Corners and Records of the Poisson Process in Quadrant
Alexander Gnedin, Utrecht University
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
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