2002/02/07 by Yuliy Baryshnikov, Yu. Baryshnikov, Baryshnikov, Yu. +2
Computer Science · Mathematics · Physics and Astronomy · #82C21 (primary) 60F05 (secondary) #Bayesian Methods and Mixture Models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Point processes and geometric inequalities #Probability (math.PR) #Stochastic processes and statistical mechanics #math-ph #math.MP #math.PR #msc:60F05 #msc:82C21
paper · pdf · doi:10.48550/arxiv.math/0202063
22 pages
arxiv created 2002/02/07 · openalex publication_date 2002/02/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 spatial distribution of packed balls tends to that of a Gaussian field in the thermodynamic limit. We prove analogous results for related applied models, including ballistic deposition and spatial birth-growth models.