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Liggett, Thomas M.

Ergodic theorems for the asymmetric simple exclusion process. (English) Zbl 0322.60086

Trans. Am. Math. Soc. 213, 237-261 (1975).
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Cited in 1 Review
Cited in 53 Documents

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
47A35 Ergodic theory of linear operators
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References:

[1] Richard Holley, A class of interactions in an infinite particle system, Advances in Math. 5 (1970), 291 – 309 (1970). · Zbl 0219.60054 · doi:10.1016/0001-8708(70)90035-6
[2] Richard Holley, Pressure and Helmholtz free energy in a dynamic model of a lattice gas, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ. California, Berkeley, Calif., 1970/1971) Univ. California Press, Berkeley, Calif., 1972, pp. 565 – 578.
[3] Thomas M. Liggett, A characterization of the invariant measures for an infinite particle system with interactions, Trans. Amer. Math. Soc. 179 (1973), 433 – 453. · Zbl 0268.60090
[4] Thomas M. Liggett, A characterization of the invariant measures for an infinite particle system with interactions. II, Trans. Amer. Math. Soc. 198 (1974), 201 – 213. · Zbl 0364.60118
[5] Thomas M. Liggett, Convergence to total occupancy in an infinite particle system with interactions, Ann. Probability 2 (1974), 989 – 998. · Zbl 0295.60086
[6] Thomas M. Liggett, Existence theorems for infinite particle systems, Trans. Amer. Math. Soc. 165 (1972), 471 – 481. · Zbl 0239.60072
[7] P. Meyer, Probability and potentials, Blaisdell, Waltham, Mass., 1966. MR 34 #5119. · Zbl 0138.10401
[8] Frank Spitzer, Interaction of Markov processes, Advances in Math. 5 (1970), 246 – 290 (1970). · Zbl 0312.60060 · doi:10.1016/0001-8708(70)90034-4
[9] Frank Spitzer, Recurrent random walk of an infinite particle system, Trans. Amer. Math. Soc. 198 (1974), 191 – 199. · Zbl 0321.60087
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