# A new approach to mutual information

## TL;DR

This paper introduces a novel asymptotic expression for mutual information using discrete micro-states of permutations, applicable to both continuous and discrete random variables.

## Contribution

It presents a new theoretical approach to mutual information based on asymptotic limits and micro-states, expanding the analytical tools available.

## Key findings

- Provides a new formula for mutual information
- Applicable to both continuous and discrete variables
- Enhances understanding of mutual information structure

## Abstract

A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided to the mutual information of both continuous and discrete random variables.