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Summary:
This project is devoted to interacting particle systems that describe the joint action of mutation and selection in populations with pairwise interaction between individuals, such as the diploid Moran model. The aim is to understand the lines of descent of such populations in the distant past. To this end, we will develop ancestral graphs that generalize the pruned look-down ancestral selection graph, and use them to investigate the ancestral lines and their type distribution, with the help of methods from duality and diffusion theory.
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21022
Frederic Alberti, Carolin Herrmann, Ellen Baake PDF
Selection, recombination, and the ancestral initiation graph Project: C1 Published: Theor. Popul. Biol. 42 (2021), 46–56 |
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20100
Fernando Cordero, Adrián González Casanova, Jason Schweinsberg, Maite Wilke-Berenguer PDF
$\Lambda$-coalescents arising in a population with dormancy Project: C1 Published: Electronic Journal of Probability 27 (2022), 1–34 Notes: DOI: 10.1214/22-EJP739 |
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20043
Frederic Alberti, Ellen Baake, Ian Letter, Servet Martinez PDF
Solving the migration-recombination equation from a genealogical point of view Project: C1 Published: Journal of Mathematical Biology 82 (2021), 1–27 |
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20031
Fernando Cordero, Grégoire Véchambre PDF
Project: C1 Published: Advances in Applied Probability 55 (2023), 701–767 Notes: DOI: https://doi.org/10.1017/apr.2022.54
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Moran models and Wright-Fisher diffusion with selection and mutation in a one-sided random environment |
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20030
Ellen Baake, Frederic Alberti PDF
Solving the selection-recombination equation: ancestral lines and dual processes Project: C1 Published: Documenta Mathematica 26 (2021), 743–793 |
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19007
Fernando Cordero, Sebastian Hummel, Emmanuel Schertzer PDF
General selection models: Bernstein duality and minimal ancestral structures Project: C1 Published: Ann. Appl. Probab. 32, no. 3 (2022), 1499–1556 |
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18062
Ellen Baake, Fernando Cordero, Sebastian Hummel PDF
Lines of descent in the deterministic mutation-selection model with pairwise interaction Project: C1 Published: Ann. Appl. Probab. 32, no. 4 (2022), 2400–2447 |
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18020
Fernando Cordero, Martin Möhle PDF
Project: C1 Published: Journal of Mathematical Analysis and Applications 474 (2019), 1049–1081
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On the stationary distribution of the block counting process for population models with mutation and selection |
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18009
Ellen Baake, Fernando Cordero, Sebastian Hummel PDF
Project: C1 Published: Journal of Mathematical Biology 77 (2018), 795–820
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A probabilistic view on the deterministic mutation-selection equation: dynamics, equilibria, and ancestry via individual lines of descent |
