Edit Profile (opens in new tab) Dynkin, Evgeniĭ Borisovich Compute Distance To: Compute Author ID: dynkin.evgeny-b Published as: Dynkin, E. B.; Dynkin, Eugene B.; Dynkin, È. B.; Dynkin, E.; Dynkin, Evgeny B.; Dynkin, Eugen; Dyn’kin, E. more...less Further Spellings: Дынкин Евгений Борисович External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 227 Publications since 1945, including 29 Books 2 Contributions as Editor Biographic References: 7 Publications Co-Authors: 34 Co-Authors with 56 Joint Publications 1,298 Co-Co-Authors all top 5 Co-Authors 170 single-authored 18 Kuznetsov, Sergei E. 9 Uspenskiĭ, Vladimir Andreevich 7 Yushkevich, Aleksandr Adol’fovich 4 Onishchik, Arkadiĭ L’vovich 3 Dmitriev, Nicolai A. 3 Molchanov, Stanislav Alekseevich 3 Rozental, A. L. 2 Boltyanskij, Vladimir Grigor’evich 2 Tolpygo, Alexeĭ K. 2 Yushkevich, Adol’f Pavlovich 1 Belitskii, Genrich R. 1 Bityutskov, V. I. 1 Bruhat, François 1 Cartier, Pierre 1 Evstigneev, Igor V. 1 Fitzsimmons, Patrick J. 1 Freidlin, Mark I. 1 Gel’fand, Israil’ Moiseevich 1 Getoor, Ronald Kay 1 Gindikin, Simon Grigorevich 1 Kifer, Yuri 1 Kolgomorov, A. N. 1 Köváry, T. 1 Kurosh, Aleksandr Gennad’evich 1 Lazard, Michel 1 Malyshev, Vadim Aleksandrovich 1 Malyutov, Mikhail B. 1 Mandelbaum, Avi 1 Minchenko, A. N. 1 Minlos, Robert Adol’fovich 1 1 Piatetski-Shapiro, Ilya 1 Pirogov, Sergeĭ A. 1 Polyak, Boris Teodorovich 1 Postnikov, Mikhail Mikhaĭlovich 1 Rybko, Aleksandr N. 1 Seitz, Gary M. 1 Serre, Jean-Pierre 1 Shilov, Georgiĭ Evgen’evich 1 Shlosman, Senya B. 1 Skorokhod, Anatoliĭ Volodymyrovych 1 Suhov, Yurii Mikhailovich 1 Tkachenko, Vadim Aleksandrovich 1 Vanderbei, Robert Joseph 1 Varadhan, S. R. Srinivasa 1 Vinberg, Èrnest Borisovich 1 Wentzell, Alexander Dmitrievich all top 5 Serials 18 Journal of Functional Analysis 16 Uspekhi Matematicheskikh Nauk [N. S.] 14 Soviet Mathematics. Doklady 13 Teoriya Veroyatnosteĭ i eë Primeneniya 12 Doklady Akademii Nauk SSSR. Novaya Seriya 11 The Annals of Probability 10 Russian Mathematical Surveys 9 Translations. Series 2. American Mathematical Society 8 Transactions of the American Mathematical Society 7 Theory of Probability and its Applications 7 Probability Theory and Related Fields 5 Doklady Akademii Nauk SSSR 5 Matematicheskiĭ Sbornik. Novaya Seriya 5 Kleine Ergänzungsreihe zu den Hochschulbüchern für Mathematik 4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Mathematics of the USSR, Sbornik 2 Communications on Pure and Applied Mathematics 2 Annales de l’Institut Fourier 2 Selected Translations in Mathematical Statistics and Probability 2 Advances in Applied Mathematics 2 Mathematical Research Letters 2 Grundlehren der Mathematischen Wissenschaften 1 Journal d’Analyse Mathématique 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Advances in Mathematics 1 The Annals of Statistics 1 Illinois Journal of Mathematics 1 Journal of the Faculty of Science. Section I A 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Electronic Research Announcements of the American Mathematical Society 1 Transformation Groups 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 1 Colloquium Publications. American Mathematical