Allgemeine Informationen
| Veranstaltungsname | Vorlesung + Übung: Advanced Discrete Probability (Fortgeschrittene Themen der diskreten Wahrscheinlichkeitstheorie) |
| Veranstaltungsnummer | MTH-2700, MTH-2708 |
| Semester | WS 2025/26 |
| Aktuelle Anzahl der Teilnehmenden | 9 |
| Heimat-Einrichtung | Stochastik und ihre Anwendungen |
| Veranstaltungstyp | Vorlesung + Übung in der Kategorie Lehre |
| Nächster Termin | Dienstag, 09.12.2025 12:15 - 13:45, Ort: (L/1009) |
| Teilnehmende | 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. |
| Voraussetzungen | Probability (e.g. Stochastik I/II) + Linear Algebra. |
| Lernorganisation | Two lectures per week plus exercise session |
| Leistungsnachweis | Oral exam |
| Veranstaltung findet in Präsenz statt / hat Präsenz-Bestandteile | Ja |
| 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. |
| Sonstiges | For further information see https://sites.google.com/view/dominik-schmid/advanced-discrete-probability |
