Update March 4, 2024

Jitsi Meet, the FOSS alternative to proprietary video conference solutions, is no longer used by me. As I was the only one that used it, it is no longer worth while to maintain the server.

Up to and including the exam on March 13, material for the exams in Measure and Probability Theory 2, is retsricted to chapters 6 to 12 in the lecture notes plus the basic definitions and the law of the iterated logarithm from chapter 13.

Office Hours

Office hours:  Wed 10-11, Thu 12:30-13:30 also on TUChat, opens an external URL in a new window or by appointment.

Preferred channel of communications is e-mail.


Exams in Measure and Probability

Exams in Measure and Probability are, in principle, both oral and written. While Corona rules impose restrictions on in-house written exams, exams for lecture semesters 2021 and later will be oral only.

Now (February 2024) Corona restrictions have been lifted to the extent that made it possible to announce written exams again. Therefore, since April 2022 exams are in written and oral mode again (until further notice). The precise format is as it was before Corona restrictions: in the written part you will be given four problems, a mixture of theory and “applications”, some selected theorems with proofs (see problem collection and list of proofs below), the oral part focusses on theory: important theorems and definitions, no detailed proofs, maybe one or the other idea of proof – the review questions at the end of each chapter should give you an idea of how exam questions look, but by no means these should be considered an exhaustive list.

Probability and Stochastic Processes for Computer Science

will only have oral exams during the Corona period and afterwards, as the TISS announcement says. This, of course, means a shift in the theoretical direction. If you have successfully taken the written part already, it is still valid, and the oral exam will be less detailed than without.

Oral exams

Oral exams are offered in person or online via zoom. If you wish to use the zoom option, please contact You will be given the link for the exam a day in advance.

After big written exams, "official" oral exams will be announced in TISS. Apart from those, and for the "small" courses, please contact me by e-mail for an individual appointment

As for the procedure:

  • In the beginning, you must present your ID.
  • Oral exams are public by law, so you are free to invite observers, and persons interested in watching an exam can also contact me. Any observer must be announced to me, there is a limit of at most ten persons watching, persons physically present in the room where the exam takes place must stay visible during the entire exam, and those watching over internet must turn their cameras and microphones off.