English

A basic model of mutations

Probability 2018-08-01 v2

Abstract

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.

Cite

@article{arxiv.1806.01212,
  title  = {A basic model of mutations},
  author = {Raphaël Cerf and Maxime Berger},
  journal= {arXiv preprint arXiv:1806.01212},
  year   = {2018}
}

Comments

15 pages

R2 v1 2026-06-23T02:18:26.956Z