Rokhlin, V. A.
Overview
Works:  34 works in 113 publications in 4 languages and 1,102 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Honoree, Dedicatee, Editor, Translator, Other 
Publication Timeline
.
Most widely held works about
V. A Rokhlin
 Ueber Ketohalogenverbindungen des Phenols und der Kresole by Theodor Jilke( Book )
 Topology and geometry : Rohlin seminar by O. I︠A︡ Viro( Book )
 Remembrances of Vladimir Abramovich Rokhlin( Book )
Most widely held works by
V. A Rokhlin
Beginner's course in topology : geometric chapters by
V. A Rokhlin(
Book
)
17 editions published between 1981 and 2004 in English and Undetermined and held by 422 WorldCat member libraries worldwide
17 editions published between 1981 and 2004 in English and Undetermined and held by 422 WorldCat member libraries worldwide
Topology, ergodic theory, real algebraic geometry : Rokhlin's memorial(
Book
)
7 editions published in 2001 in English and held by 210 WorldCat member libraries worldwide
This book is dedicated to the memory of the Russian mathematician, V.A. Rokhlin (19191984). It is a collection of research papers written by his former students and followers, who are now experts in their fields
7 editions published in 2001 in English and held by 210 WorldCat member libraries worldwide
This book is dedicated to the memory of the Russian mathematician, V.A. Rokhlin (19191984). It is a collection of research papers written by his former students and followers, who are now experts in their fields
Topology II : homotopy and homology : classical manifolds by
S. P Novikov(
Book
)
14 editions published between 2003 and 2004 in English and held by 134 WorldCat member libraries worldwide
Two top experts in topology, O. Ya. Viro and D.B. Fuchs, give an uptodate account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and lowdimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics
14 editions published between 2003 and 2004 in English and held by 134 WorldCat member libraries worldwide
Two top experts in topology, O. Ya. Viro and D.B. Fuchs, give an uptodate account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and lowdimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics
On the fundamental ideas of measure theory / prepared under contract N8onr553 with the Office of Naval Research by the American
Mathematical Society by
V. A Rokhlin(
Book
)
6 editions published in 1952 in English and held by 18 WorldCat member libraries worldwide
6 editions published in 1952 in English and held by 18 WorldCat member libraries worldwide
A la recherche de la topologie perdue : I. Du côté de chez Rohlin : II. Le côté de Casson by
Lucien Guillou(
Book
)
3 editions published in 1986 in French and English and held by 17 WorldCat member libraries worldwide
3 editions published in 1986 in French and English and held by 17 WorldCat member libraries worldwide
Topology and geometry : Rohlin seminar by
O. I︠A︡ Viro(
Book
)
3 editions published in 1988 in English and held by 9 WorldCat member libraries worldwide
Annotation
3 editions published in 1988 in English and held by 9 WorldCat member libraries worldwide
Annotation
Functional analysis and measure theory by
American Mathematical Society(
Book
)
3 editions published between 1962 and 1980 in English and held by 5 WorldCat member libraries worldwide
3 editions published between 1962 and 1980 in English and held by 5 WorldCat member libraries worldwide
The theory of functions by
E. C Titchmarsh(
Book
)
4 editions published between 1951 and 1980 in Russian and held by 4 WorldCat member libraries worldwide
The success which this book has achieve proves that Professor Titchmarsh was right in anticipating that the collection which he describes too modestly as consisting of 'rather disconnected introductions to various branches of the theory of functions' would be of service to students to whom the mass of existing material appeared 'rather formidable'. It proves, too, that early reviewers were right in recognizing a quality of readability in his writing; in effect, the advice given to students was: 'This is a book from which you will be able to learn how to do mathematics', and we cannot do better than repeat this advice with all the confidence that comes from knowing that it has been endorsed by those best situated to discover that it was sound, namely, the students who have followed it. Nature
4 editions published between 1951 and 1980 in Russian and held by 4 WorldCat member libraries worldwide
The success which this book has achieve proves that Professor Titchmarsh was right in anticipating that the collection which he describes too modestly as consisting of 'rather disconnected introductions to various branches of the theory of functions' would be of service to students to whom the mass of existing material appeared 'rather formidable'. It proves, too, that early reviewers were right in recognizing a quality of readability in his writing; in effect, the advice given to students was: 'This is a book from which you will be able to learn how to do mathematics', and we cannot do better than repeat this advice with all the confidence that comes from knowing that it has been endorsed by those best situated to discover that it was sound, namely, the students who have followed it. Nature
Izbrannye raboty : vospominanii︠a︡ o V.A. Rokhline by
V. A Rokhlin(
Book
)
2 editions published in 1999 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1999 in Russian and held by 3 WorldCat member libraries worldwide
American mathematical society translations by
P. E Sobolevskii(
Book
)
1 edition published in 1966 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1966 in English and held by 3 WorldCat member libraries worldwide
