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77600-01 - Lecture: Selected Topics in Probability Theory (8 CP)
| Semester | spring semester 2026 |
| Further events belonging to these CP |
77600-01 (Lecture) 77600-02 (Practical course) |
| Course frequency | Irregular |
| Lecturers | Jiří Černý (jiri.cerny@unibas.ch, Assessor) |
| Content | This is the second part of the master course in Probability Theory. It will mostly be independent of the first part and will focus on several models on the boundary of probabiity theory and statistical mechanics. The selection of topics include: - Percolation theory - Random walks on random graphs and related potential theory, leading to heat kernel bounds - Gaussian free field |
| Learning objectives | Familiarity with the models discussed in the lecture and used techniques. |
| Bibliography | Percolation: - H. Duminil-Copin: Introduction to percolation theory (https://www.ihes.fr/~duminil/teaching.html) - G.Grimmett: Percolation, Springer 2000 - G.Grimmett: Probability on Graphs 2010 Random walks on graphs: - M. Barlow: Random Walks and Heat Kernels on Graphs, CUP 2017 GFF: A.-S. Sznitman, Topics in occupation times and the Gaussian free field, EMS 2012 Brief lecture notes will be provided duting the course |
| Admission requirements | Probabiity Theory is recommended. |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Course auditors welcome |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Monday | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| wöchentlich | Tuesday | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
Dates
| Date | Time | Room |
|---|---|---|
| Monday 16.02.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| Tuesday 17.02.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 23.02.2026 | 10.15-12.00 | Fasnachtsferien |
| Tuesday 24.02.2026 | 08.15-10.00 | Fasnachtsferien |
| Monday 02.03.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| Tuesday 03.03.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 09.03.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| Tuesday 10.03.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 16.03.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| Tuesday 17.03.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 23.03.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| Tuesday 24.03.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 30.03.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| Tuesday 31.03.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 06.04.2026 | 10.15-12.00 | Ostern |
| Tuesday 07.04.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 13.04.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| Tuesday 14.04.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 20.04.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| Tuesday 21.04.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 27.04.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| Tuesday 28.04.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 04.05.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| Tuesday 05.05.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 11.05.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| Tuesday 12.05.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 18.05.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 119 |
| Tuesday 19.05.2026 | 08.15-10.00 | Kollegienhaus, Hörsaal 119 |
| Monday 25.05.2026 | 10.15-12.00 | Pfingstmontag |
| Modules |
Module Specialisation: Stochastics (Master's Studies: Mathematics) Module: Statistics and Computational Science (Master's Studies: Actuarial Science) |
| Assessment format | continuous assessment |
| Assessment details | Active participation on exercise classes, solving homeworks. |
| Assessment registration/deregistration | Reg.: course registration, dereg: cancel course registration |
| Repeat examination | no repeat examination |
| Scale | Pass / Fail |
| Repeated registration | as often as necessary |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Fachbereich Mathematik |