30 citations · 69 across the 22 of their papers we have counts for
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Formal properties of the probability of fixation: identities, inequalities and approximations
David M. McCandlish, Charles L. Epstein, Joshua B. Plotkin
The formula for the probability of fixation of a new mutation is widely used in theoretical population genetics and molecular evolution. Here we derive a series of identities, ineq…
The inevitability of unconditionally deleterious substitutions during adaptation
David M. McCandlish, Charles L. Epstein, Joshua B. Plotkin
Studies on the genetics of adaptation typically neglect the possibility that a deleterious mutation might fix. Nonetheless, here we show that, in many regimes, the first substituti…
Anderson Localization, Non-linearity and Stable Genetic Diversity
Charles L. Epstein
In many models of genotypic evolution, the vector of genotype populations satisfies a system of linear ordinary differential equations. This system of equations models a competitio…