78 citations · 106 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Hammersley's process with sources and sinks
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, an isolated second-cl…