WorldCat Identities

Dynkin, E. B. (Evgeniĭ Borisovich) 1924-2014

Overview
Works: 119 works in 625 publications in 5 languages and 7,587 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Honoree, Editor, Other
Classifications: QA273, 519.1
Publication Timeline
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Most widely held works about E. B Dynkin
 
Most widely held works by E. B Dynkin
Markov processes by E. B Dynkin( Book )

24 editions published in 1965 in 3 languages and held by 583 WorldCat member libraries worldwide

Theory of Markov processes by E. B Dynkin( Book )

40 editions published between 1959 and 2012 in 3 languages and held by 517 WorldCat member libraries worldwide

Cover; Title Page; Copyright Page; Contents; Preface; THEORY OF MARKOV PROCESSES; Chapter 1 - Introduction; 1. Measurable spaces and measurable sets; 2. Measures and intergrals; 3. Conditional probabilities and mathematical expectations; 4. Topological measurable spaces; 5. The construction of probability measures; Chapter 2 - Markov Processes; 1. The definition of Markov processes; 2. Stationary Markov processes; 3. Equivalent of Markov processes; Chapter 3 - Subprocesses; 1. The definition of Subprocesses. The connexion between subprocesses and multiplicative functionals
Markov processes; theorems and problems by E. B Dynkin( Book )

23 editions published between 1967 and 2014 in 4 languages and held by 487 WorldCat member libraries worldwide

Controlled Markov processes by E. B Dynkin( Book )

17 editions published between 1975 and 2013 in 3 languages and held by 446 WorldCat member libraries worldwide

Markov processes and related problems of analysis by E. B Dynkin( Book )

37 editions published between 1963 and 2008 in 4 languages and held by 387 WorldCat member libraries worldwide

The theory of Markov Processes has become a powerful tool in partial differential equations and potential theory with important applications to physics
Die Grundlagen der Theorie der Markoffschen Prozesse by E. B Dynkin( Book )

24 editions published between 1961 and 2014 in 3 languages and held by 386 WorldCat member libraries worldwide

Mathematical conversations by E. B Dynkin( Book )

4 editions published in 1963 in English and held by 348 WorldCat member libraries worldwide

Diffusions, superdiffusions, and partial differential equations by E. B Dynkin( Book )

12 editions published in 2002 in English and held by 332 WorldCat member libraries worldwide

Mathematical problems; an anthology by E. B Dynkin( Book )

16 editions published between 1967 and 1969 in English and Undetermined and held by 248 WorldCat member libraries worldwide

Superdiffusions and positive solutions of nonlinear partial differential equations by E. B Dynkin( Book )

9 editions published in 2004 in English and held by 227 WorldCat member libraries worldwide

"This book is devoted to the applications of probability theory to the theory of nonlinear partial differential equations. More precisely, it is shown that all positive solutions for a class of nonlinear elliptic equations in a domain are described in terms of their traces on the boundary of the domain. The main probabilistic tool is the theory of superdiffusions, which describes a random evolution of a cloud of particles. A substantial enhancement of this theory is presented that can be of interest for everybody who works on applications of probabilistic methods to mathematical analysis."--Jacket
Mathematische Unterhaltungen by E. B Dynkin( Book )

61 editions published between 1955 and 1976 in 4 languages and held by 218 WorldCat member libraries worldwide

The Dynkin festschrift : Markov processes and their applications( Book )

7 editions published between 1994 and 2013 in English and held by 212 WorldCat member libraries worldwide

Onishchik, A.A. Kirillov, and E.B. Vinberg, who obtained their first results on Lie groups in Dynkin's seminar. At a later stage, the work of the seminar was greatly enriched by the active participation of 1. 1. Pyatetskii Shapiro. As already noted, Dynkin started to work in probability as far back as his undergraduate studies. In fact, his first published paper deals with a problem arising in Markov chain theory. The most significant among his earliest probabilistic results concern sufficient statistics. In [15] and [17], Dynkin described all families of one-dimensional probability distributions admitting non-trivial sufficient statistics. These papers have considerably influenced the subsequent research in this field. But Dynkin's most famous results in probability concern the theory of Markov processes. Following Kolmogorov, Feller, Doob and Ito, Dynkin opened a new chapter in the theory of Markov processes. He created the fundamental concept of a Markov process as a family of measures corresponding to var ious initial times and states and he defined time homogeneous processes in terms of the shift operators ()t. In a joint paper with his student A
Lie groups and Lie algebras I by V. V Gorbatsevich( Book )

6 editions published in 1995 in English and held by 196 WorldCat member libraries worldwide

