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Far East Journal of Dynamical Systems

Abstract:
In this article we obtain bounds for large deviations processes in dynamical systems, in which non-additive sequences are considered. More specifically, for sequences

and dynamical maps

such that

converges uniformly we estimate the growing rate of

where n is a finite Borel measure on X and I is a real interval. We consider also a particular case in which the process description easily follows from Ellis theorem.

Keywords and phrases: large deviations, non-additive sequences, thermodynamic formalism.

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