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Elliptic and other functions in the large deviations behavior of the Wright-Fisher process - MaRDI portal

Elliptic and other functions in the large deviations behavior of the Wright-Fisher process (Q1296624)

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scientific article; zbMATH DE number 1319849
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Elliptic and other functions in the large deviations behavior of the Wright-Fisher process
scientific article; zbMATH DE number 1319849

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    Elliptic and other functions in the large deviations behavior of the Wright-Fisher process (English)
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    21 August 2000
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    The author continues the work of two previous papers on the variational behavior, over a large number of generations, of a Wright-Fisher process modelling an even larger reproducing population. It is shown that a process subject to random drift and gamete selection follows in similar circumstances a path which is, apart from critical cases, a Jacobian elliptic function.
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    Wright-Fisher process
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    large deviations
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    action functional
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    calculus of variations
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    elliptic functions
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