Термодинамический формализм - Рюэль Д.
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R. L. Dobrushin
[1] «The description of a random field by means of conditional probabilities and conditions of its regularity», Teorija Verojatn. і Ee Prim. 13, 201-229 (1968). English translation. Theory Prob. Applications 13, 197-224 (1968).
[2] «Gibbsian random fields for lattice systems with pairwise interactions», Funkts. Analiz і Ego Pril. 2, №4, 31-43 (1968). English translation. Functional Anal. Appl. 2, 292-301 (1968).
[3] «The problem of uniqueness of a Gibbsian random field and the problem of phase transitions», Funkts. Analiz і Ego Pril. 2, №4, 44-57 (1968). English translation, Functional Anal. Appl. 2, 302-312 (1968).
[4] «Analyticity of correlation functions in one-dimensional classical systems with slowly decreasing potentials», Commun. Math. Phys. 32, 269-289 (1973).
F. J. Dyson
[ I ] «Existence of a phase-transition in a one-dimensional Ising ferromagnet», Commun. Math. Phys. 12, 91-107 (1969).
S. A. Elsanousi
[I] «А variational principle for the pressure of a continuous Z2-action on a compact metric space», Amer. J. Math. 99, 77-106 (1977).
M. E. Fisher
[I] «The theory of condensation and the critical point», Physics 3, 255-283 (1967).
J. M. Franks
[I] «А reduced zeta function for diffeomorphisms», Amer. J. Math. 100, №2 (1978).
H. Furstenberg and H. Kesten
[I] «Products of random matrices», Ann. Math. Statist. 31, 457^1-69 (1960).
G. Gallavotti
[I] «Ising model and Bernoulli schemes in one dimension», Commun. Math. Phys. 32, 183-190 (1973).
Литература
279
[2] «Funzioni zeta ed insiemi basilari», Accad. Lincei. Rend. Sc. fis. mat. e nat. 61, 309-317 (1976).
G. Gallavotti and S. Miracle-Sole
[I] «Statistical mechanics of lattice systems», Commun. Math. Phys. 5, 317-323 (1967).
F. R. Gantmaher
[I] The Theory of Matrices. Nauka, Moscow, 1967. English translation, Chelsea, New York, 1964.
H.-O. Georgii
[1] Phaseniibergang I. Art bei Gittergasmodellen. Lecture Notes in Physics №16. Springer, Berlin, 1972.
[2] «Two remarks on extremal equilibrium states», Commun. Math. Phys.
32, 107-118 (1973).
T. N. T. Goodman
[ I ] «Relating topological entropy and measure entropy», Bull. London Math. Soc. 3, 176-180 (1971).
L. W. Goodwyn
[I] «Topological entropy bounds measure-theoretic entropy», Proc. Amer. Math. Soc. 23, 679-688 (1969).
R. B. Griffiths and D. Ruelle
[I] «Strict convexity («continuity») of the pressure in lattice systems», Commun. Math. Phys. 23, 169-175 (1971).
B. M. Gurevic [I] «Topological entropy of enumerable Markov chains», Dokl. Akad. Nauk SSSR 187, №4, 754-757 (1969). English translation. Soviet Math. Dokl. 10, 911-915 (1969).
B. M. Gurevic and V. I. Oseledec
[I] «Gibbs distributions and dissipativeness of [/-diffeomorphisms», Dokl. Akad. NaukSSSR 209, №5, 1021-1023 (1973). English translation. SovietMath. Dokl. 14, 570-573 (1973).
H. Halmos
[I] Measure Theory. D. Van Nostrand, Princeton, 1950.
M. W. Hirsch
280
Литература
[1] «Expanding maps and transformation groups», in Global Analysis Proc. Symp. Pure Math. 14, 1970, pp. 125-131.
R. B. Israel
[1] «Existence of phase transitions for long-range interactions», Commun. Math. Phys. 43, 59-68 (1975).
[2] Tangents to the Pressure as Invariant Equilibrium States in Statistical Mechanics of Lattice Systems, Princeton University Press, Princeton, 1978.
M. Keane
[I] «Sur Ies mesures invariantes d’un recouvrement regulier», C. R. Acad. Sci. Paris 272, A585-A587 (1971).
G. Kothe
[I] Topologische lineare Raume I. Springer, Berlin, 1960.
O. E. Lanford
[1] «Selected topics in functional analysis», in Mecanique statistique et theorie quantique des champs. Les Houches 1970. (C. De Witt, and R. Stora, eds.), pp.-09-214. Gordon and Breach, New York, 1971.
[2] «Entropy and equilibrium states in classical statistical mechanics», in Statistical mechanics and mathematical problems, Lecture Notes in Physics №20, pp. 1-113. Springer, Berlin, 1973.
O. E. Lanford and D. W. Robinson
[I] «Statistical mechanics of quantum spin systems III», Commun. Math. Phys. 9, 327-338 (1968).
O. E. Lanford and D. Ruelle
[I] «Observables at infinity and states with short range correlations in statistical mechanics», Commun. Math. Phys. 13, 194-215 (1969).
A. Lasota and J. A. Yorke
[I] «On the existence of invariant measures for piecewise monotonic transformations», Trans. Amer. Math. Soc. 186, 481-488 (1973).
F. Ledrappier
[1] «Mesures d’equilibre sur un reseau», Commun. Math. Phys. 33, 119-128 (1973).
[2] «Principe variationnel et systemes dynamiques symboliques», Z Wahr-scheinlichkeitstheorie Verw. Gebiete 30, 185-202(1974).
Литература
281
F. Ledrappier and P. Walters
[I] «А relativised variational principle for continuous transformations», J. London Math. Soc. 16, 568-576 (1977).
A. N. Livsic
[1] «Homology properties of F-systems», Mat. Zametki 10, №5, 555-564
(1971). English translation. Math. Notes 10, 758-763 (1971).
