Eugene Dynkin
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Russian mathematician
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Eugene Dynkinmathematics Degrees
Mathematics
#137
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#335
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#59
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Measure Theory
#743
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#1000
Historical Rank
#294
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Mathematics
Why Is Eugene Dynkin Influential?
(Suggest an Edit or Addition)According to Wikipedia, Eugene Borisovich Dynkin was a Soviet and American mathematician. He made contributions to the fields of probability and algebra, especially semisimple Lie groups, Lie algebras, and Markov processes. The Dynkin diagram, the Dynkin system, and Dynkin's lemma are named after him.
Eugene Dynkin's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Semisimple subalgebras of semisimple Lie algebras (1957) (831)
- The maximal subgroups of the classical groups (1960) (292)
- An introduction to branching measure-valued processes (1994) (202)
- Game variant of a problem on optimal stopping (1969) (199)
- Superprocesses and Partial Differential Equations (1993) (198)
- Branching particle systems and superprocesses (1991) (196)
- Sufficient Statistics and Extreme Points (1978) (176)
- A probabilistic approach to one class of nonlinear differential equations (1991) (162)
- Diffusions, Superdiffusions and Partial Differential Equations (2002) (150)
- Theory of Markov Processes. (1962) (146)
- Symmetric Statistics, Poisson Point Processes, and Multiple Wiener Integrals (1983) (129)
- Gaussian and non-Gaussian random fields associated with Markov processes (1984) (108)
- BOUNDARY THEORY OF MARKOV PROCESSES (THE DISCRETE CASE) (1969) (102)
- Markov processes; theorems and problems (2013) (91)
- SUPERDIFFUSIONS AND REMOVABLE SINGULARITIES FOR QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS (1996) (84)
- Self-Intersection Gauge for Random Walks and for Brownian Motion (1988) (81)
- Superdiffusions and positive solutions of non-linear partial differential equations (2004) (76)
- Functionals of Markov processes (1965) (74)
- Controlled Random Sequences (1965) (73)
- Markov processes as a tool in field theory (1983) (72)
- Local Times and Quantum Fields (1984) (72)
- Path processes and historical superprocesses (1991) (72)
- Markov processes and random fields (1980) (67)
- Regular Conditional Expectations of Correspondences (1977) (62)
- Superdiffusions and Parabolic Nonlinear Differential Equations (1992) (61)
- Polynomials of the occupation field and related random fields (1984) (60)
- Three classes of infinite-dimensional diffusions (1989) (55)
- FINE TOPOLOGY AND FINE TRACE ON THE BOUNDARY ASSOCIATED WITH A CLASS OF SEMILINEAR DIFFERENTIAL EQUATIONS (1998) (55)
- Trace on the boundary for solutions of nonlinear differential equations (1998) (52)
- Regularized Self-Intersection Local Times of Planar Brownian Motion (1988) (51)
- Selected papers of E.B. Dynkin with commentary (2000) (49)
- -measures for branching exit Markov systems and their applications to differential equations (2004) (46)
- Superprocesses and their linear additive functionals (1989) (45)
- Additive functionals of several time-reversible Markov processes (1981) (44)
- THE INITIAL AND FINAL BEHAVIOUR OF TRAJECTORIES OF MARKOV PROCESSES (1971) (44)
- Minimal excessive measures and functions (1980) (42)
- Normed Lie Algebras and Analytic Groups (1953) (37)
- MARKOV PROCESSES AND RELATED PROBLEMS OF ANALYSIS (1982) (36)
- INTEGRAL REPRESENTATION OF EXCESSIVE MEASURES AND EXCESSIVE FUNCTIONS (1972) (34)
- THE SPACE OF EXITS OF A MARKOV PROCESS (1969) (33)
- Green's and Dirichlet spaces associated with fine Markov processes☆ (1982) (32)
- REGULAR MARKOV PROCESSES (1973) (31)
- Random fields associated with multiple points of the Brownian motion (1985) (29)
- Markov Processes: Volume 1 (2012) (28)
- Branching measure-valued processes (1994) (26)
- STOCHASTIC CONCAVE DYNAMIC PROGRAMMING (1972) (26)
- Solutions of nonlinear differential equations on a Riemannian manifold and their trace on the Martin boundary (1998) (23)
- ENTRANCE AND EXIT SPACES FOR A MARKOV PROCESS (1970) (21)
- On regularity of superprocesses (1993) (21)
- Solutions ofLu=uα dominated byL-harmonic functions (1996) (21)
- Harmonic functions associated with several Markov processes (1981) (20)
- Markov snakes and superprocesses (1995) (20)
- Regular transition functions and regular superprocesses (1989) (19)
- Infinitesimal Operators of Markov Processes (1956) (19)
- Stochastic Boundary Values and Boundary Singularities for Solutions of the EquationLu=uα (1998) (19)
- Linear additive functionals of superdiffusions and related nonlinear P.D.E. (1996) (18)
