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math.PR2022★ 8 cited
Differential equations for the KPZ and periodic KPZ fixed points
Jinho Baik, Andrei Prokhorov, Guilherme L. F. Silva
The KPZ fixed point is a 2d random field, conjectured to be the universal limiting fluctuation field for the height function of models in the KPZ universality class. Similarly, the…
math.PR2022★ 4 cited
KPZ limit theorems
Jinho Baik
One-dimensional interacting particle systems, 1+1 random growth models, and two-dimensional directed polymers define 2d height fields. The KPZ universality conjecture posits that a…