Society 1 CRM Monograph Series 1 London Mathematical Society Lecture Note Series 1 University Lecture Series all top 5 Fields 119 Probability theory and stochastic processes (60-XX) 30 Partial differential equations (35-XX) 14 Potential theory (31-XX) 9 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 5 Measure and integration (28-XX) 5 Operations research, mathematical programming (90-XX) 4 Quantum theory (81-XX) 3 Number theory (11-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 165 Publications have been cited 3,256 times in 2,430 Documents Cited by ▼ Year ▼ Markov processes. Vols. I, II. Translated with the authorization and assistance of the author by J. Fabius, V. Greenberg, A. Maitra and G. Majone. Zbl 0132.37901Dynkin, E. B. 518 1965 Semisimple subalgebras of semisimple Lie algebras. Zbl 0077.03404Dynkin, E. B. 249 1957 Maximal subgroups of the classical groups. Zbl 0077.03403Dynkin, E. B. 152 1957 Semisimple subalgebras of semisimple Lie algebras. (Die halbeinfachen Teilalgebren halbeinfacher Liescher Algebren.) Zbl 0048.01701Dynkin, E. B. 145 1952 Superprocesses and partial differential equations. Zbl 0806.60066Dynkin, E. B. 94 1993 Branching particle systems and superprocesses. Zbl 0732.60092Dynkin, E. B. 82 1991 Diffusions, superdiffusions and partial differential equations. Zbl 0999.60003Dynkin, E. B. 78 2002 Strong Markov processes. Zbl 0073.34801Dynkin, E. B.; Yushkevich, A. A. 78 1956 Sufficient statistics and extreme points. Zbl 0403.62009Dynkin, E. B. 77 1978 Markov processes. (Марковские процессы.) Zbl 0132.37701Dynkin, E. B. 76 1963 A probabilistic approach to one class of nonlinear differential equations. Zbl 0722.60062Dynkin, E. B. 75 1991 Game variant of a problem on optimal stopping. Zbl 0186.25304Dynkin, E. B. 66 1969 The optimum choice of the instant for stopping a Markov process. Zbl 0242.60018Dynkin, E. B. 65 1963 An introduction to branching measure-valued processes. Zbl 0824.60001Dynkin, Eugene B. 59 1994 Symmetric statistics, Poisson point processes, and multiple Wiener integrals. Zbl 0518.60050Dynkin, E. B.; Mandelbaum, A. 49 1983 Berechnung der Koeffizienten in der Campbell-Hausdorffschen Formel. Zbl 0029.24507Dynkin, E. B. 49 1947 Theory of Markov processes. Zbl 0091.13605Dynkin, E. B. 43 1961 Gaussian and non-Gaussian random fields associated with Markov processes. Zbl 0533.60061Dynkin, E. B. 42 1984 Boundary theory of Markov processes. (The discrete case.). Zbl 0222.60048Dynkin, E. B. 39 1969 Superdiffusions and removable singularities for quasilinear partial differential equations. Zbl 0861.60083Dynkin, E. B.; Kuznetsov, S. E. 38 1996 Random walk on groups with a finite number of generators. Zbl 0214.44101Dynkin, E. B.; Malyutov, M. B. 38 1961 On characteristic roots of stochastic matrices. Zbl 0060.03305Dmitriev, N.; Dynkin, E. 35 1946 Controllable Markov processes and their applications. (Управляемые марковские процессы и их приложения.) Zbl 0466.90046Dynkin, E. B.; Yushkevich, A. A. 34 1975 Superdiffusion and parabolic nonlinear differential equations. Zbl 0756.60074Dynkin, E. B. 34 1992 Markov processes and random fields. Zbl 0519.60046Dynkin, E. B. 32 1980 Regular