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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: 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 [Enhancements On Off] (What's this?)

  • 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

Review Information:

Reviewer: Peter Walters
Journal: Bull. Amer. Math. Soc. 21 (1989), 113-117
DOI: https://doi.org/10.1090/S0273-0979-1989-15782-0
American Mathematical Society