The Characteristic Values and Vectors for a Class of Stochastic Matrices Arising in Genetics

The structure of those matrices which underlie certain discrete stochastic models in population genetics are investigated. The models considered are all those constant population size haploid models in which there are no mutation forces and no selection forces present. The structure of the underlying matrices is delineated by deriving all the eigenvalues and a complete set of right and a complete set of left eigenvectors.