# Exponential turnpike property for particle systems and mean-field limit

arXiv: https://arxiv.org/abs/2406.17127 · HTML: https://mlsanity.com/paper/2406.17127/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 24 Jun 2024.

## Built on by (most cited first, 1 of 1)

- [Training-Induced Escape from Token Clustering in a Mean-Field Formulation of Transformers](https://mlsanity.com/paper/2605.07772/) (2026)

## Abstract (arXiv)

This work is concerned with the exponential turnpike property for optimal control problems of particle systems and their mean-field limit. Under the assumption of the strict dissipativity of the cost function, exponential estimates for both optimal states and optimal control are proven. Moreover, we show that all the results for particle systems can be preserved under the limit in the case of infinitely many particles.