Термодинамический формализм - Рюэль Д.
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[2] «Cohomolgy of dynamical systems», Izv. Akad. Nauk SSSR. Ser. Mat. 36, №6, 1296-1320 (1972). English translation. Math. USSR Izvestija 6, 1276-1301
(1972).
A. Manning
[1] «Axiom A diffeomorphisms have rational zeta functions», Bull. London Math. Soc. 3, 215-220 (1971).
[2] «Topological entropy and the first homology group», in Dynamical Systems. Warwick 1974, Lecture Notes in Mathematics №468, pp. 185-190. Springer, Berlin, 1975.
S. Mazur [I] «Uber konvexe Mengen in linearen normierten Raumen», Studia Math. 4, 70-84 (1933).
M. Misiurewicz
[I] «А short proof of the variational Principle for a Z+ action on a compact space», Asterisque 40, 147-157 (1976).
D. S. Omstein
[I] Ergodic Theory, Randomness, and Dynamical Systems. Yale Mathematical Monographs 5. Yale University Press, New Haven, 1974.
V. I. Oseledec
[I] «А multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems», Trudy Moscov. Mat. Obsc. 19, 179-210 (1968). English translation, Trans. Moscow Math. Soc. 19, 197-231 (1968).
W. Parry
[1] «Intrinsic Markov chains», Trans. Amer. Math. Soc. 112, 55-66 (1964).
[2] «Topological Markov chains and suspensions», Warwick preprint, 1974.
R. Phelps
[I] Lectures on Choquets Theorem. Van Nostrand Mathematical Studies №7. D. Van Nostrand, Princeton, 1966.
282 Литература
C. J. Preston
[1] Gibbs States on Countable Sets. Cambridge Tracts in Mathematics №68. Cambridge University Press, Cambridge, 1974.
[2] Random Fields. Lecture Notes in Mathematics №534. Springer, Berlin, 1976.
M. Ratner
[1] «The central limit theorem for geodesic flows on n-dimensional manifolds of negative curvature», Israel J. Math. 16, 181-197 (1973).
[2] «Anosov flows with Gibbs measures are also Bemoullian», Israel J. Math. 17, 380-391 (1974).
R. M. Robinson
[I] «Undecidability and nonperiodicity for tilings of the plane», Inventiones Math. 12, 177-209(1971).
D. W. Robinson and D. Ruelle
[I] «Mean entropy of states in classical statistical mechanics». Common. Math. Phys. 5, 288-300 (1967).
V. A. Rohlin
[I] «On the fundamental ideas of measure theory», Mat. Sbornik (N.. S.) 25, 107-150 (1949). English translation, Amer. Math. Soc. Transl., Ser. I, 10, 1-54 (1952).
D. Ruelle
[1] «А variational formulation of equilibrium statistical mechanics and the Gibbs phase rule», Commun. Math. Phys. 5, 324-329 (1967).
[2] «Statistical mechanics of a one-dimensional lattice gas», Commun. Math. Phys. 9, 267-278 (1968).
[3] Statistical Mechanics. Rigorous Results. Benjamin, New York, 1969.
[4] «Statistical mechanics on a compact set with Z^-action satisfying expansiveness and specification», Bull. Amer. Math. Soc. 78, 988-991 (1972); Trans. Amer. Math. Soc. 185, 237-251 (1973).
[5] «А measure associated with axiom A attractors», Amer. J. Math. 98, 619-654 (1976).
[6] «Generalized zeta-functions for axiom A basic sets», Bull. Amer. Math. Soc. 82, 153-156 (1976).
Литература
283
[7] «Zeta-functions for expanding maps and Anosov flows», Inventiones Math. 34, 231-242(1976).
[8] «А heuristic theory of phase transitions», Commun. Math. Phys., 53, 195-208 (1977).
D. Ruelle and D. Sullivan
[I] «Currents, flows and diffeomorphisms», Topology 14, 319-327 (1975).
R Shields
[I] The Theory of Bernoulli Shifts. University of Chicago Press, Chicago, 1973.
M. Shub
[I] «Endomorphisms of compact differentiable manifolds», Amer. J. Math. 91, 175-199 (1969).
B. Simon
[I] The Euclidean (Quantum) Field Theory. Princeton University
Press, Princeton, 1974.
Ia. G. Sinai
[1] «Markov partitions and C-diffeomorphisms», Funkts. Analiz і Ego Pril.
I, №1,64-89 (1968). English translation. Functional Anal. Appl. 2,61-82 (1968).
[2] «Construction of Markov partitions», Funkts. Analiz і Ego Pril. 2, №3, 70-80 (1968). English translation, Functional Anal. Appl. 2, 245-253 (1968).
[3] «Mesures invariantes des F-systemes», in Actes, Congres intern. Math., Nice, 1970, Vol. 2 pp. 929-940. Gauthier-Villars, Paris, 1971.
[4] «Gibbsian measures in ergodic theory», Uspehi Mat. Nauk 27, №4, 21-64 (1972). English translation, Russian Math. Surveys 27, №4, 21-69 (1972).
S. Smale
[I] «Differentiable dynamical systems», Bull. Amer. Math. Soc. 73, 747-817 (1967).
M. Smorodinsky
[I] Ergodic Theory, Entropy. Lecture Notes in Mathematics №214. Springer, Berlin, 1971.
W. G. Sullivan
284 Литература
[1] «Potentials for almost Markovian random fields», Commun. Math. Phys.
33, 61-74 (1973).
G. Velo and A. S. Wightman (eds.)
[I] Constructive Quantum Field Theory. Lecture Notes in Physics №25. Springer, Berlin, 1973.
P. Walters
[1] «А variational principle for the pressure of continuous transformations», Amer. J. Math. 97, 937-971 (1976).
[2] Ergodic Theory. Introductory Lectures. Lecture Notes in Mathematics №458. Springer, Berlin, 1975.
[3] «А generalized Ruelle Perron-Frobenius theorem and some applications», Asterisque 40, 183-192 (1976).
