Large faces in Poisson hyperplane mosaics

Details Large faces in Poisson hyperplane mosaics Large faces in Poisson hyperplane mosaics

2010-10-12

arxiv.org/abs/1010.2333v1

Annals of Probability 2010, Vol. 38, No. 3, 1320-1344

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/09-AOP510 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/09-AOP510

A generalized version of a well-known problem of D. G. Kendall states that the zero cell of a stationary Poisson hyperplane tessellation in ${\mathbb{R}}^d$, under the condition that it has large volume, approximates with high probability a certain definite shape, which is determined by the directional distribution of the underlying hyperplane process. This result is extended here to typical $k$-faces of the tessellation, for $k\in\{2,...,d-1\}$. This requires the additional condition that the direction of the face be in a sufficiently small neighbourhood of a given direction.

Affiliated with

Also associated with

No associations

Rating

Large faces in Poisson hyperplane mosaics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Large faces in Poisson hyperplane mosaics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large faces in Poisson hyperplane mosaics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-608278