Abstract
We introduce k-step exclusion processes as generalizations of the simple exclusion process. We state their main equilibrium properties when the underlying stochastic matrix corresponds to a random walk or is positive recurrent and reversible. Finally, we prove laws of large numbers for tagged and second-class particles
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Guiol, H. Some Properties of k-Step Exclusion Processes. Journal of Statistical Physics 94, 495–511 (1999). https://doi.org/10.1023/A:1004548321062
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DOI: https://doi.org/10.1023/A:1004548321062