Mutation and Random Matrix Theory

TL;DR

This paper explores the connection between genetic evolution and random matrix theory, proposing that mutation induces a phase transition akin to the Gross-Witten-Wadia transition within a statistical framework.

Contribution

It introduces a novel perspective linking mutation in genetic evolution to phase transitions in random matrix theory, expanding the theoretical understanding of evolutionary dynamics.

Findings

Mutation acts as a phase transition in the proposed model.

Genetic evolution can be modeled using random matrix theory.

The framework suggests new ways to analyze evolutionary processes.

Abstract

We will study the relationship between two well-known theories, genetic evolution and random matrix theory in the context of many-body systems. It is suggested that genetic evolution can be described by a random matrix theory with statistical distribution in which mutation acts as a Gross-Witten-Wadia phase transition.