A Classification of Coalescent Processes for Haploid Exchangeable Population Models

By Martin Möhle, Serik Sagitov. 2001

185 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Genetics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2bf2128cd0c4c692a0345053feaa3f0d7ce6d5cd

Citations in the corpus

On sampling distributions for coalescent processes with simultaneous multiple collisions (2006, unknown): “It is known (Pitman 1999; Sagitov 1999; Möhle and Sagitov 2001) that, in addition to the Kingman coalescent, a richer class of coalescent processes plays an important role in population genetics.”
Stochastic flows associated to coalescent processes (2003, unknown): “On the other hand, recent papers by Möhle, Sagitov, Pitman and Schweinsberg (cf. [14, 15, 17, 18]) have exhibited a large family of coalescent processes with values in the space P of partitions of N := {1, 2, . . .}, which arise as the limits of Cannings’ model for genealogy when the size N of the ”
Combinatorial Stochastic Processes (2006, unknown): “Möhle and Sagitov [393], [313] Suppose that”
Stochastic flows associated to coalescent processes II: Stochastic differential equations (2005, unknown): “Exchangeable coalescents, also called coalescents with simultaneous multiple collisions by Schweinsberg [14], are processes taking values in the set P of all partitions of N, which appear as asymptotic models for phenomena of coagulation that occur when studying the genealogy of large populations.”
Efficient ancestry and mutation simulation with msprime 1.0 (2021, unknown): “These population dynamics violate basic assumptions of the Kingman coalescent, and are better modeled by “multiple-merger” coalescents (Donnelly and Kurtz 1999; Pitman 1999; Sagitov 1999; Schweinsberg 2000; Mo¨hle and Sagitov 2001), in which more than two lineages can merge in a given event.”
Small-time behavior of beta coalescents (2006, unknown): “See [29] for further results in this direction.”
Exchangeable Fragmentation-Coalescence Processes and their Equilibrium Measures (2004, unknown): “Final version accepted on September”
Coalescents with Simultaneous Multiple Collisions (2000, unknown): “¿From equation (5) of [13], we have cN = E[(ν1,N )2] N − 1 .”
Convergence in distribution of random metric measure spaces (Λ-coalescent measure trees) (2009, unknown): “Such coalescent processes have since been the subject of many papers (see, for example, [3,5,6,21,23]).”