erisque},
     pages = {1--18},
     year = {2003},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {287},
     mrnumber = {2039997},
     zbl = {1213.37083},
     language = {en},
     url = {https://www.numdam.org/item/AST_2003__287__1_0/}
}
TY  - CHAP
AU  - Dedieu, Jean-Pierre
AU  - Shub, Mike
TI  - On random and mean exponents for unitarily invariant probability measures on $\mathbb{GL}_n (\mathbb{C})$
BT  - Geometric methods in dynamics (II) : Volume in honor of Jacob Palis
AU  - Collectif
ED  - de Melo, Wellington
ED  - Viana, Marcelo
ED  - Yoccoz, Jean-Christophe
T3  - Astérisque
PY  - 2003
SP  - 1
EP  - 18
IS  - 287
PB  - Société mathématique de France
UR  - https://www.numdam.org/item/AST_2003__287__1_0/
LA  - en
ID  - AST_2003__287__1_0
ER  - 
%0 Book Section
%A Dedieu, Jean-Pierre
%A Shub, Mike
%T On random and mean exponents for unitarily invariant probability measures on $\mathbb{GL}_n (\mathbb{C})$
%B Geometric methods in dynamics (II) : Volume in honor of Jacob Palis
%A Collectif
%E de Melo, Wellington
%E Viana, Marcelo
%E Yoccoz, Jean-Christophe
%S Astérisque
%D 2003
%P 1-18
%N 287
%I Société mathématique de France
%U https://www.numdam.org/item/AST_2003__287__1_0/
%G en
%F AST_2003__287__1_0
Dedieu, Jean-Pierre; Shub, Mike. On random and mean exponents for unitarily invariant probability measures on $\mathbb{GL}_n (\mathbb{C})$, dans Geometric methods in dynamics (II) : Volume in honor of Jacob Palis, Astérisque, no. 287 (2003), pp. 1-18. https://www.numdam.org/item/AST_2003__287__1_0/

[1] Blum L., F. Cucker, M. Shub, S. Smale Complexity and Real Computation, Springer, 1998. | MR | Zbl | DOI

[2] Bougerol, P. and J. Lacroix Products of Random Matrices with Applications to Schrödinger Operators, Progress in Probability and Statistics, Vol. 8, Birkhauser, 1985. | MR | Zbl

[3] Burns K., C. Pugh, M. Shub and A. Wilkinson, Recent Results about Stable Ergodicity, to appear in: Proceedings on Symposia in Pure Mathematics, the Seattle Conference of Smooth Ergodic Theory, AMS. | MR | Zbl

[4] Gol'Shied I. Ya. and G. A. Margulis, Lyapunov Indices of a Product of Random Matrices, Russian Math. Surveys 44:5 (1989), pp. 11-71. | Zbl | DOI

[5] Guivarc'H Y. and A. Raugi, Propriétés de contraction d'un semi-groupe de matrices inversibles. Coefficients de Liapunoff d'un produit de matrices aléatoires indépendantes, Israel J. Math. 65 (1989), pp. 165-196. | MR | Zbl | DOI

[6] Ledrappier, F., Positivity of the Exponent for Stationary Sequences of Matrices, in: Lyapunov Exponents, Proceedings, Bremen 1984, Arnold L. and V. Wihstutz Eds., Lectures Notes in Math. Vol. 1186. | Zbl

[7] Oseledec, V. I., A Multiplicative Ergodic Theorern. Lyapunov Characteristic Numbers for Dynamical Systems, Trans. Moscow Math. Soc., 19, (1968), pp. 197-231. | Zbl | MR

[8] Ruelle, D., Ergodic Theory of Differentiable Dynamical Systems, Publications Mathématiques de l'IHES, Volume 50, (1979), pp. 27-58. | MR | Zbl | EuDML | Numdam | DOI

[9] Shub M. and A. Vasquez, Some Linearly Induced Morse-Smale Systems, the QR Algorithm and the Toda Lattice, in: The Legacy of Sonia Kovalevskaya, Linda Keen Ed., Contemporary Mathematics, Vol. 64, AMS, (1987), pp. 181-193. | MR | Zbl | DOI