高斯场与随机填充
Gaussian fields and random packing
摘要：
考虑在一个大立方体中的单位球的顺序包装，就像在Renyi停车场模型中一样，但是在任何维度和泊松输入中。我们表明，适当的重新缩放后，填充球的空间分布趋于高斯场的热力学极限。我们证明了类似的结果，相关的应用模型，包括弹道沉积和空间出生生长模型。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
