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The Renormalization Group and the Dynamics of Genetic Systems

2002/10/11 by Christopher R. Stephens, Stephens, Christopher R.
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Condensed Matter (cond-mat) #FOS: Biological sciences #FOS: Physical sciences #Quantitative Biology (q-bio) #cond-mat #nlin.AO #q-bio

paper · pdf · doi:10.48550/arxiv.cond-mat/0210271

Invited talk given at RG2002, Tatranska Strba, Slovakia, March 2002. To be published in Acta Physica Slovaka

arxiv created 2002/10/11 · arxiv updated 2009/11/30

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.

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