Name
Abstract | ||
|---|---|---|
Although much progress has been made in recent years in describing the dynamics of genetic systems, both in population genetics and evolutionary computation, there is still a conspicuous lack of tools with which to derive systematic, approximate solutions to their dynamics. In this article, we propose and study perturbation theory and the renormalization group as potential tools to fill this gap. We concentrate mainly on selection-mutation systems, showing different implementations of the perturbative framework, developing, for example, perturbative expansions for the eigenvalues and eigenvectors of the transition matrix. The main focus, however, is on diagrammatic methods, taken from physics, where we show how approximations can be built up using a pictorial representation generated by a simple set of rules, and how the renormalization group can be used to systematically improve the perturbation theory. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1142/S0219525909002350 | ADVANCES IN COMPLEX SYSTEMS |
Keywords | Field | DocType |
Genetic dynamics,mutation,selection,perturbation theory,renormalization group | Diagrammatic reasoning,Quantum mechanics,Artificial intelligence,Eigenvalues and eigenvectors,Perturbation theory (quantum mechanics),Statistical physics,Perturbation theory,Stochastic matrix,Evolutionary computation,Simple set,Mathematics,Machine learning,Renormalization group | Journal |
Volume | Issue | ISSN |
12 | 6 | 0219-5259 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Christopher R Stephens | 1 | 122 | 19.10 |
| Adolfo Zamora | 2 | 6 | 1.26 |