Graduate course: Fragmentation and Coagulation Processes

Course given by: Andreas Kyprianou and Simon Harris

Course content: We will try to follow Bertoin's book and selected papers as well as some background material on Crump-Mode-Jagers processes. Here is a rough outline of the material I intend to cover

Introduction to Crump-Mode-Jagers processes - some rough lecture notes (Andreas)
Definition of a fragmentation chains - from Ch1 of Bertoin (Andreas)
Homogenous fragmentation processes - from Ch3 of Bertoin (Andreas)
The intrinsic martingale and associated results - from Ch1 of Bertoin (Simon)
Exchangeable partition measures - from Ch2 (Juan Carlos)
Coalescence - special reading from Julien Berestycki
Strong and weak laws of large numbers - from research papers (Robert)
An example of a Fragmentation Process embedded in Brownian excursion (Christian)

Tue 5th Feb 14:15 - 16:15	1W 3.24 Andreas
Tue 12th Feb 14:15 - 16:15	1W 3.24 Andreas
Tue 19nd Feb 14:15 - 16:15	1W 3.24 Andreas
Tue 26th Feb 14:15 - 16:15	1W 3.24 Andreas
Tue 4th March 14:15 - 16:15	No lecture (Aachen)
Tue 11th March 14:15 - 16:15	1W 3.24 Simon
Tue 18nd March 14:15 - 16:15	Easter Break
Tue 25 March 14:15 - 16:15	Easter Break
Tue 1st April 14:15 - 16:15	Easter Break
Tue 8th April 14:15 - 16:15	1W 3.24 Simon
Tue 15th April 14:15 - 16:15	1W 3.24 Juan Carlos
NOTE!! Weds 23nd April 10:15 - 12:15	1W 3.24 - special reading from Julien Berestycki
Tue 29th April 14:15 - 16:15	1W 3.24. Juan Carlos
Tue 6th May 14:15 - 16:15	1W 3.24 Juan Carlos
Tue 13th May 14:15 - 16:15	1W 3.24 Robert
Tue 20th May 14:15 - 16:15	1W 3.24 Christian

The course is based on the following graduate text book below. However, this book is based on several of his articles which are equally useful reading: