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, ...

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 ...

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

The tracheal system of Drosophila melanogaster is one of the best characterized multicellular branched organs. Branchless (BNL), a fibroblast growth factor (FGF) ligand, initiates the branching ...

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 ...

Our nervous system is composed of billions of neurons that speak to each other through their axons and dendrites. When the human brain develops, these structures branch out in a beautifully intricate, ...