204 citations · 636 across the 40 of their papers we have counts for
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math.PR2006
Behavior of a second class particle in Hammersley's process
Eric Cator, Sergei Dobrynin
In the case of a rarefaction fan in a non-stationary Hammersley process, we explicitly calculate the asymptotic behavior of the process as we move out along a ray, and the asymptot…
math.PR2006
Cube root fluctuations for the corner growth model associated to the exclusion process
Marton Balazs, Eric Cator, Timo Seppalainen
We study the last-passage growth model on the planar integer lattice with exponential weights. With boundary conditions that represent the equilibrium exclusion process as seen fro…
math.PR2006★ 78 cited
Second class particles and cube root asymptotics for Hammersley's process
Eric Cator, Piet Groeneboom
We show that, for a stationary version of Hammersley's process, with Poisson sources on the positive x-axis and Poisson sinks on the positive y-axis, the variance of the length of…