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Probability Seminar: Emma Horton - Genealogies of branching Markov processes

Dates:19 March 2025
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
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  • In group "(Maths) Probability and statistics"
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Emma Horton (University of Warwick) will speak at the Probability seminar.

Title: Genealogies of branching Markov processes

Abstract: Branching processes are pertinent to understanding many different real world processes such as cell division, population growth and neutron transport. In particular, understanding their genealogical structures can prove useful for parameter estimation, Monte Carlo simulations and scaling limits. In this talk, I will discuss a decomposition of branching processes known as the spine decomposition, which allows one to understand the genealogies of conditioned branching processes in terms of a reduced tree of biased particles. I will then discuss some applications of this decomposition.

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Jose Pedraza Ramirez

jose.pedrazaramirez@manchester.ac.uk

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