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Fixation probability and fixation time in structured populations
Josef Tkadlec, Andreas Pavlogiannis, Krishnendu Chatterjee +1
The rate of biological evolution depends on the fixation probability and on the fixation time of new mutants. Intensive research has focused on identifying population structures th…
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…
Selection for synchronized cell division in simple multicellular organisms
Jason Olejarz, Kamran Kaveh, Carl Veller +1
The evolution of multicellularity was a major transition in the history of life on earth. Conditions under which multicellularity is favored have been studied theoretically and exp…
Strong Amplifiers of Natural Selection: Proofs
Andreas Pavlogiannis, Josef Tkadlec, Krishnendu Chatterjee +1
We consider the modified Moran process on graphs to study the spread of genetic and cultural mutations on structured populations. An initial mutant arises either spontaneously (aka…