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Abstract: We consider finite families of SL2,R matrices whose products displayuniform exponential growth. These form open subsets of SL2,R^N, and westudy their components, boundary, and complement. We also consider the moregeneral situation where the allowed products of matrices satisfy a Markovianrule.



Author: Artur Avila, Jairo Bochi, Jean-Christophe Yoccoz

Source: https://arxiv.org/



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