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Random real trees

Jean-François Le Gall (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

We survey recent developments about random real trees, whose prototype is the Continuum Random Tree (CRT) introduced by Aldous in 1991. We briefly explain the formalism of real trees, which yields a neat presentation of the theory and in particular of the relations between discrete Galton-Watson trees and continuous random trees. We then discuss the particular class of self-similar random real trees called stable trees, which generalize the CRT. We review several important results concerning stable...

Relationship between the selection pressure and the rate of mutation accumulation

Katarzyna Bońkowska, Przemysław Biecek, Agnieszka Łaszkiewicz, Stanisław Cebrat (2008)

Banach Center Publications

We use the diploid, sexual Penna ageing model and its modification with noise and environment fluctuations to analyse the influence of random death on the accumulation of defective genes in the genetic pool of populations evolving under different environmental conditions.

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