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math.PR2014
The distribution of the quasispecies for a Galton--Watson process on the sharp peak landscape
Joseba Dalmau
We study a classical multitype Galton--Watson process with mutation and selection. The individuals are sequences of fixed length over a finite alphabet. On the sharp peak fitness l…
q-bio.PE2014
Convergence of a Moran model to Eigen's quasispecies model
Joseba Dalmau
We prove that a Moran model converges in probability to Eigen's quasispecies model in the infinite population limit.
math.PR2014
The distribution of the quasispecies for the Wright-Fisher model on the sharp peak landscape
Joseba Dalmau
We consider the classical Wright-Fisher model with mutation and selection. Mutations occur independently in each locus, and selection is performed according to the sharp peak lands…