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# Krishna Athreya : Coalescence in Galton-Watson trees

Consider a Galton-Watson tree. Pick two individuals at random by simple random sampling from the nth generation and trace heir lines of descent back in time till they meet. Call that generation X_n. In this talk we will discuss the probability distribution of X_n and its limits for the four cases m <1, m=1, m greater than 1 but finite, and m infinite, where m is the mean offspring size.

**Category**: Probability**Duration**: 01:44:55**Date**: October 28, 2010 at 4:10 PM**Views**: 189-
**Tags:**seminar, Probability Seminar

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