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Rost, H.

Non-equilibrium behaviour of a many particle process: Density profile and local equilibria. (English) Zbl 0451.60097

Z. Wahrscheinlichkeitstheor. Verw. Geb. 58, 41-53 (1981).
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Cited in 4 Reviews
Cited in 113 Documents

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
60G50 Sums of independent random variables; random walks

Keywords:

non-equilibrium behaviour of a many particle process; local equilibria; particle jump process; Bernoulli measure
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\textit{H. Rost}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 58, 41--53 (1981; Zbl 0451.60097)
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References:

[1] Galves, A., Kipnis, C., Marchioro, C., Presutti, E.: Non-equilibrium measures which exhibit a temperature gradient: study of a model. Preprint IHES 1980 · Zbl 0465.60089
[2] Hammersley, J. M., Postulates for subadditive processes, Ann. Probability, 2, 652-680 (1974) · Zbl 0303.60044
[3] Liggett, T. M., Ergodic theorems for the asymmetric simple exclusion process, Trans. Amer. Math. Soc., 213, 237-261 (1975) · Zbl 0322.60086
[4] Liggett, T. M., Coupling the simple exclusion process, Ann. Probability, 4, 339-356 (1976) · Zbl 0339.60091
[5] Richardson, D., Random growth in a tessellation, Proc. Cambridge Phil. Soc., 70, 515-528 (1974) · Zbl 0295.62094
[6] Smythe, R. T.; Wierman, J. C., First-passage percolation on the square lattice, Lecture Notes in Mathematic 671 (1978), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0379.60001
[7] Saaty, Th. L., Elements of queueing theory (1961), New York-Toronto-London: McGraw-Hill, New York-Toronto-London · Zbl 0100.34203
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.