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Rokhlin, Vladimir Abramovich

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Author ID: rokhlin.v-a Recent zbMATH articles by "Rokhlin, Vladimir Abramovich"
Published as: Rokhlin, V. A.; Rokhlin, Vladimir Abramovich; Rokhlin, V.; RoKhlin, V. A.; Rohlin, V. A.
Further Spellings: Рохлин Владимир Абрамович
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 63 Publications since 1946, including 4 Books
2 Contributions as Editor
1 Further Contribution
Biographic References: 19 Publications

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 461 times in 430 Documents Cited by Year
Lectures on the entropy theory of measure-preserving transformations. Zbl 0174.45501
Rokhlin, V. A.
99
1967
Exact endomorphisms of a Lebesgue space. Zbl 0154.15703
Rokhlin, V. A.
42
1964
Complex topological characteristics of real algebraic curves. Zbl 0437.14013
Rokhlin, V. A.
34
1978
Embeddings and immersions in Riemannian geometry. Zbl 0222.53053
Gromov, M. L.; Rokhlin, V. A.
26
1970
Beginner’s course in topology. Geometric chapters. Transl. from the Russian by A. Iacob. Zbl 0562.54003
Fuks, D. B.; Rokhlin, V. A.
26
1984
Construction and properties of invariant measurable partitions. Zbl 0161.34301
Rokhlin, V. A.; Sinai, Ya. G.
23
1961
Two-dimensional submanifolds of four-dimensional manifolds. Zbl 0268.57019
Rokhlin, V. A.
21
1971
Entropy of metric automorphism. Zbl 0096.31405
Rokhlin, V. A.
19
1959
Selected topics from the metric theory of dynamical systems. Zbl 0185.21802
Rokhlin, V. A.
19
1966
New progress in the theory of transformations with invariant measure. Zbl 0102.33001
Rokhlin, V. A.
18
1960
Elementary course of topology. Geometrical chapters. (Nachal’nyj kurs topologii. Geometricheskie glavy). Zbl 0417.55002
Rokhlin, V. A.; Fuks, D. B.
18
1977
Embeddings and immersions in Riemannian geometry. (Einbettungen und Immersionen in der Riemannschen Geometrie.) Zbl 0202.21004
Gromov, M. L.; Rokhlin, V. A.
15
1970
Complex topological characteristics of real algebraic curves. Zbl 0444.14018
Rokhlin, V. A.
12
1978
Proof of Gudkov’s hypothesis. Zbl 0259.14010
Rokhlin, V. A.
12
1972
A ”general” measure-preserving transformation is not mixing. (Die ”allgemeine” Transformation mit invariantem Mass ist keine Durchmischung.) Zbl 0033.06601
Rokhlin, V. A.
11
1948
The entropy of a skew product of measure-preserving transformations. Zbl 0156.06102
Abramov, L. M.; Rokhlin, V. A.
9
1962
Metric properties of endomorphisms of compact commutative groups. Zbl 0183.03602
Rokhlin, V. A.
7
1967
Neue Ergebnisse der Theorie der vierdimensionalen Mannigfaltigkeiten. Zbl 0046.40702
Rokhlin, V. A.
5
1952
Congruences modulo 16 in Hilbert’s sixtieth problem. Zbl 0295.14008
Rokhlin, V. A.
5
1973
Über die Endomorphismen kompakter kommutativer Gruppen. Zbl 0032.28402
RoKhlin, V. A.
3
1949
Erzeugende in der Ergodentheorie. Zbl 0167.32802
Rokhlin, V. A.
3
1963
Complex orientations of real algebraic curves. Zbl 0317.14028
Rokhlin, V. A.
3
1974
Spectral theory of linear operators. II. Zbl 0185.21002
Plesner, A. I.; Rokhlin, V. A.
3
1946
The embedding of non-orientable three-dimensional manifolds into a five- dimensional Euclidean space. Zbl 0132.20101
Rokhlin, V. A.
2
1965
Unitäre Ringe. Zbl 0030.39801
Rokhlin, V. A.
2
1948
Über die Grundbegriffe der Maßtheorie. Zbl 0033.16904
Rokhlin, V. A.
