2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126823We prove that the Airy process, A(t), locally fluctuates like a Brownian motion. In the same spirit we also show that in a certain scaling limit, the so called discrete polynuclear growth (PNG) process behaves like a Brownian motion.34 pagesProbabilityMathematical Physics60G10; 60G70Local Gaussian fluctuations in the Airy and discrete PNG processestext