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250115 VO Exploring Random Genealogies (2023W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

ON-SITE

Moodle

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: English

Examination dates

Lecturers

Emmanuel Schertzer

Classes (iCal) - next class is marked with N

Monday 02.10. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 03.10. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 09.10. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 10.10. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 16.10. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 17.10. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 23.10. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 24.10. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 30.10. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 31.10. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 06.11. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 07.11. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 13.11. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 14.11. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 20.11. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 21.11. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 27.11. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 28.11. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 04.12. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 05.12. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 11.12. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 12.12. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 08.01. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 09.01. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 15.01. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 16.01. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 22.01. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 23.01. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Monday 29.01. 16:45 - 18:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 30.01. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

This course primarily centers on the examination of the genealogical structure within asexual populations. Driven by its wide-ranging utility in fields like population dynamics, including population genetics and epidemiology, significant progress has emerged in this domain over the past two decades. The course's overarching goal is to impart an understanding of these sophisticated concepts, spanning from general branching processes to coalescent theory. Moreover, in addition to this mathematical exploration, we will delve into several models that can be decoded utilizing this approach.

Assessment and permitted materials

Oral exam

Minimum requirements and assessment criteria

The course will have a strong emphasis on fundamental principles within the field of Probability Theory : (1) limiting laws (Law of large numbers, central limit theorem) (2) stochastic processes (random walks, discrete and continuous time Markov chains, basic knowledge on Brownian motion)

Examination topics

Reading list

Reading material will be posted on Moodle.

Association in the course directory

MBIV; MSTV

Last modified: Mo 28.10.2024 17:06