Population genetics

Mathematical models of allele frequencies in populations under random mating, selection, mutation, migration and genetic drift, including the Wright–Fisher and Moran models and their diffusion limits.

• Diffusion theory
• Ewens sampling formula and the Chinese restaurant process
• Haldane's survival probability of a beneficial mutation
• Hardy–Weinberg law
• Infinite-alleles model and homozygosity
• Linkage disequilibrium and Haldane's map function
• Luria–Delbrück distribution
• Moran model
• Mutation–selection balance
• Natural selection, Fisher's theorem and the Price equation
• Baum–Eagon inequality for diploid selection
• Wright's island model
• Wright–Fisher Markov chain

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