How to cite item

A Universality Property for Last-Passage Percolation Paths Close to the Axis

   
@article{ECP1139,
	author = {Thierry Bodineau and James Martin},
	title = {A Universality Property for Last-Passage Percolation Paths Close to the Axis},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	abstract = {We consider a last-passage directed percolation model in $Z_+^2$, with i.i.d. weights whose common distribution has a finite $(2+p)$th moment. We study the fluctuations of the passage time from the origin to the point $(n,n^a)$. We show that, for suitable $a$ (depending on $p$), this quantity, appropriately scaled, converges in distribution as $n\to\infty$ to the Tracy-Widom distribution, irrespective of the underlying weight distribution. The argument uses a coupling to a Brownian directed percolation problem and the strong approximation of Komlós, Major and Tusnády.},
	pages = {no. 11, 105-112},
	issn = {1083-589X},
	doi = {10.1214/ECP.v10-1139},    
        url = {http://ecp.ejpecp.org/article/view/1139}}