Bulletin of the American Mathematical Society

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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.

L. M. Abramov and V. A. Rohlin, Entropy of a skew product of mappings with invariant measure, Vestnik Leningrad. Univ. 17 (1962), no. 7, 5–13 (Russian, with English summary). MR 0140660

Philippe Bougerol and Jean Lacroix, Products of random matrices with applications to Schrödinger operators, Progress in Probability and Statistics, vol. 8, Birkhäuser Boston, Inc., Boston, MA, 1985. MR 886674, DOI 10.1007/978-1-4684-9172-2

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.

J.-P. Eckmann and D. Ruelle, Ergodic theory of chaos and strange attractors, Rev. Modern Phys. 57 (1985), no. 3, 617–656. MR 800052, DOI 10.1103/RevModPhys.57.617

Yuri Kifer, General random perturbations of hyperbolic and expanding transformations, J. Analyse Math. 47 (1986), 111–150. MR 874047, DOI 10.1007/BF02792535

H. Kunita, Stochastic differential equations and stochastic flows of diffeomorphisms, École d’été de probabilités de Saint-Flour, XII—1982, Lecture Notes in Math., vol. 1097, Springer, Berlin, 1984, pp. 143–303. MR 876080, DOI 10.1007/BFb0099433

François Ledrappier and Peter Walters, A relativised variational principle for continuous transformations, J. London Math. Soc. (2) 16 (1977), no. 3, 568–576. MR 476995, DOI 10.1112/jlms/s2-16.3.568

Peter Walters, Relative pressure, relative equilibrium states, compensation functions and many-to-one codes between subshifts, Trans. Amer. Math. Soc. 296 (1986), no. 1, 1–31. MR 837796, DOI 10.1090/S0002-9947-1986-0837796-8

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 0140660

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