Topic: Galton-Watson Branching Processes

The Deterministic One-Child Exception

The Conditional Recursion for Generation-Size Distributions

Solving Extinction Probabilities for Quadratic Generating Functions

Probability of Extinction by a Fixed Generation

Positive Survival Probability in the Supercritical Case

Poisson Offspring and Its Generating Function

Offspring Distributions and Probability Generating Functions

Numerical Root Finding for Extinction Probabilities

Near-Critical Survival Probability From a Taylor Expansion

Iterating the Offspring Generating Function