2
1949
Über die Zerlegung eines dynamischen Systems in transitive Komponenten. Zbl 0034.06501
Rokhlin, V. A.
2
1949
Internal homologies. Zbl 0080.16502
Rokhlin, V. A.
2
1958
Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501
2
2004
On the entropy of an automorphism of a compact commutative group. Zbl 0252.94012
Rokhlin, V. A.
2
1962
Congruence modulo 16 in Hilbert’s sixteenth problem. II. Zbl 0295.14009
Rokhlin, V. A.
2
1973
On normal Euler numbers of the projective plane and the Klein bottle in four-dimensional Euclidean space. Zbl 0214.22603
Rokhlin, V. A.
2
1970
Genaue Endomorphismen eines Lebesgueschen Raumes. Zbl 0107.33002
Rokhlin, V. A.
1
1961
Intrinsic homology theory. Zbl 0127.13404
Rokhlin, V. A.
1
1963
New examples of four-dimensional manifolds. Zbl 0132.19902
Rokhlin, V. A.
1
1965
Selected works. Appendix: Reminiscences of V. A. Rokhlin by V. I. Arnol’d, A. M. Vershik, S. P. Novikov and Ya. G. Sinaĭ. With commentaries on Rokhlin’s work by N. Yu. Netsvetaev and Vershik. Edited and with a preface by Vershik. (Избранные работы. Воспоминания о В. А. Рохлине.) Zbl 1206.01078
Rokhlin, V. A.
1
1999
Über das Problem der Klassifikation der Automorphismen der Lebesgueschen Räume. Zbl 0030.24401
Rokhlin, V. A.
1
1947
Ausgewählte Fragen der metrischen Theorie dynamischer Systeme. Zbl 0032.28403
Rokhlin, V. A.
1
1949
Eine innere Definition der charakteristischen Zyklen von Pontrjagin. Zbl 0049.40102
Rokhlin, V. A.
1
1952
On Pontrjagin characteristic classes. Zbl 0078.36802
Rokhlin, V. A.
1
1957
The combinatorial invariance of Pontrjagin classes. Zbl 0078.36803
Rokhlin, V. A.; Shvarts, A. S.
1
1957
New inequalities in the topology of real planar algebraic curves. Zbl 0478.14018
Rokhlin, V. A.
1
1980
Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501
2
2004
Selected works. Appendix: Reminiscences of V. A. Rokhlin by V. I. Arnol’d, A. M. Vershik, S. P. Novikov and Ya. G. Sinaĭ. With commentaries on Rokhlin’s work by N. Yu. Netsvetaev and Vershik. Edited and with a preface by Vershik. (Избранные работы. Воспоминания о В. А. Рохлине.) Zbl 1206.01078
Rokhlin, V. A.
1
1999
Beginner’s course in topology. Geometric chapters. Transl. from the Russian by A. Iacob. Zbl 0562.54003
Fuks, D. B.; Rokhlin, V. A.
26
1984
New inequalities in the topology of real planar algebraic curves. Zbl 0478.14018
Rokhlin, V. A.
1
1980
Complex topological characteristics of real algebraic curves. Zbl 0437.14013
Rokhlin, V. A.
34
1978
Complex topological characteristics of real algebraic curves. Zbl 0444.14018
Rokhlin, V. A.
12
1978
Elementary course of topology. Geometrical chapters. (Nachal’nyj kurs topologii. Geometricheskie glavy). Zbl 0417.55002
Rokhlin, V. A.; Fuks, D. B.
18
1977
Complex orientations of real algebraic curves. Zbl 0317.14028
Rokhlin, V. A.
3
1974
Congruences modulo 16 in Hilbert’s sixtieth problem. Zbl 0295.14008
Rokhlin, V. A.
5
1973
Congruence modulo 16 in Hilbert’s sixteenth problem. II. Zbl 0295.14009
Rokhlin, V. A.
2
1973
Proof of Gudkov’s hypothesis. Zbl 0259.14010
Rokhlin, V. A.
12
1972
Two-dimensional submanifolds of four-dimensional manifolds. Zbl 0268.57019
Rokhlin, V. A.
