Stochastic modelling of the time evolution of genealogies
- Date
- Jul 10, 2013
- Time
- 5:00 PM - 6:00 PM
- Speaker
- Prof. Dr. Andreas Greven
- Affiliation
- Universität Erlangen-Nürnberg, Lehrstuhl für Stochastik
- Series
- TUD Dresdner Mathematisches Seminar
- Language
- de
- Main Topic
- Mathematik
- Other Topics
- Mathematik
- Host
- Prof. Dr. R. Schilling
- Description
- The talk explains how genealogies of the individuals of a spatial population currently alive can be modelled by extended marked ultrametric measure spaces. This leads to stochastic processes in the isomorphy classes of such spaces. The process which can be defined via wellposed martingale problems. On the basis of such a characterization it is possible to address rigorously some old questions, as for example whether under selection genealogical distances tend to be smaller. The talk is based on a series of papers jointly with A. Depperschmidt, P. Pfaffelhuber and A. Winter.
- Links
Last modified: Mar 15, 2013, 6:50:49 PM
Location
TUD Willers-Bau (WIL C 307)Zellescher Weg12-1401069Dresden
- Homepage
- https://navigator.tu-dresden.de/etplan/wil/00
Organizer
TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
- Phone
- 49-351-463 33376
- Homepage
- http://tu-dresden.de/mathematik
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