107 citations · 111 across the 3 of their papers we have counts for
5 papers · 1 filter
Singularity points for first passage percolation
J. E. Yukich, Yu Zhang
Let be fixed scalars. Assign independently to each edge in the lattice the value with probability or the value with probability . For…
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…
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…
Gaussian fields and random packing
Yu. Baryshnikov, J. E. Yukich
Consider sequential packing of unit balls in a large cube, as in the Renyi car-parking model, but in any dimension and with Poisson input. We show after suitable rescaling that the…
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…