## TAU:0365-3211 |
## Student seminar in probability | ## 2007/2008, sem. 2 |

- Instructor
- Prof. Boris Tsirelson (School of Mathematical Sciences).
- Time and place
- Sunday 17-19, Dan David 204.
- Prerequisites
- Probability theory, or Introduction to random processes.
- Grading policy
- Based on oral reports and written abstracts.

- More than 300 proofs of Pythagorean theorem are collected.
(Hint.)
What about the Central Limit Theorem (CLT)?
Let us collect and compare as many proofs of CLT as we can.
(Hint.)

In addition, we may consider (a) lacunary trigonometric series (Hint.) and (b) moderate deviations. - Random walk is recurrent in dimension 2 (and 1), but transient in dimension 3 (and more). Let us collect and compare as many proofs of this fact as we can. (Hint.)