This authored monograph presents a mathematical description of the time evolution of neutral
genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its
solutions with respect to different mutation models and demographic patterns can be
characterized using operator semi group theory. Mutation and drift are two of the main genetic
forces which act on genes of individuals in populations. Their effects are influenced by
population dynamics. This book covers the application to two mutation models: single step
mutation for microsatellite loci and single-base substitutions. The effects of demographic
change to the asymptotic of the distribution are also covered. The target audience primarily
covers researchers and experts in the field but the book may also be beneficial for graduate
students.