conditional expectations of correspondences. Zbl 0367.60002Dynkin, E. B.; Evstigneev, I. V. 29 1976 Markov processes as a tool in field theory. Zbl 0522.60078Dynkin, E. B. 26 1983 Self-intersection gauge for random walks and for Brownian motion. Zbl 0638.60081Dynkin, E. B. 26 1988 On the characteristic numbers of a stochastic matrix. Zbl 0060.03304Dmitriev, N.; Dynkin, E. 26 1945 Path processes and historical superprocesses. Zbl 0727.60095Dynkin, E. B. 26 1991 \(\mathbb{N}\)-measures for branching exit Markov systems and their applications to differential equations. Zbl 1068.31002Dynkin, E. B.; Kuznetsov, S. E. 25 2004 Polynomials of the occupation field and related random fields. Zbl 0552.60075Dynkin, E. B. 24 1984 Fine topology and fine trace on the boundary associated with a class of semilinear differential equations. Zbl 0934.35049Dynkin, E. B.; Kuznetsov, S. E. 24 1998 Some limit theorems for sums of independent random variables with infinite mathematical expectations. Zbl 0112.10105Dynkin, E. B. 24 1961 Superdiffusions and positive solutions of nonlinear partial differential equations. Zbl 1079.60006Dynkin, E. B. 23 2004 Superprocesses and their linear additive functionals. Zbl 0674.60070Dynkin, E. B. 20 1989 Three classes of infinite-dimensional diffusions. Zbl 0683.60040Dynkin, E. B. 20 1989 Die Grundlagen der Theorie der Markoffschen Prozesse. Ins Deutsche übertragen von Josef Wloka. Zbl 0091.13604Dynkin, E. B. 20 1961 Minimal excessive measures and functions. Zbl 0422.60057Dynkin, E. B. 19 1980 Regularized self-intersection local times of planar Brownian motion. Zbl 0641.60085Dynkin, E. B. 19 1988 Some transformations of Markov processes. Zbl 0096.11704Dynkin, E. B. 19 1960 The initial and final behaviour of trajectories of Markov processes. Zbl 0281.60087Dynkin, E. B. 18 1972 An integral representation of excessive measures and excessive functions. Zbl 0321.60002Dynkin, E. B. 18 1972 Additive functionals of several time-reversible Markov processes. Zbl 0467.60069Dynkin, E. B. 17 1981 Green’s and Dirichlet spaces associated with fine Markov processes. Zbl 0488.60083Dynkin, E. B. 17 1982 Trace on the boundary for solutions of nonlinear differential equations. Zbl 0911.60061Dynkin, E. B.; Kuznetsov, S. E. 17 1998 Theory of Markov processes. Translated from the Russian by D. E. Brown and edited by T. Köváry. Reprint of the 1961 English edition. Zbl 1116.60001Dynkin, E. B. 17 2006 The space of exits of a Markov process. Zbl 0201.19801Dynkin, E. B. 16 1969 Representation for functionals of superprocesses by multiple stochastic integrals, with applications to self-intersection local times. Zbl 0659.60105Dynkin, Eugene B. 16 1988 Local times and quantum fields. Zbl 0554.60058Dynkin, E. B. 14 1984 Solutions of \(Lu = u^ \alpha\) dominated by \(L\)-harmonic functions. Zbl 0862.58047Dynkin, E. B.; Kuznetsov, S. E. 14 1996 Maximal subgroups of the classical groups. (Die maximalen Untergruppen der klassischen Gruppen.) Zbl 0048.01601Dynkin, E. B. 14 1952 Mathematische Aufgaben. (Математические задачи.) Zbl 0151.00103Dynkin, E. B.; Molchanov, S. A.; Rozental’, A. L.; Tolpygo, A. K. 14 1965 Harmonic functions associated