On the existence of accessible paths in various models of fitness landscapes

@article{Hegarty2014OnTE,
  title={On the existence of accessible paths in various models of fitness landscapes},
  author={Peter V. Hegarty and Anders Martinsson},
  journal={Annals of Applied Probability},
  year={2014},
  volume={24},
  pages={1375-1395}
}
We present rigorous mathematical analyses of a number of well-known mathematical models for genetic mutations. In these models, the genome is represented by a vertex of the n-dimensional binary hypercube, for some n, a mutation involves the flipping of a single bit, and each vertex is assigned a real number, called its fitness, according to some rules. Our main concernis with the issue of existence of (selectively) accessible paths; that is, monotonic paths in the hypercube along which fitness… 

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