# Influences of monotone Boolean functions

## TL;DR

This paper proves Keller and Pilpel's conjecture that the influence of a monotone Boolean function remains unchanged under invertible linear transformations.

## Contribution

It provides a proof confirming that the influence of monotone Boolean functions is invariant under invertible linear transformations.

## Key findings

- Influence remains unchanged under invertible linear transformations.
- Confirms Keller and Pilpel's conjecture.
- Advances understanding of Boolean function properties.

## Abstract

Recently, Keller and Pilpel conjectured that the influence of a monotone Boolean function does not decrease if we apply to it an invertible linear transformation. Our aim in this short note is to prove this conjecture.