# Large deviations for dynamical systems with stretched exponential decay of correlations

## TL;DR

This paper derives improved large deviations estimates for dynamical systems exhibiting stretched exponential decay of correlations, including Viana maps and certain intermittent maps, enhancing understanding of their statistical properties.

## Contribution

It provides new large deviations estimates for systems with stretched exponential decay, extending previous results and applying to specific classes like Viana maps and intermittent maps.

## Key findings

- Enhanced large deviations estimates for Viana maps.
- Large deviations results for intermittent maps with stretched exponential decay.
- Improved bounds compared to previous studies.

## Abstract

We obtain large deviations estimates for systems with stretched exponential decay of correlations, which improve the ones obtained in \cite{AFLV11}. As a consequence we obtain better large deviations estimates for Viana maps and get large deviations estimates for a class of intermittent maps with stretched exponential loss of memory.