Branching processes are stochastic processes which represent the
reproduction of particles, such as individuals within a population,
and thereby model demographic stochasticity. In branching processes
in random environment (BPREs), additional environmental
stochasticity is incorporated, meaning that the conditions of
reproduction may vary in a random fashion from one generation to
the next. This book offers an introduction to the basics of BPREs
and then presents the cases of critical and subcritical processes
in detail, the latter dividing into weakly, intermediate, and
strongly subcritical regimes.
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