Topic: Galton-Watson Branching Processes

Geometric Offspring Laws and Their Generating Functions

Galton-Watson Generations and Family Trees

Extinction Probability as a Fixed Point

Extinction in the Subcritical Case

Extinction at Criticality

Expected Population Sizes Across Generations

Exact Extinction Calculations for Finite Offspring Laws

Equal Offspring Means Can Give Different Extinction Risks

Deriving the Variance Recursion

Deriving the Mean Population Recursion