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Convergence of the genealogy in Cannings models
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Classroom Contents
Lambda-Coalescents Arising in a Population With Dormancy
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- 1 A-coalescents arising in a population with dormancy
- 2 The Wright-Fisher Model
- 3 Kingman's Coalescent (Kingman, 1982)
- 4 A Limit Theorem
- 5 Coalescents with multiple mergers (A-coalescents)
- 6 Definition and construction of the A-coalescent
- 7 Cannings models (Cannings, 1974)
- 8 Convergence of the genealogy in Cannings models
- 9 Heavy-tailed offspring distributions
- 10 Idea of the proof (1 2)
- 11 Idea of Wright and Vestigian (2019)
- 12 A model involving dormancy
- 13 A two-point distribution
- 14 Genealogy of the population
- 15 Exponentially increasing rate of exit from dormancy
- 16 Classifying the possible limits
- 17 The effect of summer
- 18 Summary and conclusions
