Dynkin, E. B. (Evgeniĭ Borisovich) 19242014
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
 Eugene B. Dynkin Collection of Mathematics Interviews by 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
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
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 TwoColor Problems; 2. Problems on Square Boards; 3. Problems Involving Even and Odd Numbers; 4. Networks and Maps; 5. General TwoColor Problems; Chapter 2. Coloring with Three Colors; 6. A simple ThreeColor Problem; 7. Problems on Hexagonal Boards; 8. Dual Diagrams; 9. Triangulation; 10. Dual Maps; 11. Normal Maps in Three Colors; Chapter 3. The FourColor Problem; 12. Normal Maps in Four Colors; 13. Volynskii's Theorem; Chapter 4. The FiveColor Theorem
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 TwoColor Problems; 2. Problems on Square Boards; 3. Problems Involving Even and Odd Numbers; 4. Networks and Maps; 5. General TwoColor Problems; Chapter 2. Coloring with Three Colors; 6. A simple ThreeColor Problem; 7. Problems on Hexagonal Boards; 8. Dual Diagrams; 9. Triangulation; 10. Dual Maps; 11. Normal Maps in Three Colors; Chapter 3. The FourColor Problem; 12. Normal Maps in Four Colors; 13. Volynskii's Theorem; Chapter 4. The FiveColor 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
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
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
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 onedimensional probability distributions admitting nontrivial 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
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 onedimensional probability distributions admitting nontrivial 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
12 editions published in 1969 in German and Undetermined and held by 188 WorldCat member libraries worldwide
An introduction to branching measurevalued processes by
E. B Dynkin(
Book
)
9 editions published in 1994 in English and held by 155 WorldCat member libraries worldwide
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
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
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
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
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
1 edition published in 1965 in German and held by 2 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Uspenskiĭ, V. A. (Vladimir Andreevich)
 Yushkevich, A. A. (Alexander Adolph) 1930 Editor
 Freĭdlin, M. I. (Mark Iosifovich) Editor
 Silverman, Richard A. Translator
 Gindikin, S. G. (Semen Grigorʹevich) Other Editor
 Vinberg, Ė. B. (Ėrnest Borisovich) Other Editor
 Sosinskiĭ, A. B. (Alekseĭ Bronislavovich) Translator
 I︠ ︡Ushkevich, A. A.
 Seitz, Gary M. 1943 Editor
 Onishchik, A. L. Editor
Useful Links
Associated Subjects
Branching processes Control theory Differential equations, Elliptic Differential equations, Nonlinear Differential equations, Parabolic Differential equations, Partial Diffusion processes Dynkin, E. B.(Evgeniĭ Borisovich), Fourcolor problem Lie algebras Lie groups Markov, A. A.(Andreĭ Andreevich), Markov processes Mathematical optimization Mathematics MathematicsStudy and teaching Probabilities Random walks (Mathematics) Soviet Union Topology
Alternative Names
Dynkin, E. B.
Dynkin, E. B. 1924
Dynkin, E.B. 19242014
Dynkin, E. B. (Evgeniĭ Borisovich), 1924
Dynkin, Eug`ne B.
Dynkin, Eugene 19242014
Dynkin, Eugene B.
Dynkin Eugene B. 1924....
Dynkin, Eugene B. 19242014
Dynkin, Eugene Borisovich 19242014
Dynkin, Evgenii B
Dynkin, Evgeniĭ B. 19242014
Dynkin, Evgenii Borisovič.
Dynkin, Evgeniĭ Borisovich
Dynkin Evgeniĭ Borisovich 1924....
Dynkin, Evgeniĭ Borisovich 19242014
Dynkin, Evgenij Borisovič
Dynkin, Evgenij Borisovič 19242014
Dynkin, Ewgenij Borisowič 1924
Dynkin, J.
Dynkin, Jewgeni B. 19242014
Dynkine Evgueni Borisovitch 1924....
Eugene Dynkin RussianAmerican mathematician
Eugene Dynkin Russisch wiskundige (19242014)
Eugene Dynkin russischer Mathematiker
Eugène Dynkine mathématicien russe
Evgenij Borisovič Dynkin matematico russo
Jevgenij Dinkin
Динкін Євген Борисович
Дынкин, Е. Б 19242014
Дынкин, Е. Б. (Евгений Борисович), 19242014
Дынкин, Евгений Борисович
Дынкин, Евгений Борисович 19242014
Јевгениј Динкин
예브게니 딘킨
尤金·登金
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