Dear All

You are welcome to attend the following Statistics and Stochastic colloquium (part of the Colloquium Series of the Department of Mathematics and Statistics) at La Trobe University. Please forward the information to colleagues who may be interested in this talk.

Title: Lambda coalescent trees and graphs
Speaker: Prof Robert Griffiths, Monash University
Time & Date: 11:00am (Melbourne time) Thursday 30 April 2020
Venue: zoom meeting, see the details below.

Abstract:
The Lambda coalescent introduced by Pitman (1999) and Sagitov (1999) is a random tree which has multiple mergers. It is a dual to a Lambda-Fleming-Viot process which describes a population of individuals with births and deaths, where a single individual's children can contribute a large proportion of the population. The population process has jumps at times where individuals give birth. The Wright-Fisher diffusion in contrast, being  a diffusion, is continuous over time. The Kingman coalescent, a random binary tree,  is dual to the Wright-Fisher diffusion. This talk will describe Lambda coalescent trees, how they relate to a population of individuals, and a connection with the Wright-Fisher diffusion.

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