21
1971
Embeddings and immersions in Riemannian geometry. Zbl 0222.53053
Gromov, M. L.; Rokhlin, V. A.
26
1970
Embeddings and immersions in Riemannian geometry. (Einbettungen und Immersionen in der Riemannschen Geometrie.) Zbl 0202.21004
Gromov, M. L.; Rokhlin, V. A.
15
1970
On normal Euler numbers of the projective plane and the Klein bottle in four-dimensional Euclidean space. Zbl 0214.22603
Rokhlin, V. A.
2
1970
Lectures on the entropy theory of measure-preserving transformations. Zbl 0174.45501
Rokhlin, V. A.
99
1967
Metric properties of endomorphisms of compact commutative groups. Zbl 0183.03602
Rokhlin, V. A.
7
1967
Selected topics from the metric theory of dynamical systems. Zbl 0185.21802
Rokhlin, V. A.
19
1966
The embedding of non-orientable three-dimensional manifolds into a five- dimensional Euclidean space. Zbl 0132.20101
Rokhlin, V. A.
2
1965
New examples of four-dimensional manifolds. Zbl 0132.19902
Rokhlin, V. A.
1
1965
Exact endomorphisms of a Lebesgue space. Zbl 0154.15703
Rokhlin, V. A.
42
1964
Erzeugende in der Ergodentheorie. Zbl 0167.32802
Rokhlin, V. A.
3
1963
Intrinsic homology theory. Zbl 0127.13404
Rokhlin, V. A.
1
1963
The entropy of a skew product of measure-preserving transformations. Zbl 0156.06102
Abramov, L. M.; Rokhlin, V. A.
9
1962
On the entropy of an automorphism of a compact commutative group. Zbl 0252.94012
Rokhlin, V. A.
2
1962
Construction and properties of invariant measurable partitions. Zbl 0161.34301
Rokhlin, V. A.; Sinai, Ya. G.
23
1961
Genaue Endomorphismen eines Lebesgueschen Raumes. Zbl 0107.33002
Rokhlin, V. A.
1
1961
New progress in the theory of transformations with invariant measure. Zbl 0102.33001
Rokhlin, V. A.
18
1960
Entropy of metric automorphism. Zbl 0096.31405
Rokhlin, V. A.
19
1959
Internal homologies. Zbl 0080.16502
Rokhlin, V. A.
2
1958
On Pontrjagin characteristic classes. Zbl 0078.36802
Rokhlin, V. A.
1
1957
The combinatorial invariance of Pontrjagin classes. Zbl 0078.36803
Rokhlin, V. A.; Shvarts, A. S.
1
1957
Neue Ergebnisse der Theorie der vierdimensionalen Mannigfaltigkeiten. Zbl 0046.40702
Rokhlin, V. A.
5
1952
Eine innere Definition der charakteristischen Zyklen von Pontrjagin. Zbl 0049.40102
Rokhlin, V. A.
1
1952
Über die Endomorphismen kompakter kommutativer Gruppen. Zbl 0032.28402
RoKhlin, V. A.
3
1949
Über die Grundbegriffe der Maßtheorie. Zbl 0033.16904
Rokhlin, V. A.
2
1949
Über die Zerlegung eines dynamischen Systems in transitive Komponenten. Zbl 0034.06501
Rokhlin, V. A.
2
1949
Ausgewählte Fragen der metrischen Theorie dynamischer Systeme. Zbl 0032.28403
Rokhlin, V. A.
1
1949
A ”general” measure-preserving transformation is not mixing. (Die ”allgemeine” Transformation mit invariantem Mass ist keine Durchmischung.) Zbl 0033.06601
Rokhlin, V. A.
11
1948
Unitäre Ringe. Zbl 0030.39801
Rokhlin, V. A.
2
1948
Über das Problem der Klassifikation der Automorphismen der Lebesgueschen Räume. Zbl 0030.24401
Rokhlin, V. A.
1
1947
Spectral theory of linear operators. II. Zbl 0185.21002
Plesner, A. I.; Rokhlin, V. A.