- Branching exit Markov systems and superprocesses (2001) (18)
- MARKOV REPRESENTATIONS OF STOCHASTIC SYSTEMS (1975) (16)
- Nonlinear parabolic P.D.E.\ and additive functionals of superdiffusions (1997) (16)
- Kolmogorov and the Theory of Markov Processes (1989) (15)
- Markov Systems and Their Additive Functionals (1977) (15)
- Discontinuous Markov Processes (1958) (15)
- An application of flows to time shift and time reversal in stochastic processes (1985) (15)
- Additive Functionals of a Wiener Process Determined by Stochastic Integrals (1960) (13)
- Enhanced Dynkin diagrams and Weyl orbits (2009) (13)
- Harmonic functions and exit boundary of superdiffusion (2004) (13)
- One-Dimensional Continuous Strong Markov Processes (1959) (13)
- Additive functionals of Markov processes and stochastic systems (1975) (12)
- Additive functionals and entrance laws (1985) (12)
- Wanderings of a Markov Process (1971) (12)
- Natural linear additive functionals of superprocesses (1997) (12)
- On Extensions of a Markov Process (1968) (11)
- Markov Processes and Semigroups of Operators (1956) (11)
- Excessive Functions and the Exit Space of a Markov Process (1970) (11)
- General Boundary Conditions for Denumberable Markov Processes (1967) (11)
- Green's and Dirichlet spaces for a symmetric Markov transition function (1983) (11)
- Infinitesimal operators of transition functions (1965) (10)
- Sufficient statistics and extreme points (Ann. Prob. 6 (1978) 705–730) (1982) (10)
- Functionals associated with self-intersections of the planar Brownian motion (1986) (10)
- Markov processes, random fields and Dirichlet spaces☆ (1981) (9)
- Extinction of Superdiffusions and Semilinear Partial Differential Equations (1999) (9)
- Problems in the theory of numbers (1963) (9)
- Solutions of Semilinear Differential Equations Related to Harmonic Functions (2000) (9)
- Self-intersection local times, occupation fields, and stochastic integrals (1987) (8)
- Markov Processes and Related Problems of Analysis: Contents (1982) (8)
- A new relation between diffusions and superdiffusions with applications to the equation lu=uα (1997) (7)
- On extreme X-harmonic functions (2006) (7)
- The Dynkin festschrift : Markov processes and their applications (1994) (7)
- Transformations of Markov Processes Connected with Additive Functionals (1961) (7)
- Boundary theory of Markov processes (the discrete case) (RMS 24:2 (1969) 1–42) (1982) (7)
- Stochastic processes on random domains (1987) (6)
- A note on $X$-harmonic functions (2006) (6)
- Multiple path integrals (1986) (6)
- Additive Functionals of Superdiffusion Processes (1991) (5)
- On a new approach to Markov processes (1976) (5)
- Birth delay of a Markov process and the stopping distributions for regular processes (1993) (5)
- On upper bounds for positive solutions of semilinear equations (2004) (5)
- Semilinear Parabolic Equations, Diffusions, and Superdiffusions (1998) (5)
- General lateral conditions for some diffusion processes (1967) (5)
- Markov Processes and Related Problems of Analysis: Integral representation of excessive measures and excessive functions (RMS 27:1 (1972) 43–84 (1982) (4)
- Branching with a single point catalyst (1995) (4)
- MARTIN BOUNDARIES AND NON-NEGATIVE SOLUTIONS OF A BOUNDARY VALUE PROBLEM WITH A DIRECTIONAL DERIVATIVE (1964) (4)
- PROBABILISTIC METHODS IN ANALYSIS (2005) (3)
- PROBABILISTIC METHODS IN ANALYSIS (2005) (3)
- Representation for functionals of superprocesses by multiple stochastic integrals, with applications to self-intersection local times (2019) (3)
- Short Communication: A Probabilistic Approachto a Nonlinear Differential Equationon a Riemannian Manifold (1998) (3)
- Representation for functionals of superprocesses by multiple stochastic integrals, with applications to self-intersection local times (2019) (3)
- Solutions of a class of semilinear differential equations: trace and singularities on the boundary (1999) (3)
- Absolute continuity results for superdiffusions with applications to differential equations (2004) (3)
- Markov Processes (1965) (2)
- Eleven Papers on Analysis, Probability and Topology (1959) (2)
- A Probabilistic Approach to the Equation Lu=−u2☆ (2000) (2)
- Gaussian random fields and Gaussian evolutions (1983) (2)
- Bessel capacities on compact manifolds and their relation to Poisson capacities (2007) (2)
- Six Lectures Delivered at the International Congress of Mathematicians in Stockholm, 1962 (1963) (2)
- Generalized random fields related to self-intersections of the Brownian motion. (1986) (2)
- Stochastic Waves1 (1)
- Sufficient Statistics for the Optimal Stopping Problem (1968) (1)
- Martin boundaries and non-negative solutions of a boundary value problem with a directional derivative (RMS 19:5 (1964) 1–48) (1982) (1)
