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• W3059950004 abstract "The C1 Hartman Theorem states that every C1,1 contraction in Rd admits C1 linearization. In this paper we prove C1,β linearizability for C1,α contractive (or expansive) random diffeomorphisms with appropriate constants 0<α<1 and 0<β<1, which implies a random version of the C1 Hartman Theorem. Moreover, the conjugacy is proved to be tempered. This result strengthens related results even in the deterministic case, lowering the C1,1 condition to C1,α and enhancing the C1 smoothness of the conjugacy to C1,β in Rd. In the proof we use a smooth weak-stable invariant manifold in the random sense to construct the conjugacy and to overcome difficulties from nonuniformity and measurability." @default.
• W3059950004 created "2020-08-24" @default.
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• W3059950004 date "2020-12-01" @default.
• W3059950004 modified "2023-10-17" @default.
• W3059950004 title "C1 Hartman Theorem for random dynamical systems" @default.
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• W3059950004 doi "https://doi.org/10.1016/j.aim.2020.107375" @default.
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