English

Stochastic Models of Evolution in Genetics, Ecology and Linguistics

Statistical Mechanics 2009-11-13 v1 Populations and Evolution

Abstract

We give a overview of stochastic models of evolution that have found applications in genetics, ecology and linguistics for an audience of nonspecialists, especially statistical physicists. In particular, we focus mostly on neutral models in which no intrinsic advantage is ascribed to a particular type of the variable unit, for example a gene, appearing in the theory. In many cases these models are exactly solvable and furthermore go some way to describing observed features of genetic, ecological and linguistic systems.

Cite

@article{arxiv.cond-mat/0703478,
  title  = {Stochastic Models of Evolution in Genetics, Ecology and Linguistics},
  author = {R. A. Blythe and A. J. McKane},
  journal= {arXiv preprint arXiv:cond-mat/0703478},
  year   = {2009}
}

Comments

60 pages, 7 figures, for the JSTAT Special Issue relating to the Isaac Newton Institute Programme "The Principles of the Dynamics of Nonequilibrium Systems", Cambridge, 2006