TY - JOUR
T1 - Uniformly hyperbolic finite-valued SL(2,ℝ)-cocycles
AU - Avila, Artur
AU - Bochi, Jairo
AU - Yoccoz, Jean Christophe
PY - 2010
Y1 - 2010
N2 - We consider finite families of SL(2 ;ℝ) matrices whose products display uniform exponential growth. These form open subsets of (SL.(2 ;ℝ))N, and we study their components, boundary, and complement. We also consider the more general situation where the allowed products of matrices satisfy a Markovian rule.
AB - We consider finite families of SL(2 ;ℝ) matrices whose products display uniform exponential growth. These form open subsets of (SL.(2 ;ℝ))N, and we study their components, boundary, and complement. We also consider the more general situation where the allowed products of matrices satisfy a Markovian rule.
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U2 - 10.4171/CMH/212
DO - 10.4171/CMH/212
M3 - Article
AN - SCOPUS:77957667192
SN - 0010-2571
VL - 85
SP - 813
EP - 884
JO - Commentarii Mathematici Helvetici
JF - Commentarii Mathematici Helvetici
IS - 4
ER -