with several Markov processes. Zbl 0479.60057Dynkin, E. B. 12 1981 Compact global Lie groups. Zbl 0065.26201Dynkin, E. B.; Onishchik, A. L. 12 1955 Regular Markov processes. Zbl 0385.60059Dynkin, E. B. 11 1973 Some probability models for a developing economy. Zbl 0254.90010Dynkin, E. B. 11 1971 Stochastic concave dynamic programming. Zbl 0257.90035Dynkin, E. B. 11 1973 Branching measure-valued processes. Zbl 0813.60076Dynkin, E. B.; Kuznetsov, S. E.; Skorokhod, A. V. 10 1994 Stochastic boundary values and boundary singularities for solutions of the equation \(Lu=u^\alpha\). Zbl 0903.60068Dynkin, E. B. 10 1998 A new inequality for superdiffusions and its applications to nonlinear differential equations. Zbl 1080.60066Dynkin, E. B. 10 2004 Non-negative eigenfunctions of the Laplace-Beltrami operator and Brownian motion in certain symmetric spaces. Zbl 0116.36106Dynkin, E. B. 10 1961 Nonlinear parabolic P.D.E. and additive functionals of superdiffusions. Zbl 0880.60080Dynkin, E. B.; Kuznetsov, S. E. 9 1997 Selected papers of E. B. Dynkin. With commentary. Edited by A. A. Yushkevich, G. M. Seitz and A. L. Onishchik. Zbl 1056.01014Dynkin, E. B. 9 2000 Normed Lie algebras and analytic groups. Zbl 0052.26202Dynkin, E. B. 9 1950 Théorie des processus Markoviens. Zbl 0146.38302Dynkin, E. B. 9 1963 Markov processes and related problems of analysis. Zbl 0498.60067Dynkin, E. B. 8 1982 One-dimensional continuous strong Markov processes. Zbl 0201.50301Dynkin, E. B. 8 1959 Markov systems and their additive functionals. Zbl 0379.60076Dynkin, E. B. 8 1977 Random fields associated with multiple points of the Brownian motion. Zbl 0579.60081Dynkin, E. B. 8 1985 On regularity of superprocesses. Zbl 0791.60075Dynkin, E. B. 8 1993 Regular transition functions and regular superprocesses. Zbl 0695.60072Dynkin, E. B. 8 1989 Additive functionals and entrance laws. Zbl 0574.60082Dynkin, E. B.; Getoor, R. K. 7 1985 Linear additive functionals of superdiffusions and related nonlinear P.D.E. Zbl 0863.60075Dynkin, E. B.; Kuznetsov, S. E. 7 1996 Branching exit Markov systems and superprocesses. Zbl 1014.60079Dynkin, E. B. 7 2001 Über die Darstellung der Reihe \(\log(e^xe^y)\) von nicht vertauschbaren \(x\) und \(y\) durch Kommutatoren. Zbl 0041.16102Dynkin, E. B. 7 1949 Controlled random sequences. Zbl 0137.35801Dynkin, E. B. 7 1965 Sätze und Aufgaben über Markoffsche Prozesse. Aus dem Russischen übersetzt von K. Schürger. Zbl 0185.45601Dynkin, E. B.; Juschkewitsch, A. A. 7 1969 Sätze und Aufgaben über Markoffsche Prozesse. Aus dem Russischen übersetzt von K. Schürger. Zbl 0196.19603Dynkin, E. B.; Juschkewitsch, A. A. 6 1969 Markov snakes and superprocesses. Zbl 0862.60072Dynkin, E. B.; Kuznetsov, S. E. 6 1995 Entrance and exit spaces for a Markov process. Zbl 0265.60068Dynkin, E. B. 6 1971 Additive functionals of Markov processes and stochastic systems. Zbl 0304.60044Dynkin, Eugen 6 1975 Markov representations of stochastic systems. Zbl 0316.60019Dynkin, E. B. 6 1975 Determining functions of Markov processes and corresponding dual regular classes. Zbl 0334.60032Dynkin, E. B.; Kuznetsov, S. E. 6 1974 Infinitesimal operators of Markov processes. Zbl 