539 citations · 1.2k across the 16 of their papers we have counts for
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Stationary frequencies and mixing times for neutral drift processes with spatial structure
Alex McAvoy, Ben Adlam, Benjamin Allen +1
We study a general setting of neutral evolution in which the population is of finite, constant size and can have spatial structure. Mutation leads to different genetic types ("trai…
Evolution of Cooperation on Stochastic Block Models
Babak Fotouhi, Naghmeh Momeni, Benjamin Allen +1
Cooperation is a major factor in the evolution of human societies. The structure of human social networks, which affects the dynamics of cooperation and other interpersonal phenome…
Conjoining uncooperative societies facilitates evolution of cooperation
Babak Fotouhi, Naghmeh Momeni, Benjamin Allen +1
Social structure affects the emergence and maintenance of cooperation. Here we study the evolutionary dynamics of cooperation in fragmented societies, and show that conjoining segr…
A mathematical formalism for natural selection with arbitrary spatial and genetic structure
Benjamin Allen, Alex McAvoy
We define a general class of models representing natural selection between two alleles. The population size and spatial structure are arbitrary, but fixed. Genetics can be haploid,…