In this course, we will present modern topics at the interface between probability and geometric group theory. We will be mainly focused on the random walk, and discuss its behavior depending on the geometric properties of the underlying graph.
Objective
Prerequisites / Notice
- Probability Theory. - Basic properties of Markov Chains. - No prerequisite on group theory, all the background will be introduced in class.
Performance assessment
Performance assessment information (valid until the course unit is held again)
The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Admission requirement
Because there is a big overlap with the course unit 401-4597-67L Probability on Transitive Graphs offered in the Autumn Semester 2017, students who got credits for the former course unit cannot get credits again.
Mode of examination
oral 20 minutes
This information can be updated until the beginning of the semester; information on the examination timetable is binding.
Performance assessment as a semester course