The problem of uniqueness of a gibbsian random field and the problem of phase transitions

Functional Analysis and Its Applications - Tập 2 Số 4 - Trang 302-312 - 1969
R. L. Dobrushin

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Tài liệu tham khảo

R. L. Dobrushin, "Gibbsian random fields for lattice systems with paired interactions," Funktsional'. Analiz i Ego Prilozhen.,2, No. 4, 31?43 (1968).

R. L. Dobrushin, "Description of a random field by means of conditional probabilities and the conditions governing its regularity," Teor. Veroyatn. i Ee Primen.,13, No. 2, 201?229 (1968).

R. A. Minlos, "Regularity of the limiting Gibbsian distribution," Funktsional'. Analiz i Ego Prilozhen.,1, No. 3, 40?53 (1967).

R. A. Minlos and Ya. G. Sinai, "New results on phase transitions of the first kind in models of a lattice gas," Trudy Mosk. Matem. Obshchestva,11, 213?242 (1967).

R. Griffiths, "Peierl's proof of spontaneous magnetization in two-dimensional Ising ferromagnet," Phys. Rev.,A136, 437?438 (1964).

R. L. Dobrushin, "Existence of a phase transition in the two-dimensional and three-dimensional Ising models," Teor. Veroyatn. i Ee Primen.,10, No. 2, 209?230 (1965).

K. Huang, Statistical Mechanics, N. Y.-London, John Wiley (1963).

R. L. Dobrushin, Existence of Phase Transition in Models of a Lattice Gas, Proc. Fifth Berkeley Symp. on Math. Stat. and Probabilities, Vol. 3, Univ. of Calif. Press (1967), pp. 73?87.

D. Ruelle, Statistical Mechanics of a One-Dimensional Lattice Gas, Centre de Physique Theorique de l'Ecole Polytechnique, Preprint (1968).

R. E. Peierls, "On Ising's ferromagnet model," Proc. Camb. Phil. Soc.,32, 477 (1936).