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On the average of the Airy process and its time reversal

   
@article{ECP2952,
	author = {Jinho Baik and Zhipeng Liu},
	title = {On the average of the Airy process and its time reversal},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {},
	abstract = {We show that the supremum of the average of the Airy process and its time reversal minus a parabola is distributed as the maximum of two independent GUE Tracy-Widom random variables. The proof is obtained by considering a directed last passage percolation model with a rotational symmetry in two different ways. We also review other known identities between the Airy process and the Tracy-Widom distributions.},
	pages = {no. 89, 1-10},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-2952},    
        url = {http://ecp.ejpecp.org/article/view/2952}}