From the reviews: "This volume consists of two parts. ... Part I is devoted to a systematic development of the theory of Lie groups. The Lie algebras are studied only in connection with Lie groups, i.e. a systematic study of the Lie algebras is included here. Neither the structural theory of the Lie groups and Lie algebras nor a systematic study of the topology of Lie groups form the subject of this volume. On the other hand, Part I contains a very interesting chapter on generalizations of Lie groups including very recent results. We find here Lie groups over non-archimedian fields, formal groups, infinite dimensional Lie groups and also analytic loops. Part II deals on an advanced level with actions of Lie groups on manifolds and includes subjec ts like Lie groups actions on manifolds, transitive actions, actions of compact Lie groups on low-dimensional manifolds. Though the authors state that the geometry and topology of Lie groups is almost entirely beyond the scope of this survey, one can learn a lot in these directions. Both parts are very nicely written and can be strongly recommended." European Mathematical Society Newsletter, 1993 " ... the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source ... This is a hand- rather than a textbook. ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" The New Zealand Mathematical Society Newsletter, 1994
Sätze und Aufgaben über Markoffsche Prozesse by E. B Dynkin( Book )

12 editions published in 1969 in German and Undetermined and held by 189 WorldCat member libraries worldwide

Théorie des processus markoviens by E. B Dynkin( Book )

14 editions published between 1962 and 1963 in French and English and held by 166 WorldCat member libraries worldwide

An introduction to branching measure-valued processes by E. B Dynkin( Book )

9 editions published in 1994 in English and held by 156 WorldCat member libraries worldwide

Selected papers of E.B. Dynkin with commentary by E. B Dynkin( Book )

8 editions published in 2000 in English and held by 145 WorldCat member libraries worldwide

Mathematische Unterhaltungen : Aufgaben über das Mehrfarbenproblem, aus der Zahlentheorie und der Wahrscheinlichkeitsrechnung by E. B Dynkin( Book )

37 editions published between 1955 and 1983 in 3 languages and held by 129 WorldCat member libraries worldwide

Markov processes by E. B Dynkin( Book )

13 editions published in 1965 in English and German and held by 80 WorldCat member libraries worldwide

Mathematical conversations : Multicolor problems, Problems in the theory of numbers, and Random walks by E. B Dynkin( Book )

8 editions published between 2006 and 2013 in English and held by 52 WorldCat member libraries worldwide

Cover; Title Page; Copyright Page; Contents; Section I: Multicolor Problems; Introduction; Chapter 1. Coloring with Two Colors; 1. Simple Two-Color Problems; 2. Problems on Square Boards; 3. Problems Involving Even and Odd Numbers; 4. Networks and Maps; 5. General Two-Color Problems; Chapter 2. Coloring with Three Colors; 6. A simple Three-Color Problem; 7. Problems on Hexagonal Boards; 8. Dual Diagrams; 9. Triangulation; 10. Dual Maps; 11. Normal Maps in Three Colors; Chapter 3. The Four-Color Problem; 12. Normal Maps in Four Colors; 13. Volynskii's Theorem; Chapter 4. The Five-Color Theorem
 
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Markov processes and related problems of analysis
Alternative Names
Dynkin, E. B.

Dynkin, E. B. 1924-

Dynkin, E.B. 1924-2014

Dynkin, E. B. (Evgeniĭ Borisovich), 1924-

Dynkin, Eug`ne B.

Dynkin, Eugene 1924-2014

Dynkin, Eugene B.

Dynkin Eugene B. 1924-....

Dynkin, Eugene B. 1924-2014

Dynkin, Eugene Borisovich 1924-2014

Dynkin, Evgeniĭ B.

Dynkin, Evgeniĭ B. 1924-2014

Dynkin, Evgenii Borisovič.

Dynkin, Evgeniĭ Borisovich

Dynkin Evgeniĭ Borisovich 1924-....

Dynkin, Evgeniĭ Borisovich 1924-2014

Dynkin, Evgenij Borisovič

Dynkin, Evgenij Borisovič 1924-2014

Dynkin, Ewgenij Borisowič 1924-

Dynkin, J.

Dynkin, Jewgeni B. 1924-2014

Dynkine Evgueni Borisovitch 1924-....

Eugene Dynkin Russian-American mathematician

Eugene Dynkin Russisch wiskundige (1924-2014)

Eugene Dynkin russischer Mathematiker

Eugène Dynkine mathématicien russe

Evgenij Borisovič Dynkin matematico russo

Jevgenij Dinkin

Динкін Євген Борисович

Дынкин, Е. Б.

Дынкин, Е. Б 1924-2014

Дынкин, Е. Б. (Евгений Борисович), 1924-2014

Дынкин, Евгений Борисович

Дынкин, Евгений Борисович 1924-2014

Јевгениј Динкин

예브게니 딘킨

ドゥインキン, イエ・ベ

尤金·登金

Languages
English (214)

German (116)

Russian (17)

French (13)

Italian (3)

Covers
Markov processes and related problems of analysisDiffusions, superdiffusions, and partial differential equationsSuperdiffusions and positive solutions of nonlinear partial differential equationsSelected papers of E.B. Dynkin with commentaryMathematical conversations : Multicolor problems, Problems in the theory of numbers, and Random walks