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References
- Athreya, Krishna B.; Ney, Peter E. Branching processes. Die Grundlehren der mathematischen Wissenschaften, Band 196. Springer-Verlag, New York-Heidelberg, 1972. xi+287 pp. MR0373040
- N. H. Barton. Linkage and the limits to natural selection. Genetics, 140:821--841, 1995.
- Burkholder, D. L. Distribution function inequalities for martingales. Ann. Probability 1 (1973), 19--42. MR0365692
- Etheridge, Alison; Pfaffelhuber, Peter; Wakolbinger, Anton. An approximate sampling formula under genetic hitchhiking. Ann. Appl. Probab. 16 (2006), no. 2, 685--729. MR2244430
- Ethier, Stewart N.; Kurtz, Thomas G. Markov processes. Characterization and convergence. Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics. John Wiley & Sons, Inc., New York, 1986. x+534 pp. ISBN: 0-471-08186-8 MR0838085
- Ewens, Warren J. Mathematical population genetics. Biomathematics, 9. Springer-Verlag, Berlin-New York, 1979. xii+325 pp. ISBN: 3-540-09577-2 MR0554616
- Fisher, R. A. The genetical theory of natural selection. A complete variorum edition. Revised reprint of the 1930 original. Edited, with a foreword and notes, by J. H. Bennett. Oxford University Press, Oxford, 1999. xxii+332 pp. ISBN: 0-19-850440-3 MR1785121
- J. H. Gillespie. Genetic drift in an infinite population: The pseudohitchiking model. Genetics, 155:909--919, 2000.
- J. H. Gillespie. Is the population size of a species relevant to its evolution? Evolution, 55:2161--2169, 2001.
- Grimmett, G. R.; Stirzaker, D. R. Probability and random processes. Second edition. The Clarendon Press, Oxford University Press, New York, 1992. xii+541 pp. ISBN: 0-19-853666-6; 0-19-853665-8 MR1199812
- J. B. Haldane. The mathematical theory of natural and artificial selection. Proc. Camb. Philos. Soc., 23:838:844, 1927.
- W. G. Hill and A. Robertson. The effect of linkage on limits to artificial selection. Genetics Research, 8:269--294, 1966.
- Ikeda, Nobuyuki; Watanabe, Shinzo. Stochastic differential equations and diffusion processes. Second edition. North-Holland Mathematical Library, 24. North-Holland Publishing Co., Amsterdam; Kodansha, Ltd., Tokyo, 1989. xvi+555 pp. ISBN: 0-444-87378-3 MR1011252
- Karlin, Samuel; Taylor, Howard M. A second course in stochastic processes. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981. xviii+542 pp. ISBN: 0-12-398650-8 MR0611513
- Y. Kim. Allele frequency distribution under recurrent selective sweeps. Genetics, 172:1967--1978, 2006.
- M. Kimura and T. Ohta. The average number of generations until fixation of a mutant gene in a finite population. Genetics, 61(3):763, 1969.
- G. A. McVean and Charlesworth B. The effects of Hill-Robertson interference between weakly selected mutations on patterns of molecular evolution and recombination. Genetics, 155:929--44, 2000.
- H. J. Muller. Some genetic aspects of sex. American Naturalist, 66:118--138, 1932.
- S. P. Otto and N. H. Barton. The evolution of recombination: removing the limits to natural selection. Genetics, 147:879--906, 1997.
- Feng Yu and A. M. Etheridge. The fixation probability of two competing beneficial mutations. Theor. Popul. Biol., 78:36--45, 2010.

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