An infinitely ramified point measure is a random point measure that can be written as the terminal value of a branching random walk of any length. This is the equivalent, in branching processes theory, to the notion of infinitely divisible random variables for real-valued random variables. In this talk, we show a connexion between infinitely ramified point measures and branching Lévy processes, a continuous-time particle system on the real line, in which particles move according to independent Lévy processes, and give birth to children in a Poisson fashion.

**Date**: 28 January 2019, 12:00 (Monday, 3rd week, Hilary 2019)**Venue**: Mathematical Institute

Woodstock Road OX2 6GGSee location on maps.ox**Speaker**: Bastien Mallein (Paris 13)**Organising department**: Department of Statistics**Organisers**: Christina Goldschmidt (Department of Statistics, University of Oxford), James Martin (Department of Statistics, University of Oxford)**Part of**: Probability seminar**Booking required?**: Not required**Audience**: Public- Editors: Beverley Lane, Christina Goldschmidt