3 papers
q-bio.PE2026
Fixation location in structured populations
David A. Brewster, Gabor Lippner, Josef Tkadlec +1
In stochastic evolutionary dynamics, the replacement of an existing genotype or cultural trait by a newly introduced mutant is typically characterized by the quantities of fixation…
math.PR2025
The Mixed Birth-death/death-Birth Moran Process
David A. Brewster, Yichen Huang, Michael Mitzenmacher +1
We study evolutionary dynamics on graphs in which each step consists of one birth and one death, also known as the Moran processes. There are two types of individuals: residents wi…
q-bio.PE2025
Maintaining diversity in structured populations
David A. Brewster, Jakub Svoboda, Dylan Roscow +3
We examine population structures for their ability to maintain diversity in neutral evolution. We use the general framework of evolutionary graph theory and consider birth-death (b…