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Corners and Records of the Poisson Process in Quadrant

   
@article{ECP1351,
	author = {Alexander Gnedin},
	title = {Corners and Records of the Poisson Process in Quadrant},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {13},
	year = {2008},
	keywords = {\$k\$-records, \$k\$-corners, self-similar Poisson process, Ignatov's theorem},
	abstract = {The scale-invariant spacings lemma due to  Arratia, Barbour and Tavaré establishes the distributional identity of   a self-similar Poisson process and the set of   spacings between the points of this process.  In this note we connect this result with properties of a certain set of extreme points  of the unit Poisson process in the  positive quadrant},
	pages = {no. 18, 187-193},
	issn = {1083-589X},
	doi = {10.1214/ECP.v13-1351},    
        url = {http://ecp.ejpecp.org/article/view/1351}}