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Some Properties of k-Step Exclusion Processes |
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| Authors: | Guiol H |
| Institution: | (1) IMECC, Universidade de Campinas, Caixa Postal 6065, CEP 13053-970 Campinas, SP, Brazi |
| 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 |
| Keywords: | interacting particle systems invariant measures tagged particle second-class particle exclusion process k-step exclusion process |
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