0073.34901Dynkin, E. B. 6 1956 Necessary and sufficient statistics for a family of probability distributions. Zbl 0112.11106Dynkin, E. B. 6 1961 Solutions of nonlinear differential equations on a Riemannian manifold and their trace on the Martin boundary. Zbl 0911.60062Dynkin, E. B.; Kuznetsov, S. E. 5 1998 Solutions of semilinear differential equations related to harmonic functions. Zbl 0942.35076Dynkin, E. B. 5 2000 An application of flows to time shift and time reversal in stochastic processes. Zbl 0562.60076Dynkin, E. B. 5 1985 Enhanced Dynkin diagrams and Weyl orbits. Zbl 1281.17012Dynkin, E. B.; Minchenko, A. N. 5 2010 Some properties of the system of weights of a linear representation of a semisimple Lie group. (Einige Eigenschaften des Systems der Gewichte einer linearen Darstellung einer halbeinfachen Lieschen Gruppe.) Zbl 0041.36204Dynkin, E. B. 5 1950 Criteria of continuity and of absence of discontinuities of the second kind for trajectories of a Markov random process. (Kriterien für die Stetigkeit und für das Nichtvorhandensein von Unstetigkeiten zweiter Art für die Trajektorien eines Markoffschen zufälligen Prozesses.) Zbl 0049.36805Dynkin, E. B. 5 1952 Markov processes and problems in analysis. Zbl 0158.16806Dynkin, E. B. 5 1963 Diffusion of tensors. Zbl 0188.27002Dynkin, E. B. 5 1968 Stochastic waves. Zbl 0513.60072Dynkin, E. B.; Vanderbei, R. J. 4 1983 Wanderings of a Markov process. Zbl 0272.60045Dynkin, E. B. 4 1971 Topological characteristics of homomorphisms of compact Lie groups. Zbl 0087.02501Dynkin, E. B. 4 1959 Markov processes and related problems of analysis. Zbl 0108.15004Dynkin, E. B. 4 1960 Transformations of Markov processes connected with additive functionals. Zbl 0111.15101Dynkin, E. B. 4 1961 Natural topology and excessive functions connected with Markoff’s process. Zbl 0168.38701Dynkin, E. B. 4 1959 Markov processes and their applications to partial differential equations: Kuznetsov’s contributions. Zbl 1281.60067Dynkin, E. B. 1 2013 Enhanced Dynkin diagrams and Weyl orbits. Zbl 1281.17012Dynkin, E. B.; Minchenko, A. N. 5 2010 Bessel capacities on compact manifolds and their relation to Poisson capacities. Zbl 1118.31003Dynkin, E. B.; Kuznetsov, S. E. 1 2007 Theory of Markov processes. Translated from the Russian by D. E. Brown and edited by T. Köváry. Reprint of the 1961 English edition. Zbl 1116.60001Dynkin, E. B. 17 2006 On extreme \(X\)-harmonic functions. Zbl 1095.31002Dynkin, E. B. 3 2006 A note on X-harmonic functions. Zbl 1109.60064Dynkin, E. B. 1 2006 \(\mathbb{N}\)-measures for branching exit Markov systems and their applications to differential equations. Zbl 1068.31002Dynkin, E. B.; Kuznetsov, S. E. 25 2004 Superdiffusions and positive solutions of nonlinear partial differential equations. Zbl 1079.60006Dynkin, E. B. 23 2004 A new inequality for superdiffusions and its applications to nonlinear differential equations. Zbl 1080.60066Dynkin, E. B. 10 2004 Harmonic functions and exit boundary of superdiffusion. Zbl 1040.60066Dynkin, E. B. 3 2004 Absolute continuity results for superdiffusions with applications to differential equations. Zbl 1101.35031Dynkin, Eugene B. 3 