Haldane linearisation done right: Solving the nonlinear recombination equation the easy way

@article{Baake2016HaldaneLD,
  title={Haldane linearisation done right: Solving the nonlinear recombination equation the easy way},
  author={Ellen Baake and Michael Baake},
  journal={arXiv: Classical Analysis and ODEs},
  year={2016}
}
  • E. Baake, M. Baake
  • Published 16 June 2016
  • Mathematics
  • arXiv: Classical Analysis and ODEs
The nonlinear recombination equation from population genetics has a long history and is notoriously difficult to solve, both in continuous and in discrete time. This is particularly so if one aims at full generality, thus also including degenerate parameter cases. Due to recent progress for the continuous time case via the identification of an underlying stochastic fragmentation process, it became clear that a direct general solution at the level of the corresponding ODE itself should also be… 
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