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Branching processes: Genealogy and Evolution

Miguel González
Department of Mathematics
University of Extremadura
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Inés Mª del Puerto
Department of Mathematics
University of Extremadura
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  • Abstract
    Branching process theory provides appropriate mathematical models to describe the probabilistic evolution of systems whose components (cells, particles, individuals in general) after a certain life period reproduce and die. The genealogy of this theory is presented, describing the basic results of the standard Bienaymé-Galton-Watson process and some of its generalizations, paying special attention to controlled branching processes. Several fields in which this theory has been applied successfully are indicated.
  • Keywords: Branching processes, extinction probability, asymptotic distribution, history, applications.
  • AMS Subject classifications: 60J80, 62M05.
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