# A variance-sensitive Gaussian concentration inequality

## TL;DR

This paper introduces a Gaussian concentration inequality tailored for non-Lipschitz functions, extending existing results in one dimension to broader classes of functions.

## Contribution

It provides a new concentration inequality for non-Lipschitz functions, complementing prior work by Paouris and Valettas in one-dimensional settings.

## Key findings

- Extended Gaussian concentration bounds for non-Lipschitz functions.
- Complemented existing inequalities in one-dimensional cases.
- Broadens applicability of concentration inequalities.

## Abstract

In this note, we obtain a Gaussian concentration inequality for a class of non-Lipschitz functions. In the one-dimensional case, our results supplement those established by Paouris and Valettas in [8].