Elliptic and other functions in the large deviations behavior of the Wright-Fisher process
Papangelou, F.
Ann. Appl. Probab., Tome 8 (1998) no. 1, p. 182-192 / Harvested from Project Euclid
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The present paper 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 was shown that a Wright-Fisher process subject to random drift and one-way mutation which undergoes a large deviation follows with near certainty a path which can be a trigonometric, exponential, hyperbolic or parabolic function. Here 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.
Publié le : 1998-02-14
Classification:  Wright-Fisher process,  large deviations,  action functional,  calculus of variations,  elliptic functions,  60F10,  60J20 
@article{1027961039,
     author = {Papangelou, F.},
     title = {Elliptic and other functions in the large deviations behavior of
		 the Wright-Fisher process},
     journal = {Ann. Appl. Probab.},
     volume = {8},
     number = {1},
     year = {1998},
     pages = { 182-192},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1027961039}
}

Papangelou, F. Elliptic and other functions in the large deviations behavior of
		 the Wright-Fisher process. Ann. Appl. Probab., Tome 8 (1998) no. 1, pp.  182-192. http://gdmltest.u-ga.fr/item/1027961039/