Measure theory through dynamical eyes

V.A. Rokhlin, On the Fundamental Ideas of Measure Theory. Mat. Sb. (N.S.), 1949, 25(67):1, 107–150 (Russian). Translations Amer. Math. Soc., Series 1, 10 (1962), pp. 1–54

1962

Earlier work this paper cites.

V.A. Rokhlin, Lectures on the Entropy Theory of Measure-Preserving Transformations. Russ. Math. Surv. Vol. 22 (1967), No. 5, pp. 3–56. MR0217258

1967

Earlier work this paper cites.

P.R. Halmos, Measure Theory . New York: Springer-Verlag, 1974

1974

Earlier work this paper cites.

P. Walters, Ergodic Theory . Springer-Verlag, Berlin, 1975

Original

1975

Earlier work this paper cites.

D. Lind and J.-P. Thouvenot, Measure-preserving homeomorphisms of the torus represent all finite entropy ergodic transformations . Math. Systems Theory Vol. 11 (1977/78), no. 3, 275–282

1977

Cited alongside, same era.

H. Furstenberg, Recurrence in Ergodic Theory and Combinatorial Number Theory , Princeton University Press, 1980

1980

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I.P. [I.P. Kornfel’d] Cornfel’d, S.V. Fomin, Ya.G. Sinai, ”Ergodic theory” , Springer (1982) pp. Appendix 1 (Translated from Russian)

1982

Cited alongside, same era.

F. Ledrappier and L.-S. Young, The Metric Entropy of Diffeomorphisms: Part I: Characterization of Measures Satisfying Pesin’s Entropy Formula . Ann. Math. Vol. 122, No. 3 (Nov. 1985), pp. 509–539

1985

Cited alongside, same era.

M. Viana, Disintegration into conditional measures: Rokhlin’s theorem . http://w3.impa.br/~viana/out/rokhlin.pdf

Cited in the paper.

F. Ledrappier and L.-S. Young, The Metric Entropy of Diffeomorphisms: Part II: Relations between Entropy, Exponents and Dimension . Ann. Math. Vol. 122, No. 3 (Nov. 1985), pp. 540–574

1985

Later among the works it cites.

A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems . Cambridge, 1995

1995

Later among the works it cites.

D. Ruelle and A. Wilkinson, Absolutely Singular Dynamical Foliations , Comm. Math. Phys. 219 (2001), 481–487

2001

Later among the works it cites.

L. Barreira and Y. Pesin, Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents. Cambridge University Press, 2007

2007

Later among the works it cites.