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- W2539208043 abstract "Given Holder continuous functions f and (psi ) on a subshift of finite type (mathrm{Sigma }_{A}^{+}) such that (psi ) is not cohomologous to a constant, the classical large deviation principle holds with a rate function (I_psi geqslant 0) such that (I_psi (p) = 0) iff Open image in new window, where Open image in new window is the equilibrium state of f. In this paper we derive a uniform estimate from below for (I_psi ) for p outside an interval containing Open image in new window, which depends only on the subshift (mathrm{Sigma }_{A}^{+}), the function f, the norm (|psi |_infty ), the Holder constant of (psi ) and the integral (widetilde{psi }). Similar results can be derived in the same way, e.g. for Axiom A diffeomorphisms on basic sets." @default.
- W2539208043 created "2016-10-28" @default.
- W2539208043 creator A5018073268 @default.
- W2539208043 date "2016-10-24" @default.
- W2539208043 modified "2023-10-11" @default.
- W2539208043 title "A uniform estimate for rate functions in large deviations" @default.
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- W2539208043 doi "https://doi.org/10.1007/s40879-016-0119-z" @default.
- W2539208043 hasPublicationYear "2016" @default.
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