# On the statistical stability of Lorenz attractors with a $C^{1+\alpha}$ stable foliation

## TL;DR

This paper proves that Lorenz attractors with a certain smoothness in their stable foliation exhibit statistical stability, meaning their statistical properties are robust under small perturbations.

## Contribution

It establishes the statistical stability for Lorenz attractors with a $C^{1+eta}$ stable foliation, advancing understanding of their robustness.

## Key findings

- Proves statistical stability for a class of Lorenz attractors.
- Shows robustness of statistical properties under perturbations.
- Extends previous results to attractors with $C^{1+eta}$ foliations.

## Abstract

We prove statistical stability for a family of Lorenz attractors with a $C^{1+\alpha}$ stable foliation.