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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
29/2015

The free energy method for the Fokker-Planck equation of the Wright-Fisher model

Tat Dat Tran, Julian Hofrichter and Jürgen Jost

Abstract

We use the free energy functional associated with the Fokker-Planck (forward Kolmogorov) equation to investigate the convergence to equilibrium of the Wright-Fisher model of population genetics in the case of positive mutation rates.

Received:
Apr 22, 2015
Published:
Apr 23, 2015

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Preprint
2015 Repository Open Access
Tat Dat Tran, Julian Hofrichter and Jürgen Jost

The free energy method for the Fokker-Planck equation of the Wright-Fisher model