zbMATH — the first resource for mathematics

Limit distribution functions in classical statistical physics. (English. Russian original) Zbl 0319.70012
Theor. Math. Phys. 21(1974), 1223-1233 (1975); translation from Teor. Mat. Fiz. 21, 388-401 (1974).

82B30 Statistical thermodynamics
60K35 Interacting random processes; statistical mechanics type models; percolation theory
Full Text: DOI
[1] G. Gallavotti and S. Miracle-Sole, Commun. Math. Phys.,5, 317 (1967). · Zbl 0154.46501 · doi:10.1007/BF01646445
[2] D. Ruelle, Ann. Phys.,25, 109 (1963). · doi:10.1016/0003-4916(63)90336-1
[3] N. N. Bogolyubov, D. Ya. Petrina, and B. I. Khatset, Teor. Mat. Fiz.,1, 251 (1969).
[4] R. L. Dobrushin, Teor. Veroyat. i ee Prim.,15, 469 (1970).
[5] R. L. Dobrushin, Funktsional. Analiz i Ego Prilozhen.,2, 31 (1968).
[6] R. L. Dobrushin, Funktsional. Analiz i Ego Prilozhen.,3, 27 (1969).
[7] N. N. Bogolyubov, ?Problems of a dynamical theory in statistical physics,? in: Studies in Statistical Mechanics, Vol. 1, J. de Boer and G. E. Uhlenbeck (editors), North Holland, Amsterdam (1962). · Zbl 0116.45101
[8] D. Ruelle, Statistical Mechanics, New York (1969).
[9] P. Levy, Problèmes Concrets d’Analyse Fonctionelle, Gauthier-Villars, Paris (1951).
[10] A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis [in Russian], Nauka (1972). · Zbl 0235.46001
[11] A. Hurwitz and R. Courant, Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen, Berlin (1964). · Zbl 0135.12101
[12] Functional Analysis [in Russian], Nauka (1972). · Zbl 0249.28001
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.