J. E. Yukich

most citedGaussian limits for random measures in geometric probability

107 citations · 111 across the 3 of their papers we have counts for

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math.PR2005★ 4 cited

Singularity points for first passage percolation

J. E. Yukich, Yu Zhang

Let $0 < a < b < \infty$ be fixed scalars. Assign independently to each edge in the lattice $Z^{2}$ the value $a$ with probability $p$ or the value $b$ with probability $1 - p$ . For…

math.PR2005★ 107 cited

Gaussian limits for random measures in geometric probability

Yu. Baryshnikov, J. E. Yukich

We establish Gaussian limits for general measures induced by binomial and Poisson point processes in d-dimensional space. The limiting Gaussian field has a covariance functional wh…

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…