Remarks on the global Markov property
Tóm tắt
The global Markov property is established for the + state and the − state of attractive lattice systems (e.g., the ferromagnetic Ising model and most other systems for which the FKG inequalities are satisfied) and of the (continuum) Widom Rowlinson model.
Tài liệu tham khảo
Dobrushin, R.L.: Funct. Anal. Appl.2, 291 (1968)
Lanford, O.E., III, Ruelle, D.: Comm. Math. Phys.13, 194 (1969)
Albeverio, S., Høegh-Krohn, R.: The global Markov property for lattice systems. (Submitted to Z. Wahr. Verw. Geb.)
Föllmer, H.: On the global Markov property. Preprint 1978
Dobrushin, R.L.: Theory Prob. Appl.17, 582 (1972)
Fortuin, C.M., Kasteleyn, P.W., Ginibre, J.: Commun. Math. Phys.22, 89 (1971)
Battle, G.A., Rosen, L.: J. Stat. Phys.22, 123 (1980)
Lebowitz, J.L., Monroe, J.L.: Commun. Math. Phys.28, 301 (1972)
Ruelle, D.: Phys. Rev. Lett.27, 1040 (1971)
Cassandro, M., Gallavotti, G., Lebowitz, J.L., Monroe, J.L.: Commun. Math. Phys.32, 153 (1973)
Preston, C.J.: Commun. Math. Phys.36, 233 (1974)
Breiman, L.: Probability. London: Addison-Wesley 1968
Schwartz, L.: Radon measures. London, New York: Oxford University Press 1973
Lanford, O.E., III.: Commun. Math. Phys.11, 257 (1969)