23 citations · 32 across the 5 of their papers we have counts for
7 papers
Convergence of random measures in geometric probability
Mathew D. Penrose
Given independent random marked -vectors with a common density, define the measure , where is a measure (not necessarily a point measure) dete…
Exact and approximate results for deposition and annihilation processes on graphs
Mathew D. Penrose, Aidan Sudbury
We consider random sequential adsorption processes where the initially empty sites of a graph are irreversibly occupied, in random order, either by monomers which block neighboring…
Multivariate spatial central limit theorems with applications to percolation and spatial graphs
Mathew D Penrose
Suppose in is a family of i.i.d. variables in some measurable space, is a bounded set in , and for , is a measure on determined…
Normal Approximation in Geometric Probability
Mathew D. Penrose, J. E. Yukich
We use Stein's method to obtain bounds on the rate of convergence for a class of statistics in geometric probability obtained as a sum of contributions from Poisson points which ar…
On Path Integrals for the High-Dimensional Brownian Bridge
Robin Pemantle, Mathew Penrose
Let v be a bounded function with bounded support in R^d, d>=3. Let x,y in R^d. Let Z(t) denote the path integral of v along the path of a Brownian bridge in R^d which runs for time…
Weak Laws in Geometric Probability
Mathew D. Penrose, J. E. Yukich
Using a coupling argument, we establish a general weak law of large numbers for functionals of binomial point processes in d-dimensional space, with a limit that depends explicitly…