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

Details Construction of the Thermodynamic Jamming Limit for the Parking Process and Other Exclusion Schemes on Z^d Construction of the Thermodynamic Jamming Limit for the Parking Process and Other Exclusion Schemes on Z^d

2004-12-17

arxiv.org/abs/math/0412343v2

Mathematics

Probability

18 pages

Scientific paper

We provide an explicit construction of the thermodynamic jamming limit for
the parking process and other finite range exclusion schemes on 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.

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