# Infinite-dimensional Stochastic Differential Equations with Symmetry

## TL;DR

This paper reviews recent advances in the study of infinite-dimensional stochastic differential equations exhibiting symmetry, highlighting examples from random matrix theory to illustrate key concepts and progress.

## Contribution

It provides a comprehensive overview of recent developments in symmetric infinite-dimensional SDEs, connecting them with applications in random matrix theory.

## Key findings

- Examples from random matrix theory are discussed.
- Recent progress in symmetric infinite-dimensional SDEs is summarized.
- The paper highlights key theoretical advancements.

## Abstract

We review recent progress in the study of infinite-dimensional stochastic differential equations with symmetry. This paper contains examples arising from random matrix theory.