An abstract continuity theorem for Lyapunov exponents of linear cocycles and an application to random cocycles

摘要: We devise an abstract scheme to prove continuity of the Lyapunov exponents for a general class linear cocycles. The main assumption is large deviation type (LDT) estimate, uniform in data. provide modulus that depends explicitly on sharpness LDT estimate. Moreover, we derive such estimates irreducible random cocycles Markovian type, thus proving Holder their exponents. This preliminary version.