2004 On upper bounds for positive solutions of semilinear equations. Zbl 1059.31009Dynkin, E. B. 1 2004 Poisson capacities. Zbl 1027.31008Dynkin, E. B.; Kuznetsov, S. E. 3 2003 Superdiffusions and positive solutions of nonlinear partial differential equations. Zbl 1113.35066Dynkin, E. B. 1 2003 Diffusions, superdiffusions and partial differential equations. Zbl 0999.60003Dynkin, E. B. 78 2002 Branching exit Markov systems and superprocesses. Zbl 1014.60079Dynkin, E. B. 7 2001 Selected papers of E. B. Dynkin. With commentary. Edited by A. A. Yushkevich, G. M. Seitz and A. L. Onishchik. Zbl 1056.01014Dynkin, E. B. 9 2000 Solutions of semilinear differential equations related to harmonic functions. Zbl 0942.35076Dynkin, E. B. 5 2000 Extinction of superdiffusions and semilinear partial differential equations. Zbl 0938.35059Dynkin, E. B.; Kuznetsov, E. 1 1999 Fine topology and fine trace on the boundary associated with a class of semilinear differential equations. Zbl 0934.35049Dynkin, E. B.; Kuznetsov, S. E. 24 1998 Trace on the boundary for solutions of nonlinear differential equations. Zbl 0911.60061Dynkin, E. B.; Kuznetsov, S. E. 17 1998 Stochastic boundary values and boundary singularities for solutions of the equation \(Lu=u^\alpha\). Zbl 0903.60068Dynkin, E. B. 10 1998 Solutions of nonlinear differential equations on a Riemannian manifold and their trace on the Martin boundary. Zbl 0911.60062Dynkin, E. B.; Kuznetsov, S. E. 5 1998 Semilinear parabolic equations, diffusions, and superdiffusions. Zbl 0916.35053Dynkin, E. B. 1 1998 Nonlinear parabolic P.D.E. and additive functionals of superdiffusions. Zbl 0880.60080Dynkin, E. B.; Kuznetsov, S. E. 9 1997 Natural linear additive functionals of superprocesses. Zbl 0880.60079Dynkin, E. B.; Kuznetsov, S. E. 3 1997 A new relation between diffusions and superdiffusions with applications to the equation \(Lu=u^\alpha\). Zbl 0895.60084Dynkin, Eugene B. 2 1997 A probabilistic approach to a nonlinear differential equation on a Riemannian manifold. Zbl 0910.58040Dynkin, E. B. 1 1997 Superdiffusions and removable singularities for quasilinear partial differential equations. Zbl 0861.60083Dynkin, E. B.; Kuznetsov, S. E. 38 1996 Solutions of \(Lu = u^ \alpha\) dominated by \(L\)-harmonic functions. Zbl 0862.58047Dynkin, E. B.; Kuznetsov, S. E. 14 1996 Linear additive functionals of superdiffusions and related nonlinear P.D.E. Zbl 0863.60075Dynkin, E. B.; Kuznetsov, S. E. 7 1996 Lévy measure of superprocesses; absorption processes. Zbl 0859.60074Dynkin, E. B. 1 1996 Markov snakes and superprocesses. Zbl 0862.60072Dynkin, E. B.; Kuznetsov, S. E. 6 1995 Branching with a single point catalyst. Zbl 0827.60069Dynkin, E. B. 2 1995 An introduction to branching measure-valued processes. Zbl 0824.60001Dynkin, Eugene B. 59 1994 Branching measure-valued processes. Zbl 0813.60076Dynkin, E. B.; Kuznetsov, S. E.; Skorokhod, A. V. 10 1994 A type of interaction between superprocesses and branching particle systems. Zbl 0807.60077Dynkin, Eugene B. 1 1994 Superprocesses and partial differential equations. Zbl 0806.60066Dynkin, E. B. 94 1993 On regularity of superprocesses. Zbl 0791.60075Dynkin, E. B. 