WorldCat Identities

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

Overview
Works: 97 works in 582 publications in 6 languages and 6,039 library holdings
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; theorems and problems by E. B Dynkin( Book )

124 editions published between 1959 and 2014 in 6 languages and held by 1,040 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
Diffusions, superdiffusions, and partial differential equations by E. B Dynkin( Book )

20 editions published between 2002 and 2004 in English and held by 557 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 )

147 editions published between 1952 and 2013 in 5 languages and held by 543 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
Controlled Markov processes by E. B Dynkin( Book )

20 editions published between 1975 and 2013 in 3 languages and held by 475 WorldCat member libraries worldwide

Mathematical conversations by E. B Dynkin( Book )

16 editions published in 1963 in English and Multiple languages and held by 417 WorldCat member libraries worldwide

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

15 editions published between 1967 and 1969 in English and Undetermined and held by 244 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 208 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
Sätze und Aufgaben über Markoffsche Prozesse by E. B Dynkin( Book )

12 editions published in 1969 in German and Undetermined and held by 188 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 155 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

Multicolor problems by E. B Dynkin( Book )

6 editions published in 1963 in English and held by 78 WorldCat member libraries worldwide

Teoremy i zadachi o protsessakh Markova by E. B Dynkin( Book )

11 editions published between 1967 and 2014 in 3 languages and held by 64 WorldCat member libraries worldwide

Aufgaben aus der Wahrscheinlichkeitsrechnung : Irrfahrten (Markoffsche Ketten) by E. B Dynkin( Book )

7 editions published between 1956 and 1976 in German and held by 37 WorldCat member libraries worldwide

Markov processes by E. B Dynkin( Book )

1 edition published in 1965 in German and held by 2 WorldCat member libraries worldwide

 
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Audience level: 0.66 (from 0.42 for Mathematic ... to 0.91 for Aufgaben a ...)

Diffusions, superdiffusions, and partial differential equations
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, Evgenii 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 1924-2014

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

Дынкин, Евгений Борисович

Дынкин, Евгений Борисович 1924-2014

Јевгениј Динкин

예브게니 딘킨

尤金·登金

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Diffusions, superdiffusions, and partial differential equationsMathematische UnterhaltungenSelected papers of E.B. Dynkin with commentary