Stochastic Models of Evolution in Genetics, Ecology and Linguistics

Details Stochastic Models of Evolution in Genetics, Ecology and Linguistics Stochastic Models of Evolution in Genetics, Ecology and Linguistics

2007-03-19

arxiv.org/abs/cond-mat/0703478v1

J. Stat. Mech.: Theor. Exp. (2007) P07018

Physics

Condensed Matter

Statistical Mechanics

60 pages, 7 figures, for the JSTAT Special Issue relating to the Isaac Newton Institute Programme "The Principles of the Dynam

Scientific paper

10.1088/1742-5468/2007/07/P07018

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.

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