Toeplitz determinants, random growth and determinantal processes
Kurt Johansson
TL;DR
This paper reviews recent connections between combinatorial problems in random growth and random matrix theory, highlighting the role of Toeplitz determinants and determinantal processes in these links.
Contribution
It synthesizes recent advances showing how combinatorial models relate to random matrix theory through Toeplitz determinants and determinantal processes.
Findings
Link established between random growth models and random matrix theory
Role of Toeplitz determinants in combinatorial problems
Determinantal processes as a unifying framework
Abstract
We summarize some of the recent developments which link certain problems in combinatorial theory related to random growth to random matrix theory.
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Taxonomy
TopicsRandom Matrices and Applications · Advanced Combinatorial Mathematics · Stochastic processes and statistical mechanics