8 1993 Birth delay of a Markov process and the stopping distributions for regular processes. Zbl 0767.60064Dynkin, E. B. 3 1993 Superdiffusion and parabolic nonlinear differential equations. Zbl 0756.60074Dynkin, E. B. 34 1992 Branching particle systems and superprocesses. Zbl 0732.60092Dynkin, E. B. 82 1991 A probabilistic approach to one class of nonlinear differential equations. Zbl 0722.60062Dynkin, E. B. 75 1991 Path processes and historical superprocesses. Zbl 0727.60095Dynkin, E. B. 26 1991 Additive functionals of superdiffusion processes. Zbl 0737.60066Dynkin, E. B. 3 1991 Superprocesses and their linear additive functionals. Zbl 0674.60070Dynkin, E. B. 20 1989 Three classes of infinite-dimensional diffusions. Zbl 0683.60040Dynkin, E. B. 20 1989 Regular transition functions and regular superprocesses. Zbl 0695.60072Dynkin, E. B. 8 1989 Kolmogorov and the theory of Markov processes. Zbl 0689.60003Dynkin, E. B. 1 1989 Self-intersection gauge for random walks and for Brownian motion. Zbl 0638.60081Dynkin, E. B. 26 1988 Regularized self-intersection local times of planar Brownian motion. Zbl 0641.60085Dynkin, E. B. 19 1988 Representation for functionals of superprocesses by multiple stochastic integrals, with applications to self-intersection local times. Zbl 0659.60105Dynkin, Eugene B. 16 1988 Characteristic roots of stochastic matrices. Zbl 0658.15023Dmitriev, N. A.; Dynkin, E. B. 1 1988 Self-intersection local times, occupation fields, and stochastic integrals. Zbl 0625.60089Dynkin, E. B. 3 1987 Stochastic processes on random domains. Zbl 0621.60040Dynkin, E. B.; Fitzsimmons, P. J. 1 1987 Functionals associated with self-intersections of the planar Brownian motion. Zbl 0617.60080Dynkin, E. B. 3 1986 Multiple path integrals. Zbl 0604.60075Dynkin, E. B. 2 1986 Generalized random fields related to self-intersections of the Brownian motion. Zbl 0601.60078Dynkin, E. B. 1 1986 Random fields associated with multiple points of the Brownian motion. Zbl 0579.60081Dynkin, E. B. 8 1985 Additive functionals and entrance laws. Zbl 0574.60082Dynkin, E. B.; Getoor, R. K. 7 1985 An application of flows to time shift and time reversal in stochastic processes. Zbl 0562.60076Dynkin, E. B. 5 1985 Gaussian and non-Gaussian random fields associated with Markov processes. Zbl 0533.60061Dynkin, E. B. 42 1984 Polynomials of the occupation field and related random fields. Zbl 0552.60075Dynkin, E. B. 24 1984 Local times and quantum fields. Zbl 0554.60058Dynkin, E. B. 14 1984 Symmetric statistics, Poisson point processes, and multiple Wiener integrals. Zbl 0518.60050Dynkin, E. B.; Mandelbaum, A. 49 1983 Markov processes as a tool in field theory. Zbl 0522.60078Dynkin, E. B. 26 1983 Stochastic waves. Zbl 0513.60072Dynkin, E. B.; Vanderbei, R. J. 4 1983 Gaussian random fields and Gaussian evolutions. Zbl 0533.60060Dynkin, E. B. 2 1983 Green’s and Dirichlet spaces associated with fine Markov processes. Zbl 0488.60083Dynkin, E. B. 17 1982 Markov processes and related problems of analysis. Zbl 0498.60067Dynkin, E. B. 8 1982 Additive functionals of several time-reversible Markov processes. Zbl 0467.60069Dynkin, E. B. 17 1981 Harmonic functions