Probability Seminar Essen

Winterterm 2023-24

March 20

Yannik Dickopf (University of Cologne)
Galton-Watson processes with infinite offspring mean

Abstract: In this talk we consider Galton-Watson processes $(Z_n)_{n\in\mathbb{N}_0}$ with infinite offspring mean. In particalur, we will derive a lower bound for the process $(\log(\log(Z_n))/n)_{n\in\mathbb{N}_0}$, under the assumption that the offspring distribution belongs to the domain of attraction of a stable distribution, and compute the percolation critical exponent in Galton-Watson trees whose offspring distributions have a power-law exponent $\alpha\in(1,2)$. This talk is based on my master's thesis, which was supervised by Peter Mörters.


Talks of previous terms.


Tuesdays, 16:15–17:15


Organizer: Anita Winter