Branching Processes in summer term 2012

Lecture:
Dates:

The lecture has already taken place.

Instructor: Prof. Dr. Nina Gantert
Prerequisites:

Probability Theory (compulsory), further knowledge in advanced probaility theory is recommended (e.g. Stochastic Analysis)

A link to the lecture notes of Prof. Gantert's Probability Theory lecture is available here.

Content:

Branching processes are stochastic population models based on an explicit description of the individual lifespan and reproduction. The basic assumption is that the individuals live and reproduce independently and identically in distribution. Further, there exist numerous extensions and generalizations of the basic model, such as models with immigration, continuous-time and multi-type models.

At the end of the course, the participants are supposed to be familiar with some of the models used in mathematical biology and to be able to analyse them with probabilistic tools.

Literature:

T. E. Harris: The Theory of Branching Processes,
Dover Publications (2002).

K. B. Athreya, P. E. Ney: Branching Processes,
Dover Publications (2004).

P. Jagers: Branching processes with biological applications,
Wiley-Interscience [John Wiley & Sons] (1975).

A. Etheridge: Some mathematical models from population genetics,
in Lecture Notes in Mathematics, Springer (2011).

Table of contents: A table of contents of the lecture is available here.
Final exam:
Assessment regime:

oral exams

Exercise classes:
Dates of classes:

The exercise classes have already taken place.

Organisation of classes: Christian Bartsch 
Exercise sheets (mostly in German):
Sheet 1 Sheet 2 Sheet 3 Sheet 4 Sheet 5 Sheet 6

 

If you have any questions concerning the exercise classes, please contact Christian Bartsch.