000 02591 a2200349 4500
999 _c26313
_d12723
001 26313
003 TR-AnTOB
005 20201210104536.0
008 060527s1994 njua 00110 eng
020 _a0691032777
040 _aTR-AnTOB
_cTR-AnTOB
041 _aeng
050 0 _aQA611.5
_b.S56 1994
090 _aQA611.5 .S56 1994
100 1 _aSinaĭ, I︠A︡. G.
_q(I︠A︡kov Grigorʹevich),
_d1935-
_921094
245 0 _aTopics in ergodic theory /
_cYa. G. Sinai.
264 1 _aPrinceton, N.J. :
_bPrinceton University Press,
_c1994.
300 _avi, 218 p. :
_bill. ;
_c25 cm.
336 _2rdacontent
_atext
_btxt
337 _2rdamedia
_aunmediated
_bn
338 _2rdacarrier
_avolume
_bnc
490 0 _aPrinceton Mathematical Series ;
_v44
504 _aIncludes bibliographical references and index.
505 0 _aI. General Ergodic Theory. Measurable Transformations. Invariant Measures. Ergodic Theorems. Lebesgue Spaces and Measurable Partitions. Ergodicity and Decomposition into Ergodic Components. Spectrum of Interval Exchange Transformations. Isomorphism of Dynamical Systems. Generators of Dynamical Systems. Dynamical Systems with Pure Point Spectra. General Properties of Eigenfunctions and Eigenvalues of Ergodic Automorphisms. Isomorphism of Dynamical Systems with Pure Point Spectrum -- II. Entropy Theory of Dynamical Systems. Entropy Theory of Dynamical Systems. Breiman Theorem. Pinsker Partition. K-Systems. Exact Endomorphisms. Gibbs Measures. Entropy of Dynamical Systems with Multidimensional Time. Systems of Cellular Automata as Dynamical Systems -- III. One-Dimensional Dynamics. Continued Fractions and Farey Fractions. Homeomorphisms and Diffeomorphisms of the Circle. Sharkovski's Ordering and Feigenbaum's Universality. Expanding Mappings of the Circie -- IV. Two-Dimensional Dynamics. Standard Map. Twist Maps. Periodic Orbits. Aubry-Mather Theory. Periodic Hyperbolic Points, Their Stable and Unstable Manifolds. Homoclinic and Heteroclinic Orbits. Homoclinic and Heteroclinic Points and Stochastic Layers -- V. Elements of the Theory of Hyperbolic Dynamical Systems. Geodesic Flows and Their Generalizations. Discontinuous Dynamical Systems. Stable and Unstable Manifolds. Existence of Local Manifolds. Gibbs Measures. Markov Partitions. Theorem for Dynamical Systems. Elements of Thermodynamic Formalism.
650 0 _aTopological dynamics
_924138
650 7 _aTopolojik dinamikler
_2etuturkob
_924767
650 _aErgodic theory
_93015
650 _aErgodik teori
_924136
902 _a0014878
942 _cBK
_2lcc