A randomized algorithm for the approximation of matrices by PerGunnar Martinsson(
Book
)
3 editions published in 2006 in English and held by 2 WorldCat member libraries worldwide
Given an m * n matrix A and a positive integer k, we introduce a randomized procedure for the approximation of A with a matrix Z of rank k. The procedure relies on applying A(exp T) to a collection of l random vectors, where l is an integer equal to or slightly greater than k; the scheme is e cient whenever A and A(exp T) can be applied rapidly to arbitrary vectors. The discrepancy between A and Z is of the same order as the (k+1)(exp st) greatest singular value sigma k+1 of A, with negligible probability of even moderately large deviations. The actual estimates derived in the paper are fairly complicated, but are simpler when lk is a fixed small nonnegative integer. For example, according to one of our estimates for lk = 20, the probability that the spectral norm [vertical[verticalA Z[vertical[vertical is greater than 10 square root(k + 20)msigmak+1 is less than 10(exp 17). The paper contains a number of estimates for [vertical[verticalAZ[vertical[vertical, including several that are stronger (but more detailed) than the preceding example; some of the estimates are e ectively independent of m. Thus, given a matrix A of limited numerical rank, such that both A and AT can be applied rapidly to arbitrary vectors, the scheme provides a simple, efficient means for constructing an accurate approximation to a Singular Value Decomposition of A. Furthermore, the algorithm presented here operates reliably independently of the structure of the matrix A. The results are illustrated via several numerical examples
3 editions published in 2006 in English and held by 2 WorldCat member libraries worldwide
Given an m * n matrix A and a positive integer k, we introduce a randomized procedure for the approximation of A with a matrix Z of rank k. The procedure relies on applying A(exp T) to a collection of l random vectors, where l is an integer equal to or slightly greater than k; the scheme is e cient whenever A and A(exp T) can be applied rapidly to arbitrary vectors. The discrepancy between A and Z is of the same order as the (k+1)(exp st) greatest singular value sigma k+1 of A, with negligible probability of even moderately large deviations. The actual estimates derived in the paper are fairly complicated, but are simpler when lk is a fixed small nonnegative integer. For example, according to one of our estimates for lk = 20, the probability that the spectral norm [vertical[verticalA Z[vertical[vertical is greater than 10 square root(k + 20)msigmak+1 is less than 10(exp 17). The paper contains a number of estimates for [vertical[verticalAZ[vertical[vertical, including several that are stronger (but more detailed) than the preceding example; some of the estimates are e ectively independent of m. Thus, given a matrix A of limited numerical rank, such that both A and AT can be applied rapidly to arbitrary vectors, the scheme provides a simple, efficient means for constructing an accurate approximation to a Singular Value Decomposition of A. Furthermore, the algorithm presented here operates reliably independently of the structure of the matrix A. The results are illustrated via several numerical examples
Ten Papers on Topology by P. S. M Bognar(
)
1 edition published in 1963 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1963 in English and held by 0 WorldCat member libraries worldwide
Approximationssätze für messbare Strömungen by
A. A Gurevic(
)
2 editions published between 1970 and 2007 in German and held by 0 WorldCat member libraries worldwide
2 editions published between 1970 and 2007 in German and held by 0 WorldCat member libraries worldwide
Über Endomorphismen kompakter kommutativer Gruppen by
V. A Rokhlin(
)
2 editions published between 1970 and 2007 in German and held by 0 WorldCat member libraries worldwide
2 editions published between 1970 and 2007 in German and held by 0 WorldCat member libraries worldwide
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Related Identities
 Fuks, D. B. Author
 Vershik, A. M. (Anatoliĭ Moiseevich) 1933 Editor
 Turaev, V. G. (Vladimir G.) 1954 Other Editor
 Novikov, Sergeĭ Petrovich Author Editor
 Viro, Oleg Yanovič (1948 ...). Other Editor
 Wagenknecht, Monika Translator Contributor
 Shaddock, C. J.
 Guillou, Lucien
 Jilke, Theodor 1878 Author
 Palamodov, V. P.
Useful Links
Associated Subjects
Alternative Names
Rochlin, Vladimir Abramovič
Rochlin, Vladimir Abramovič 19191984
Rochlin, Vladimir Abramovič. [t]
Rochlin, Wladimir A. 19191984
Rochlin, Wladimir Abramowitsch 19191984
Rohlin
Rohlin, V.
Rohlin V. A.
Rohlin, Vladimir 19191984
Rohlin, Vladimir Abramovich 19191984
Rokhlin, V. A.
Rokhlin, V. A. 19191984
Rokhlin, Vladimir.
Rokhlin Vladimir Abramovic
Rokhlin, Vladimir Abramovich.
Rokhlin, Vladimir Abramovich 19191984
Rokhline Vladimir Abramovitch 19191984
Vladimir Abramoviĉ Roĥlin Rusa matematikisto
Vladimir Abramovich Rokhlin matemático ruso
Vladimir Abramovich Rokhlin mathématicien russe
Vladimir Abramovich Rokhlin Russian mathematician
Vladimir Abramovich Rokhlin Russisch wiskundige (19191984)
Vladimir Abramovich Rokhlin Soviet mathematician, working in the fields of topology, geometry and ergodic theory
Vladimir Abramovitj Rochlin rysk matematiker
Vladimir Roxlin
Wladimir Abramowitsch Rochlin russischer Mathematiker
Рохлин, Владимир Абрамович.
Рохлин, Владимир Абрамович 19191984
فلاديمير روخلين رياضياتي روسي
ولادیمیر روخلین
ولادیمیر روخلین ریاضیدان روسی
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