Domains of analytic continuation for the top Lyapunov exponent (Q1190305)

For a product of random positive matrices with Markovian dependence, the author shows how the top Lyapunov exponent depends analytically on the transition probabilities and investigates the domains of analytic continuation. The author's results are further extended to random matrix products with Markovian dependence. The paper finishes by listing a number of unsolved problems.