Interacting particles, growth models and random matrices

Type: 
Doctoral Defense
Audience: 
Open to the Public
Building: 
Zrinyi u. 14
Room: 
310/A
Wednesday, January 21, 2015 - 2:00pm
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Date: 
Wednesday, January 21, 2015 - 2:00pm

Abstract: We introduce an interacting particle model which evolves
randomly according to simple local rules. A height function is
naturally associated to the particle system, hence it can serve as a
model for interface growth. We are mainly interested in the
fluctuations of the height. Its limiting distribution and statistics
under a special scaling are known from random matrix theory. The aim
of the talk is to explain the reason why particle systems and random
matrices are related.