Random matrices and determinantal processes
Kurt Johansson
TL;DR
This paper surveys recent advances in determinantal processes, random growth, and tilings, highlighting their connections to random matrix theory and summarizing key recent findings.
Contribution
It provides a comprehensive overview of recent developments linking determinantal processes and random matrix theory.
Findings
Determinantal processes are central to understanding random growth and tilings.
Connections between random matrix theory and combinatorial models are elucidated.
Recent results reveal new universality classes in random matrix ensembles.
Abstract
We survey recent results on determinantal processes, random growth, random tilings and their relation to random matrix theory.
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Taxonomy
TopicsRandom Matrices and Applications · Advanced Combinatorial Mathematics · Stochastic processes and statistical mechanics