Beta-coalescents and continuous stable random trees

  title={Beta-coalescents and continuous stable random trees},
  author={Julien Berestycki and Nathanael Berestycki and Jason Schweinsberg},
Coalescents with multiple collisions, also known as Λ-coalescents, were introduced by Pitman and Sagitov in 1999. These processes describe the evolution of particles that undergo stochastic coagulation in such a way that several blocks can merge at the same time to form a single block. In the case that the measure Λ is the Beta(2 − α, α) distribution, they are also known to describe the genealogies of large populations where a single individual can produce a large number of offspring. Here we… CONTINUE READING


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