# Branching process

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In probability theory, a **branching process** is a Markov process that models a population in which each individual in generation n produces some random number of individuals in generation n + 1, according, in the simplest case, to a fixed probability distribution that does not vary from individual to individual.

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## Quotes[edit]

- Branching processes provide perhaps the simplest example of a phase transition. They occur naturally as a model of the random evolution of a population that changes in time as a result of births and deaths.
- Timothy Gowers; June Barrow-Green; Imre Leader (18 July 2010).
*The Princeton Companion to Mathematics*. Princeton University Press. p. 658. ISBN 1-4008-3039-7.

- Timothy Gowers; June Barrow-Green; Imre Leader (18 July 2010).