14 citations · 14 across the 1 of their papers we have counts for
3 papers
math.PR2005★ 14 cited
Random growth models with polygonal shapes
Janko Gravner, David Griffeath
We consider discrete-time random perturbations of monotone cellular automata (CA) in two dimensions. Under general conditions, we prove the existence of half-space velocities, and…
math.PR2001
Fluctuations in the composite regime of a disordered growth model
Janko Gravner, Craig A. Tracy, Harold Widom
We continue to study a model of disordered interface growth in two dimensions. The interface is given by a height function on the sites of the one--dimensional integer lattice and…
math.PR2000
A growth model in a random environment
Janko Gravner, Craig A. Tracy, Harold Widom
We consider a model of interface growth in two dimensions, given by a height function on the sites of the one--dimensional integer lattice. According to the discrete time update ru…