• Corpus ID: 41439595

Equations of Evolutionary Dynamics in High Dimensions

  title={Equations of Evolutionary Dynamics in High Dimensions},
  author={R. AlfredAjayAureate and Vaibhav Madhok},
  journal={arXiv: Populations and Evolution},
We study quasi-species and closely related evolutionary dynamics like the replicator-mutator equation in high dimensions. In particular, we show that under certain conditions the fitness of almost all quasi-species becomes independent of mutational probabilities and the initial frequency distributions of the sequences in high dimensional sequence spaces. This result is the consequence of the concentration of measure on a high dimensional hypersphere and its extension to Lipschitz functions… 

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