18–21 Apr 2024
WFAIS UJ
Europe/Zurich timezone

Free probability

20 Apr 2024, 18:30
40m
Auditorium Maximum

Auditorium Maximum

Krupnicza 33, 31-123 Kraków
Poster

Speaker

Mr Łukasz Gorczyca (Faculty of Mathematics and Computer Science, Jagiellonian University in Kraków, Poland)

Description

Free probability theory is a relatively young field of mathematics. It is nearly 40 years old and is a connection between random matrices and von Neumann algebras. In the poster, I will present the basic definitions of this theory, in particular the concept of freeness and its properties. I will also present elements of combinatorial theory of freeness, where Catalan numbers, well-known in discrete mathematics, appear. The poster will also make room for a presentation of the free equivalent from classical probability theory for the central limit theorem.

Field Mathematics
Length Poster

Author

Mr Łukasz Gorczyca (Faculty of Mathematics and Computer Science, Jagiellonian University in Kraków, Poland)

Presentation materials

There are no materials yet.