The Coupling Method for Central Moment Bounds in Exponential Last-Passage Percolation (Janosch Ortmann)
KPZ universality describes a scaling behaviour that differs from the central limit theorem by the size of the fluctuations (cube-root instead of square-root) and the limiting distribution. Instead of the Gaussian, the Tracy-Widom distributions from random matrix theory appear in the limit. It is a long standing conjecture that the KPZ universality class contains a large group of models, including particle systems and polymer models.