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Foto: Matthias Friel

Integrable probability and the longest increasing subsequence - Einzelansicht

Veranstaltungsart Seminar Veranstaltungsnummer
SWS 2 Semester WiSe 2022/23
Einrichtung Institut für Mathematik   Sprache englisch
Belegungsfrist 04.10.2022 - 10.11.2022

Belegung über PULS
Gruppe 1:
     jetzt belegen / abmelden
    Tag Zeit Rhythmus Dauer Raum Lehrperson Ausfall-/Ausweichtermine Max. Teilnehmer/-innen
Blockseminar -  bis  Block am   Prof. Dr. Roelly  
  Bemerkung: The seminar will be led by Prof. Roelly's designated successor, Dr. Peter Nejjar to be held.
Kommentar

 

Literatur

Dan Romik's book: 

"The Surprising Mathematics of Longest Increasing Subsequences"

Voraussetzungen

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

Lerninhalte


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.

Zielgruppe

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.


Strukturbaum
Keine Einordnung ins Vorlesungsverzeichnis vorhanden. Veranstaltung ist aus dem Semester WiSe 2022/23 , Aktuelles Semester: WiSe 2023/24