Infinitely ramified point measure and branching Lévy process
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
Venue:
Mathematical Institute, Woodstock Road OX2 6GG
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