- Exit Laws and Excessive Functions for Superprocesses (2000) (1)
- Characteristic operators of Markov processes Differential generators of diffusion processes (1965) (1)
- A type of interaction between superprocesses and branching particle systems (1994) (1)
- Minimal excessive measures and functions (Trans. AMS 258 (1980) 217–244) (1982) (1)
- Five papers on algebra and group theory (1957) (1)
- EXCESSIVE MEASURES AND ENTRY LAWS FOR A MARKOV PROCESS (1971) (1)
- Markov Processes and Related Problems of Analysis: Markov representations of stochastic systems (RMS 30:1 (1975) 65–104) (1982) (1)
- Relations between Poisson and Bessel capacities (2004) (1)
- The initial and final behaviour of trajectories of Markov processes (RMS 26:4 (1971) 165–185) (1982) (1)
- Mathematical conversations : multicolor problems, problems in the theory of numbers, and random walks (2006) (1)
- Transformations of Markov processes (1965) (1)
- Twenty Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974 (1977) (1)
- Markov processes and related problems of analysis (RMS 15:2 (1960) 1–21) (1982) (1)
- Solutions _{Γ} are -moderate (2004) (0)
- Linear elliptic equations and diffusions (2002) (0)
- Mathematical Problems: An Anthology (1967) (0)
- A new inequality for superdiffusions and its applications to nonlinear differential equations (2004) (0)
- Transition functions, corresponding to almost multiplicative functionals (1965) (0)
- BRANCHING EXIT MARKOV SYSTEMS AND SUPERPROCESSES 1 (2002) (0)
- Rough Boundary Trace for Solutions of $Lu=\psi{u}$ (2001) (0)
- A stochastic model of economic equilibrium (1978) (0)
- Nonnegative, additive functionals of a Wiener process (1965) (0)
- First entrance and exit times and the intrinsic topology in the state space (1965) (0)
- Martin capacity and classes ₁ and ₀ (2002) (0)
- Eugene Dynkin and Sergei Kuznetsov Interview July 28, 1999 (1999) (0)
- A class of boundary traces for solutions of the equation Lu=ψ(u) (2007) (0)
- Null sets and polar sets (2002) (0)
- An Application of Probability to Nonlinear Analysis (2007) (0)
- Measure-valued processes and related topics (2012) (0)
- Contraction semigroups of linear operators on Banach spaces (1965) (0)
- Branching Exit Markov System and their Applications to Partial Differential Equations (2002) (0)
- All solutions are -moderate (2004) (0)
- Math-Net . Ru All Russian mathematical portal (2018) (0)
- Eugene Dynkin on his childhood (2011) (0)
- Facts on elliptic differential equations (2002) (0)
- Historical notes and comments (1994) (0)
- Structure of branching measure-valued processes (1994) (0)
- Theory Of Markov Processes E B Dynkin (2022) (0)
- Eugene Dynkin speaking on Anatoliy Skorokhod, Rafail Khasminskii, and Alexander Wentzell (2004) (0)
- Conference on Stochastic Processes and Their Applications (12th) held at Ithaca, New York on 11-15 Jul 83, (1983) (0)
- An elementary property of the Brownian motion (2004) (0)
- Super-Brownian motion and partial differential equations (1994) (0)
- Markov Processes and Related Problems of Analysis: Regular Markov processes (RMS 28:2 (1973) 33–64) (1982) (0)
- Change of parameters in superprocesses (1994) (0)
- Classes of similar Markov processes and corresponding exit and entrance spaces(Dedicated to Professor Kosaku Yosida on his 60th birthday) (1970) (0)
- Igor’ Vladimirovich Girsanov (1967) (0)
- Survey of related results (2002) (0)
- Markov Processes and Their Applications to Partial Differential Equations: Kuznetsov’s Contributions (2013) (0)
- Stochastic boundary values of solutions (2002) (0)
- Lévy measure of superprocesses; absorption processes (1996) (0)
- Moderate solutions of (2002) (0)
- General Feynman-Kac formula (1994) (0)
- Moscow seminars reminiscences at Dynkin's 80th birthday workshop banquet (2004) (0)
- Semilinear parabolic equations and superdiffusions (2002) (0)
- How to speak mathematics reminiscences at Dynkin's 80th birthday workshop banquet (2004) (0)
- Stochastic integral equations and diffusion processes (1965) (0)
- Eugene Dynkin oral history with Evan Earle and Gwen Glazer (2011) (0)
- Linear parabolic equations and diffusions (2002) (0)
- Eugene Dynkin lecture May 2004 (2004) (0)
- Addendum: Sufficient Statisticss for the Optimal Stopping Problem (1968) (0)
- Moments and absolute continuity properties of superdiffusions (2004) (0)
- Positive harmonic functions (2002) (0)
- Polylinear Additive Functionals of Superprocesses (1997) (0)
- Construction of superprocesses (1994) (0)
- Basic facts of Markov processes and Martingales (2002) (0)
- Eugene Dynkin speaking on the beginning of his research (2011) (0)
- Martin boundary and positive solutions of some boundary value problems (1965) (0)
- Steele Prize for Mathematical Exposition (0)
- Branching exit Markov systems (2002) (0)
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