This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Dobrušin, R. L.: Markov processes with a large number of locally interacting components — existence of the limiting process and its ergodicity. Probl. Peredači Inform.7, 2, 70–87 (1971).
Dobrušin, R.L.: The problem of uniqueness of a Gibbsian random field and the problem of phase transitions. Funkcional'. Analiz. PriloŽenija2, 302–312 (1968).
Felderhof, B. U.: Spin relaxation of the Ising chain. Rep. Math. Phys.1, 215–234 (1970).
Harris,T.E.: Nearest-neighbor Markov interaction processes on multidimensional lattices. To appear in Advances Math.
Holley, R.: A class of interactions in an infinite particle system. Advances Math.5, 291–309 (1970).
Holley, R.: Markovian interaction processes with finite range interactions. To appear in Ann. Math. Statistics.
Liggett, T.M.: Existence theorems for infinite particle systems. Trans. Amer. Math. Soc.165, 471–481 (1972).
Ruelle, D., to appear.
Spitzer, F.: Interaction of Markov processes. Advances Math.5, 246–290 (1970).
About this article
Cite this article
Holley, R. An ergodic theorem for interacting systems with attractive interactions. Z. Wahrscheinlichkeitstheorie verw Gebiete 24, 325–334 (1972). https://doi.org/10.1007/BF00679137
- Stochastic Process
- Probability Theory
- Mathematical Biology
- Attractive Interaction
- Ergodic Theorem