Under projective uniform hyperbolicity for Markov-driven 2x2 matrix products, the top Lyapunov exponent has a rapidly convergent infinite-matrix representation yielding an O((log(1/ε))^3) approximation algorithm and real-analytic parameter dependence.
Peres, Domain of analytic continuation for the top Lyapunov exponent, Ann
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Lyapunov exponents for uniformly hyperbolic random matrix products
Under projective uniform hyperbolicity for Markov-driven 2x2 matrix products, the top Lyapunov exponent has a rapidly convergent infinite-matrix representation yielding an O((log(1/ε))^3) approximation algorithm and real-analytic parameter dependence.