Oberseminar Wahrscheinlichkeitstheorie
Joint research seminar of LMU and TUM in Probability Theory
Students and guests welcome.
Organizers:
Noam
Berger (TUM),
Nina
Gantert
(TUM),
Konstantinos Panagiotou (LMU),
Markus
Heydenreich (LMU),
Sabine
Jansen (LMU),
Franz Merkl
(LMU),
Silke
Rolles (TUM)
Upcoming talks:
| Mon 29 Apr 2024, 16:30: Niklas Latz Pathwise duality of interacting particle systems |
| In the study of Markov processes duality is an important tool used to prove various types of long-time behavior. There exist two approaches to Markov process duality: the algebraic one and the pathwise one. Using the well-known contact process as an example, this talk introduces the general idea of how to construct a pathwise duality for an interacting particle system. Afterwards, several different approaches how to construct pathwise dualities are presented. This is joint work with Jan M. Swart. |
| Parkring 11, Garching-Hochbrück. Room 2.01.10 |
| Mon 6 May 2024, 16:30: Tai Melcher TBA |
| TBA |
| Parkring 11, Garching-Hochbrück. Room 2.01.10 |
| Mon 13 May 2024, 16:30: Stein Andreas Bethuelsen TBA |
| TBA |
| Parkring 11, Garching-Hochbrück. Room 2.01.10 |
| Mon 27 May 2024, 16:30: Julius Hallmann Asymptotic Analysis of Randomized Epidemic Processes |
| This talk is concerned with the following epidemic process: A set of nodes is partitioned into three states: susceptible, infectious, and recovered. We start with a single infectious node. Proceeding in rounds whose length is antiproportional to the population size, a fixed amount of nodes are drawn independently at random. If at least one of the selected nodes is infectious, every susceptible node in the sample becomes infected. Moreover, any infectious vertex recovers independently at a constant rate. If the expected amount of infections caused by single node is less than one, the epidemic dies out quickly and leaves almost the entire population untouched. If it is above one, either the infection dies out quickly or a large outbreak occurs, during which a non-vanishing fraction of the population is affected. Moreover, if enough nodes are infectious at the same time, the system’s behaviour is essentially deterministic. |
| Theresienstr. 39, München. Room B 252 |
| Mon 17 Jun 2024, 16:30: Timo Vilkas TBA |
| TBA |
| Parkring 11, Garching-Hochbrück. Room 2.01.10 |