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• W2963333148 abstract "We introduce a gluing orbit property, weaker than specification, for both continuous maps and flows. We prove that flows with the C1-robust gluing orbit property are uniformly hyperbolic and that every uniformly hyperbolic flow satisfies the gluing orbit property. We also prove a level-1 large deviations principle and a level-2 large deviations lower bound for semiflows with the gluing orbit property. As a consequence we establish a level-1 large deviations principle for hyperbolic flows and every continuous observable, and also a level-2 large deviations lower bound. Finally, since many non-uniformly hyperbolic flows can be modeled as suspension flows we also provide criteria for such flows to satisfy uniform and non-uniform versions of the gluing orbit property." @default.
• W2963333148 created "2019-07-30" @default.
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• W2963333148 date "2019-06-01" @default.
• W2963333148 modified "2023-10-12" @default.
• W2963333148 title "The gluing orbit property, uniform hyperbolicity and large deviations principles for semiflows" @default.
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• W2963333148 doi "https://doi.org/10.1016/j.jde.2019.01.010" @default.
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