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Vladimir Abramovich Rokhlin—A biographical tribute (23.8.1919–3.12.1984)

Published online by Cambridge University Press:  19 September 2008

A. M. Vershik
A. M. Vershik
Affiliation:
Department of Mathematics, Leningrad University, USSR
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Vladimir Abramovich Rokhlin was born on 23 August 1919 in Baku (Azerbaijan). His parents, Abram Beniaminovich Rokhlin and Henrietta Emmanuilovna Levenson, came from Jewish families, who lived in the Ukraine and in Byelorussia and then moved to Baku. Rokhlin's mother was the sister of the well-known literary figure and children's writer Kornei Chukovsky; Rokhlin's grandmother, Klara Levenson, was one of the first women doctors in Russia. Rokhlin's mother graduated from a medical school in France and was a doctor in Baku. She died tragically in 1923. His father was a broadly educated man and took an active part in political activity before the revolution (he was a social democrat) and in the early years of the revolution. Later he was involved in administrative work in Baku, in the Ukraine, in Central Asia and in Moscow. Not surprisingly he did not escape the Stalinist repressions: in 1939 he was arrested and on 13.7.1941 was sentenced to be shot. In 1957 his relatives received a certificate of rehabilitation (‘the case is closed due to insufficient evidence’); it is clear from this certificate that it was still impossible to obtain reliable information about the last years of his life; in particular even the exact date of his death is not precisely established. Rokhlin's family was exiled to Siberia and remained there. Fortunately Rokhlin, who was at that time a student at the University of Moscow, escaped with comparatively minor unpleasantnesses, and was not expelled from the University.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 9 , Issue 4 , December 1989 , pp. 629 - 641
Copyright
Copyright © Cambridge University Press 1989

References

ROKHLIN'S WORKS ON MEASURE THEORY AND ERGODIC THEORY

1On a classification of measurable partitions. Doklady Akad. Nauk SSSR 58 (1947), 29–32.Google Scholar
2On the problem of classification of the automorphisms of Lebesgue spaces. Doklady Akad. Nauk SSSR 58 (1947), 189–191.Google Scholar
3Unitary rings. Doklady Akad. Nauk 59 (1948), 643–646.Google Scholar
4A‘general’ measure-preserving transformation is not mixing. Doklady Akad. Nauk 60 (1948), 349–351.Google Scholar
5On the fundamental ideas of measure theory. Mat. Sbornik 25 (67) (1949), 107–150.Google Scholar
= On the fundamental ideas of measure theory. Amer. Math. Soc. Translation 71 (1952) (1) 10, 1–54.Google Scholar
6On the decomposition of a dynamical system into transitive components. Mat. Sbornik 25 (67) (1949), 235–249.Google Scholar
7On dynamical systems whose irreducible components have a pure point spectrum. Dokladv Akad. Nauk SSSR 64 (1949), 167–169.Google Scholar
8On the approximation of non-periodic flows by periodic ones. Doklady Akad. Nauk SSSR 64 (1949), 619–620. (With Gurevich, A. A..)Google Scholar
9On endomorphisms of compact commutative groups. Izvestiya Akad. Nauk SSSR Ser. Mat. 13 (1949), 329–340.Google Scholar
10Selected topics from the metric theory of dynamical systems. Uspehi Matem. Nauk 4 No. 2 (30) (1949), 57–128.Google Scholar
11Approximation theorems for measurable flows. Izvestiya Akad. Nauk SSSR Ser. Mat. 14 (1950), 537–548. (With Gurevich, A. A..)Google Scholar
12Metric classification of measurable functions. Uspehi Matem. Nauk 12, No. 2 (74) (1957), 169–174.Google Scholar
13Spectral theory of dynamical systems. Trudy Tret'evo Vsesoyuznovo Matematicheskovo S'ezda 1956 (Proc. Third All-Union Congress 1956), Vol. 3, 284–292. (With Fomin, S. V..)Google Scholar
14Entropy of metric automorphism. Doklady Akad. Nauk SSSR 124 (1959), 980–983.Google Scholar
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16Construction and properties of invariant measurable partitions. Doklady Akad. Nauk SSSR 141 (1961), 1038–1041. (With Sinai, Ya. G..)Google Scholar
17The entropy of an automorphism of a compact commutative group. Tear. Veroyalnost. i Primenen. 6 (1961), 351–352.Google Scholar
18Exact endomorphisms of a Lebesgue space. Izv. Akad. Nauk SSSR Ser. Mat. 25 (1961), 499–530.Google Scholar
19Entropy of a skew product of mappings with invariant measure. Veslnik. Leningrad. Univ. 17 (7) (1962), 5–13. (With Abramov, L. M..)Google Scholar
20An axiomatic definition of the entropy of a transformation with invariant measure. Doklady Akad. Nauk SSSR 148 (1963), 779–781.Google Scholar
21Generators in ergodic theory. Vestnik. Leningrad. Univ. 18 (1) (1963), 26–32.Google Scholar
22Metric properties of endomorphisms of compact commutative groups. Izv. Akad. Nauk SSSR 28 (1964), 867–874.Google Scholar
23Generators in ergodic theory II. Vestnik. Leningrad. Univ. 20 (13) (1965), 68–72.Google Scholar
24Lectures on the entropy theory of transformations with invariant measure. Uspehi Matem. Nauk 22 No. 5 (137) (1967), 3–56.CrossRefGoogle Scholar