# Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion

## TL;DR

This paper enhances the understanding of stability in analytic quasi-convex nearly integrable Hamiltonian systems, achieving optimal stability results that align with the maximum possible speed of Arnold diffusion.

## Contribution

It provides an improved, optimal Nekhoroshev stability estimate for these systems, matching the fastest known Arnold diffusion speed.

## Key findings

- Achieved optimal Nekhoroshev stability bounds.
- Matched the stability results with the maximum speed of Arnold diffusion.
- Enhanced theoretical understanding of Hamiltonian system stability.

## Abstract

We improve the global Nekhoroshev stability for analytic quasi-convex nearly integrable Hamiltonian systems. The new stability result is optimal, as it matches the fastest speed of Arnold diffusion.