Convergence of one-dimensional diffusion processes to a jump process related to population genetics.

Abstract excerpt

A conjecture on the convergence of diffusion models in population genetics to a simple Markov chain model is proved. The notion of bi-generalized diffusion processes and their limit theorems are used systematically to prove the conjecture. Three limits; strong selection-weak mutation limit, moder...

Topics

• Genetics, Population
• Markov Chains
• Models, Genetic
• Models, Theoretical
• Mutation
• Stochastic Processes
• Time Factors