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Book Review
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Book Information
Author(s):
Yuri Kifer
Title:
Ergodic theory of random transformations
Additional book information:
Progress in Probability and Statistics, vol. 10, Birkhäuser, Boston, Basel, Stuttgart, 1986, 210 pp., $34.00. ISBN 0-8176-3319-7
References:
- 1.
- L. M. Abramov and V. A. Rohlin, Entropy of a skew-product transformation with invariant measure, Vestnik Leningrad Univ. 17 (1962), 5-13; English Transl. Amer. Math. Soc. Transl. (2) 48 (1966), 255-265. MR 140660
- 2.
- P. Bougerol and J. Lacroix, Products of random matrices with applications to Schrödinger operators, Progress in Probability and Statistics, vol. 8, Birkhäuser, 1985. MR 886674
- 3.
- J. C. Cohen, H. Kester and C. M. Newan (eds.), Random matrices and their applications, Contemporary Math., vol. 50, American Math. Soc., Providence, R.I., 1984.
- 4.
- J.-P. Eckmann and D. Ruelle, Ergodic theory of chaos and strange attractors, Rev. Modern Phys. 57 (1985), 617-656. MR 800052
- 5.
- Y. Kifer, General random perturbations of hyperbolic and expanding transformations, J. Analyse Math. 47 (1966), 111-150. MR 874047
- 6.
- H. Kunita, Stochastic differential equations and stochastic flows of diffeomorphisms, Lecture Notes in Math., vol. 1097, Springer-Verlag, Berlin and New York, 1984, pp. 143-303. MR 876080
- 7.
- F. Ledrappier and P. Walters, A relativised variational principle for continuous transformations, J. London Math. Soc. 16 (1977), 568-576. MR 476995
- 8.
- P. Walters, Relative pressure, relative equilibrium states, compensation functions and many-to-one codes between subshifts, Trans. Amer. Math. Soc. 296 (1986), 1-31. MR 837796
Additional Information:
Reviewer(s):
Peter
Walters
Review Information:
Journal:
Bull. Amer. Math. Soc.
21
(1989),
113-117.
DOI:
10.1090/S0273-0979-1989-15782-0
PII:
S 0273-0979(1989)15782-0
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