Population dynamics of the zebra mussel (Dreissena polymorpha) in the Hudson River: settlement and post-settlement processes

Submitted in partial fulfillment of contract requirements with NOAA, Semi-Annual Report - October 2004,Report issued on: October 2004INHS Technical Report for submission to: National Oceanic and Atmospheric Administration (NOAA

Large faces in Poisson hyperplane mosaics

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