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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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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