Branching processes in random environments constitute a significant class of stochastic models designed to capture the interplay between intrinsic reproductive dynamics and extrinsic environmental ...

Branching processes and neutron transport equations represent two interconnected yet distinct areas that lie at the interface of probability theory, statistical physics and applied mathematics.

Consider a time-homogeneous Markov branching process. We construct reduced processes, based on whether the length of line of descent of particles of this process are (a) greater than or (b) at most ...

Let Mn denote the size of the largest amongst the first n generations of a simple branching process. It is shown for near critical processes with a finite offspring variance that the law of Mn/n, ...

Branching processes form one of the fundamerntal type of stochastic processes and are typically introduced in order to describe population growth. The most fundamental and classical population model ...

We have a population that branches according to a 2nd degree order polynomial, which means the rate per individual at which individuals die increases with the population size and the individual birth ...