WorldCat Identities

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

Overview
Works: 125 works in 664 publications in 5 languages and 7,740 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Honoree, Editor, Other
Classifications: QA273, 519.233
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 )

23 editions published in 1965 in 3 languages and held by 579 WorldCat member libraries worldwide

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

37 editions published between 1960 and 2012 in 3 languages and held by 490 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
Controlled Markov processes by E. B Dynkin( Book )

17 editions published between 1975 and 2013 in 3 languages and held by 442 WorldCat member libraries worldwide

Markov processes; theorems and problems by E. B Dynkin( Book )

19 editions published between 1969 and 2014 in 3 languages and held by 438 WorldCat member libraries worldwide

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

42 editions published between 1963 and 2008 in 4 languages and held by 427 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
Mathematische Unterhaltungen by E. B Dynkin( Book )

125 editions published between 1955 and 1983 in 4 languages and held by 423 WorldCat member libraries worldwide

Die Grundlagen der Theorie der Markoffschen Prozesse by E. B Dynkin( Book )

26 editions published between 1961 and 2014 in 3 languages and held by 387 WorldCat member libraries worldwide

Mathematical conversations by E. B Dynkin( Book )

4 editions published in 1963 in English and held by 342 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 335 WorldCat member libraries worldwide

Interactions between the theory of partial differential equations of elliptic and parabolic types and the theory of stochastic processes are beneficial for both probability theory and analysis. At the beginning, mostly analytic results were used by probabilists. More recently, analysts (and physicists) took inspiration from the probabilistic approach. Of course, the development of analysis in general and of the theory of partial differential equations in particular, was motivated to a great extent by problems in physics. A difference between physics and probability is that the latter provides
Mathematical problems; an anthology by E. B Dynkin( Book )

17 editions published between 1967 and 1969 in English and Undetermined and held by 245 WorldCat member libraries worldwide

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

8 editions published in 2004 in English and held by 230 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
The Dynkin festschrift : Markov processes and their applications( Book )

6 editions published between 1994 and 2013 in English and held by 210 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 : E.B. Dynkin's seminar by S. G Gindikin( Book )

7 editions published in 1995 in English and held by 195 WorldCat member libraries worldwide

In celebration of E. B. Dynkin's 70th birthday, this book presents current papers by those who participated in Dynkin's seminar on Lie groups and Lie algebras in the late 1950s and early 1960s. Dynkin had a major influence not only on mathematics, but also on the students who attended his seminar-many of whom are today's leading mathematicians in Russia and in the U. S. Dynkin's contributions to the theory of Lie groups is well known, and the survey paper by Karpelevich, Onishchik, and Vinberg allows readers to gain a deeper understanding of this work. Features several aspects of modern develo
Sätze und Aufgaben über Markoffsche Prozesse by E. B Dynkin( Book )

13 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 )

19 editions published between 1962 and 1963 in French and English and held by 177 WorldCat member libraries worldwide

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

10 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 148 WorldCat member libraries worldwide

Multicolor problems by E. B Dynkin( Book )

5 editions published in 1963 in English and held by 76 WorldCat member libraries worldwide

Markov processes by E. B Dynkin( Book )

11 editions published in 1965 in English and German and held by 60 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
Dyn’kin, E.

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, Evgenĭi Borisovich 1924-

Dynkin Evgeniĭ Borisovich 1924-2014

Dynkin, Evgenij Borisovič

Dynkin, Evgenij Borisovič 1924-2014

Dynkin, Evgeny B.

Dynkin, Ewgenij Borisowič 1924-

Dynkin, J.

Dynkin, Jewgeni B. 1924-2014

Dynkine, Evgueni Borisovitch 1924-...

Dynkine Evgueni Borisovitch 1924-2014

Eugene Dynkin matemàtic rus

Eugene Dynkin matemático ruso

Eugene Dynkin Russian-American mathematician

Eugene Dynkin Russian mathematician

Eugene Dynkin Russisch wiskundige (1924-2014)

Eugene Dynkin russischer Mathematiker

Eugène Dynkine mathématicien russe

Evgenij Borisovič Dynkin matematico russo

Jevgenij Dinkin

Jevgenij Dinkin Rusa matematikisto

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

イェヴゲニ・ディンキン

ドゥインキン, イエ・ベ

尤金·登金

Languages
English (219)

German (140)

French (18)

Russian (11)

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