3
1946
all top 5

Cited by 457 Authors

10 Mihailescu, Eugen Gh.
9 Krasnov, Vyacheslav Alekseevich
7 Ledrappier, François
6 Orevkov, Stepan Yur’evich
6 Parry, William
5 Adler, Roy Lee
5 Antoniou, Ioannis E.
5 Liu, Peidong
5 Mezić, Igor
5 Urbański, Mariusz
4 Hu, Huyi
4 Korchagin, Anatoly B.
4 Lind, Douglas A.
4 Mikhalkin, Grigory B.
4 Ornstein, Donald Samuel
4 Polulyakh, Yevgen
4 Viana, Marcelo
4 Ward, Thomas B.
4 Weiss, Benjamin
4 Young, Lai-Sang
3 Fiedler, Thomas
3 Gurevich, B. M.
3 Hawkins, Jane M.
3 Lasota, Andrzej
3 Nabutovsky, Alexander
3 Rokhlin, Vladimir Abramovich
3 Sigmund, Karl
3 Suchanecki, Zdzislaw
3 Xie, Jiansheng
3 Yang, Jiagang
3 Zvonilov, Victor
2 Akhmet’ev, Pëtr Mikhaĭlovich
2 Barnes, Julia A.
2 Berestovskiĭ, Valeriĭ Nikolaevich
2 Blokh, Alexander M.
2 Bonatti, Christian
2 Boshernitzan, Michael D.
2 Budišić, Marko
2 Bufetov, Aleksandr Igorevich
2 Conze, Jean-Pierre
2 Craizer, Marcos
2 D’Ambra, Giuseppina
2 Demers, Mark F.
2 Dooley, Anthony Haynes
2 Downarowicz, Tomasz
2 Eberlein, Ernst W.
2 Finashin, Sergey Mikhailovich
2 Furstenberg, Hillel
2 Gilmer, Patrick M.
2 Glasner, Eli
2 Gordin, Mikhail Iosifovich
2 Ioffe, Alexander Davidovich
2 Itenberg, Ilia V.
2 Itenberg, V. S.
2 Kamiński, Brunon
2 Katznelson, Yitzhak
2 Khare, Mona
2 Kharlamov, Viatcheslav M.
2 Kifer, Yuri
2 Krengel, Ulrich
2 Krieger, Wolfgang
2 Kummer, Mario Denis
2 Lemańczyk, Mariusz
2 Li, Jibin
2 Li, Tian-Jun
2 Loi, Andrea
2 Margulis, Grigoriĭ Aleksandrovich
2 Martin, Nathaniel F. G.
2 Martinez Aguilera, Servet
2 Medvedev, Vladislav Sergeevich
2 Onodera, Eiji
2 Peres, Yuval
2 Poznyak, Èduard Genrikhovich
2 Rudolph, Daniel J.
2 Sabitov, Idzhad Khakovich
2 Saleski, Alan
2 Schlafly, Roger
2 Schmidt, Klaus
2 Shapiro, Boris Zalmanovich
2 Sharapov, Victor G.
2 Shchetinin, A. N.
2 Shields, Paul C.
2 Shimano, Takashi
2 Sinaĭ, Yakov Grigor’evich
2 Tang, Zizhou
2 Thomas, Paul Emery
2 van Winter, Clasine
2 Vasil’ev, Viktor Anatol’evich
2 Walters, Peter
2 Weinberg, David Arthur
2 Weiss, Michael D.
2 Wiggins, Stephen
2 Wood, John W.
2 Zhang, Qiang
2 Zhuzhoma, Evgeniĭ Viktorovich
1 Aaronson, Jon
1 Abraham, Christophe
1 A’Campo, Norbert
1 Acosta, Daniel J.
1 Adams, Terrence M.
...and 357 more Authors
all top 5

Cited in 134 Serials

26 Israel Journal of Mathematics
24 Ergodic Theory and Dynamical Systems
19 Functional Analysis and its Applications
17 Mathematical Notes
15 Proceedings of the American Mathematical Society
15 Transactions of the American Mathematical Society
14 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
12 Journal of Mathematical Sciences (New York)
11 Inventiones Mathematicae
11 Journal of Soviet Mathematics
9 Topology and its Applications
7 Communications in Mathematical Physics
7 Ukrainian Mathematical Journal
7 Mathematical Systems Theory
7 Tohoku Mathematical Journal. Second Series
7 Bulletin of the American Mathematical Society
6 Journal of Mathematical Analysis and Applications
6 Journal of Mathematical Physics
6 Journal of Statistical Physics
6 Journal of Functional Analysis
5 Advances in Mathematics
5 Annales de l’Institut Fourier
5 Compositio Mathematica
5 Manuscripta Mathematica
5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
5 Bulletin of the American Mathematical Society. New Series
4 Mathematische Annalen
4 Mathematische Zeitschrift
4 Monatshefte für Mathematik
4 Siberian Mathematical Journal
4 Proceedings of the Japan Academy
3 Journal d’Analyse Mathématique
3 Rocky Mountain Journal of Mathematics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Duke Mathematical Journal
3 Geometriae Dedicata
3 Publications Mathématiques
3 Proceedings of the Japan Academy. Series A
