Report - LYAPUNOV EXPONENTS FOR PRODUCTS OF MATRICES AND ...djfeng/fengpapers/israel2004/israel.pdf · M(α) = 1 logm inf q∈R (1.2) {−αq +P M(q)} = 1 logm (1.3) sup{h(µ): µ ∈ M σ(Σ),

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