Prof. Dr. Benedikt Stufler

Simulations: Condensation in simply generated trees


A subcritical Galton-Watson tree whose offspring distribution lies in the domain of attraction of a 1.5-stable distribution and has average value 0.75 (conditioned on having 50k vertices)

A subcritical Galton-Watson tree whose offspring distribution lies in the domain of attraction of a 1.5-stable distribution and has average value 0.75 (conditioned on having 100k vertices)


A subcritical Galton-Watson tree whose offspring distribution lies in the domain of attraction of a 1.5-stable distribution and has average value 0.5 (conditioned on having 50k vertices)

A subcritical Galton-Watson tree whose offspring distribution lies in the domain of attraction of a 1.5-stable distribution and has average value 0.5 (conditioned on having 100k vertices)


A critical Galton-Watson tree whose offspring distribution lies in the domain of attraction of a Cauchy distribution (conditioned on having 100k vertices)

A critical Galton-Watson tree whose offspring distribution lies in the domain of attraction of a Cauchy distribution (conditioned on having 200k vertices)