The Renormalization Group and the Dynamics of Genetic Systems

TL;DR

This paper explores how the concepts of coarse graining and the Renormalization Group naturally apply to the dynamics of genetic systems, especially with recombination, revealing hierarchical structures and new analytical insights.

Contribution

It introduces a novel application of Renormalization Group techniques to genetic system dynamics, linking coarse and fine-grained degrees of freedom over time.

Findings

Hierarchical dynamics with Feynman-diagrammatic representation

Coarse grained formulation yields new analytical results

Recombination induces natural coarse graining in genetic models

Abstract

In this brief article I show how the notion of coarse graining and the Renormalization Group enter naturally in the dynamics of genetic systems, in particular in the presence of recombination. I show how the latter induces a dynamics wherein coarse grained and fine grained degrees of freedom are naturally linked as a function of time leading to a hierarchical dynamics that has a Feynman-diagrammatic representation. I show how this coarse grained formulation can be exploited to obtain new results.