Construction of the Thermodynamic Jamming Limit for the Parking Process and Other Exclusion Schemes on {\mathbb Z}^{d}期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Construction of the Thermodynamic Jamming Limit for the Parking Process and Other Exclusion Schemes on {\mathbb Z}^{d}

Authors:	Thomas Logan Ritchie

Institution:	1. Instituto de Matemática e Estatística, Universidade de S?o, Paulo Rua do Mat?o 1010, S?o Paulo SP, CEP 05508-900, Brazil

Abstract:	We provide an explicit construction of the thermodynamic jamming limit for the parking process and other finite range exclusion schemes on ${\mathbb Z}^{d}$ . By means thereof, a strong law of large numbers for occupation densities is accomplished, and, amongst other results, the so called “super-exponential” (i.e. gamma) decay of pair correlation functions is established. Mathematics Subject Classification (1991): 60K99

Keywords:	Random sequential adsorption (RSA) Parking process Pair correlation functions Super-exponential decay Thermodynamic limit Perfect simulation Multidimensional ergodic theorem
本文献已被 SpringerLink 等数据库收录！