Construction of the Thermodynamic Jamming Limit for the Parking Process and Other Exclusion Schemes on Zd

Abstract

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