General information
| Course name | Vorlesung + Übung: Advanced Discrete Probability (Fortgeschrittene Themen der diskreten Wahrscheinlichkeitstheorie) |
| Course number | MTH-2700 |
| Semester | WS 2023/24 |
| Current number of participants | 18 |
| Home institute | Stochastik und ihre Anwendungen |
| Courses type | Vorlesung + Übung in category Teaching |
| First date | Thursday, 19.10.2023 15:45 - 17:15, Room: (1008/L) |
| Participants | The course is open to Master students of Mathematics, Wi-Mathe, MRM, Data Science. Perfectly suited for Math + Computer Science track, also interested PhD students are welcome to attend. |
| Pre-requisites | Probability (e.g. Stochastik I/II) + Linear Algebra. |
| Learning organisation | Two lectures per week plus exercise session |
| Veranstaltung findet in Präsenz statt / hat Präsenz-Bestandteile | Yes |
| Hauptunterrichtssprache | englisch |
| Literaturhinweise |
[LPW] L. Levin, Y. Peres, E. Wilmers: Markov chains and mixing times. Second edition. AMS 2018. [Gri] G. Grimmett: Probability on graphs. Second edition. Cambridge University Press 2018. [LP] R. Lyons, Y. Peres: Probability on graphs and networks. Cambridge University Press 2016. [DC] H. Duminil-Copin: Introduction to percolation theory. Lecture notes 2017. [HH] M. Heydenreich, R. van der Hofstad: Progress in high-dimensional percolation and random graphs. Springer 2017. [Hof] R. van der Hofstad: Random graphs and complex networks. Cambridge University Press 2017. [Gri99] G. Grimmett: Percolation. Second Edition. Springer 1999. [KP] J. Komjathy and Y. Peres: Topics in Markov chains: Mixing and escape rate. Proceedings of Symposia in Pure Mathematics, Volume 91. AMS 2016. [Häg] O. Häggström: Finite Markov Chains and Algorithmic Applicatons, LMS Student Texts 52, Cambridge University Press 2002. Note: The sources [LPW], [Gri], [LP], [DC], [Hof] are available as linked pdf on author's homepages. |
