Integrable probability and the longest increasing subsequence - Einzelansicht

Dan Romik's book: 

"The Surprising Mathematics of Longest Increasing Subsequences"

Prerequisites for this seminar are basic knowledge in analysis, linear algebra, and probability (in particular, students need to know the central limit theorem). 

Two pillars of probability theory are the law of large numbers (LLN) ,  as well as the  central limit theorem (CLT), where the gaussian distribution appears as universal limit.
In this seminar, we will deal with situations where  highly non-standard variants of both the LLN and the CLT appear. The most prominent example is that of the longest increasing subsequence of a random permutation.
We will be using (among other sources) Dan Romik's book: 

"The Surprising Mathematics of Longest Increasing Subsequences", which is freely available on his webpage.

This seminar  is appropriate for Master students in Mathematics and for advanced Bachelor students in Mathematics.

Interested students of other disciplines are of course also very welcome.