23 citations · 32 across the 5 of their papers we have counts for
Showing 2004 · math.PRShow all
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math.PR2004★ 1 cited
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…
math.PR2004
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…
math.PR2004
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…