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