2001/06/08 by Mathew D. Penrose, Mathew D Penrose, J. E. Yukich +1 · 2 citations
Mathematics · Physics and Astronomy · #Point processes and geometric inequalities #Random Matrices and Applications #Stochastic processes and statistical mechanics #cond-mat.stat-mech #math.PR
paper · pdf · doi:10.1088/0305-4470/34/32/303
12 pages
arxiv created 2001/06/08 · openalex publication_date 2001/08/03 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We establish a thermodynamic limit and Gaussian fluctuations for the height and surface width of the random interface formed by the deposition of particles on surfaces. The results hold for the standard ballistic deposition model as well as the surface relaxation model in the off-lattice setting. The results are proved with the aid of general limit theorems for stabilizing functionals of marked Poisson point processes.