5 papers
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…
The evolutionary advantage of replacers in the Moran process
Michal Pecho, Josef Tkadlec, Martin A. Nowak
Evolution occurs in populations of reproducing individuals. In stochastic descriptions of evolutionary dynamics, such as the Moran process, individuals are chosen randomly for birt…
Mixed updating in structured populations
David A. Brewster, Yichen Huang, Michael Mitzenmacher +1
Evolutionary graph theory (EGT) studies the effect of population structure on evolutionary dynamics. The vertices of the graph represent the individuals. The edges denote inter…
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…
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…