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Datko-Pazy conditions for nonuniform exponential stability

Published 20 Nov 2017 in math.DS and math.CA | (1711.07284v1)

Abstract: For linear cocycles over both maps and flows, we obtain Datko-Pazy type of conditions under which all Lyapunov exponents of a given cocycle are negative. Furthermore, by combining our results with the results on subadditive ergodic optimisation, we also present new criteria for uniform exponential stability of linear cocycles.

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