Hinweis: Diese Veranstaltung wird im Sommersemester 2013 in englischer Sprache durchgeführt. Das betrifft insbesondere die Vorlesung sowie die Hausaufgaben. Aus diesem Grund stellen wir fast alle Informationen nur in englischer Sprache zur Verfügung.

Branching Processes im Sommersemester 2013

Dates: Wednesdays, 10:15 to 11:45 in room 5609.EG.022 (Übungsraum 00.09.022) at Boltzmannstr. 3 at FMI-Building at Garching Forschungszentrum.
Start: 17th April 2013
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.

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 examinations will take place on 25 July and 27 August 2013. Please contact Wyonie Zangl to arrange an appointment.
Exercise classes:
Dates of classes:

Group 1: Wednesdays, 14:15-15:45 in room 03.10.011, Seminarraum M4/M5/M13 (5610.03.011) in Garching Forschungszentrum
Start: 24th April 2013

Group 2: Wednesdays, 18:30-20:00 in room 0506.02.601, Arcisstr. 21, 2.OG, Munich
Start: 29th May 2013

Both exercise classes take place every two weeks. Group 2 additionally meets on 10th July.

Organisation of classes: Felizitas Weidner
Exercise sheets:
Sheet 1 Sheet 2 Sheet 3 Sheet 4 Sheet 5
Sheet 6          

If you have any questions concerning the exercise classes, please contact Felizitas Weidner.