Volume 24, 2020
|Page(s)||789 - 800|
|Published online||20 November 2020|
A basic model of mutations
Département de mathématiques et applications, Ecole Normale Supérieure, CNRS, PSL Research University,
2 Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, CNRS, Université Paris–Saclay, 91405 Orsay.
* Corresponding author: firstname.lastname@example.org
Accepted: 18 September 2020
We study a basic model for mutations. We derive exact formulae for the mean time needed to discover the master sequence, the mean returning time to the initial state, or to any Hamming class. These last two formulae are the same than the formulae obtained by Mark Kac for the Ehrenfest model.
Mathematics Subject Classification: 60J10 / 60J45 / 92D10
Key words: Markov chain / generating function / genetics / potential theory
© The authors. Published by EDP Sciences, SMAI 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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