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

Thomas Logan Ritchie
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Abstract

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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Thomas Logan Ritchie. 2004-12-22. Construction of the Thermodynamic Jamming Limit for the Parking Process and Other Exclusion Schemes on Z^d. https://arxiv.org/abs/math/0412343

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