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Holley, Richard; Liggett, Thomas M.

Generalized potlatch and smoothing processes. (English) Zbl 0441.60096

Z. Wahrscheinlichkeitstheor. Verw. Geb. 55, 165-195 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0441.60096

Cited in 2 Reviews
Cited in 43 Documents

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory

Keywords:

infinite particle systems; phase transition; contact processes

Citations:

Zbl 0375.60111
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Full Text: DOI

References:

[1] Harris, T. E., Contact Interactions on a Lattice, Annals of Probbab., 2, 969-988 (1974) · Zbl 0334.60052
[2] Harris, T. E., Additive Set-valued Markov Processes and Graphical Methods, Annals of Probab., 6, 355-378 (1978) · Zbl 0378.60106
[3] Holley, R.; Liggett, T. M., The Surivival of Contact Processes, Annals of Probab., 6, 198-206 (1978) · Zbl 0375.60111
[4] Liggett, T. M., The Stochastic Evolution of Infinite Systems of Interacting Particles, 187-248 (1977), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0363.60109
[5] Liggett, T.M., Spitzer, F.: Ergodic Theorems for Coupled Random Walks and Other Systems with Locally Interacting Components. To appear · Zbl 0444.60096
[6] Onsager, L., Crystal Statistics I, A Two-Dimensional Model with an Order-Disorder Transition, Phys. Rev., 65, 117-149 (1944) · Zbl 0060.46001
[7] Spitzer, F., Stochastic Time Evolution of One Dimensional Infinite Particle Systems, Bull Amer. Math. Soc., 83, 880-890 (1977) · Zbl 0372.60149
[8] Spitzer, F.: Infinite Systems with Locally Interacting Components. To appear · Zbl 0462.60096
[9] Kahane, J. P.; Peyriere, J., Sur Certaines Martingales de Benoit Mandelbrot, Advances in Math., 22, 131-145 (1976) · Zbl 0349.60051
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