3 Annals of Global Analysis and Geometry
3 Journal of the American Mathematical Society
3 Chaos
3 Algebraic & Geometric Topology
2 Computers & Mathematics with Applications
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nonlinearity
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Probability Theory and Related Fields
2 \(K\)-Theory
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal of Knot Theory and its Ramifications
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Russian Mathematics
2 St. Petersburg Mathematical Journal
2 Izvestiya: Mathematics
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Journal of the European Mathematical Society (JEMS)
2 Dynamical Systems
2 Stochastics and Dynamics
2 Kodai Mathematical Seminar Reports
2 Proceedings of the Steklov Institute of Mathematics
2 Japanese Journal of Mathematics. 3rd Series
2 Science China. Mathematics
1 Archive for History of Exact Sciences
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Communications on Pure and Applied Mathematics
1 International Journal of Theoretical Physics
1 Journal of Mathematical Biology
1 Linear and Multilinear Algebra
1 Moscow University Mathematics Bulletin
1 Periodica Mathematica Hungarica
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 The Annals of Probability
1 Automatica
1 Boletim da Sociedade Brasileira de Matemática
1 Bulletin de la Société Mathématique de France
1 Fundamenta Mathematicae
1 Integral Equations and Operator Theory
1 Journal of Applied Probability
1 Kodai Mathematical Journal
1 Mathematica Slovaca
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Results in Mathematics
1 Transactions of the Moscow Mathematical Society
1 Advances in Applied Mathematics
1 Systems & Control Letters
1 Annals of Pure and Applied Logic
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications
1 Physica D
1 Discrete & Computational Geometry
1 International Journal of Mathematics
...and 34 more Serials
all top 5

Cited in 47 Fields

143 Dynamical systems and ergodic theory (37-XX)
117 Measure and integration (28-XX)
68 Manifolds and cell complexes (57-XX)
60 Algebraic geometry (14-XX)
43 Differential geometry (53-XX)
32 Probability theory and stochastic processes (60-XX)
26 General topology (54-XX)
23 Algebraic topology (55-XX)
21 Global analysis, analysis on manifolds (58-XX)
18 Topological groups, Lie groups (22-XX)
17 Operator theory (47-XX)
16 Functional analysis (46-XX)
15 Several complex variables and analytic spaces (32-XX)
14 Number theory (11-XX)
12 Statistical mechanics, structure of matter (82-XX)
9 Partial differential equations (35-XX)
8 Quantum theory (81-XX)
7 Functions of a complex variable (30-XX)
7 Systems theory; control (93-XX)
5 History and biography (01-XX)
5 Ordinary differential equations (34-XX)
5 Geometry (51-XX)
5 Information and communication theory, circuits (94-XX)
4 Difference and functional equations (39-XX)
3 Mathematical logic and foundations (03-XX)
3 Combinatorics (05-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Real functions (26-XX)
3 Potential theory (31-XX)
2 Group theory and generalizations (20-XX)
2 Abstract harmonic analysis (43-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Statistics (62-XX)
2 Numerical analysis (65-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
2 Fluid mechanics (76-XX)
2 Relativity and gravitational theory (83-XX)
1 General algebraic systems (08-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Convex and discrete geometry (52-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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