Local Gaussian fluctuations in the Airy and discrete PNG processes
Probability
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
We 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.
Cite
@article{arxiv.math/0701880,
title = {Local Gaussian fluctuations in the Airy and discrete PNG processes},
author = {Jonas Hägg},
journal= {arXiv preprint arXiv:math/0701880},
year = {2007}
}
Comments
34 pages