associated with several Markov processes. Zbl 0479.60057Dynkin, E. B. 12 1981 Markov processes and random fields. Zbl 0519.60046Dynkin, E. B. 32 1980 Minimal excessive measures and functions. Zbl 0422.60057Dynkin, E. B. 19 1980 Sufficient statistics and extreme points. Zbl 0403.62009Dynkin, E. B. 77 1978 Duality for Markov processes. Zbl 0494.60074Dynkin, Eugene B. 2 1978 Markov systems and their additive functionals. Zbl 0379.60076Dynkin, E. B. 8 1977 Regular conditional expectations of correspondences. Zbl 0367.60002Dynkin, E. B.; Evstigneev, I. V. 29 1976 Economic equilibrium under uncertainty. Zbl 0362.90026Dynkin, E. B. 3 1976 On a new approach to Markov processes. Zbl 0351.60065Dynkin, E. B. 2 1976 Controllable Markov processes and their applications. (Управляемые марковские процессы и их приложения.) Zbl 0466.90046Dynkin, E. B.; Yushkevich, A. A. 34 1975 Additive functionals of Markov processes and stochastic systems. Zbl 0304.60044Dynkin, Eugen 6 1975 Markov representations of stochastic systems. Zbl 0316.60019Dynkin, E. B. 6 1975 Determining functions of Markov processes and corresponding dual regular classes. Zbl 0334.60032Dynkin, E. B.; Kuznetsov, S. E. 6 1974 Optimal programs and stimulating prices in the stochastic models of economic growth. Zbl 0293.90012Dynkin, E. B. 2 1974 Additive functionals of Markov processes and their spectral measures. Zbl 0306.60047Dynkin, E. B. 2 1974 Markov representations of stochastic systems. Zbl 0323.60070Dynkin, E. B. 2 1974 Regular Markov processes. Zbl 0385.60059Dynkin, E. B. 11 1973 Stochastic concave dynamic programming. Zbl 0257.90035Dynkin, E. B. 11 1973 Probabilistic concave dynamic programming. Zbl 0362.90078Dynkin, E. B. 2 1973 The initial and final behaviour of trajectories of Markov processes. Zbl 0281.60087Dynkin, E. B. 18 1972 An integral representation of excessive measures and excessive functions. Zbl 0321.60002Dynkin, E. B. 18 1972 Some probability models for a developing economy. Zbl 0254.90010Dynkin, E. B. 11 1971 Entrance and exit spaces for a Markov process. Zbl 0265.60068Dynkin, E. B. 6 1971 Wanderings of a Markov process. Zbl 0272.60045Dynkin, E. B. 4 1971 Excessive measures and entry laws for a Markov process. Zbl 0328.60041Dynkin, E. B. 1 1971 Excessive functions and the exitspace of a Markov process. Zbl 0234.60090Dynkin, E. B. 1 1970 Game variant of a problem on optimal stopping. Zbl 0186.25304Dynkin, E. B. 66 1969 Boundary theory of Markov processes. (The discrete case.). Zbl 0222.60048Dynkin, E. B. 39 1969 The space of exits of a Markov process. Zbl 0201.19801Dynkin, E. B. 16 1969 ...and 65 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,637 Authors 44 Dynkin, Evgeniĭ Borisovich 34 Ren, Yanxia 21 Kyprianou, Andreas E. 21 Véron, Laurent 19 Le Gall, Jean-François 19 Marcus, Moshe M. 18 Albeverio, Sergio A. 18 Song, Renming 17 Patera, Jiří 16 Kuznetsov, Sergei E. 13 Evstigneev, Igor V. 13 Fleischmann, Klaus 13 Röckner, Michael 13 Rosen, Jay S. 11 Dawson, Donald Andrew 11 Gapeev, Pavel V. 10 Chen, Zhen-Qing 10 Feinberg, Eugene Aleksandrovich 10 Fitzsimmons, Patrick J. 10 Woess, Wolfgang 9 Beznea, Lucian 9 Elduque, Alberto 9 Engländer, János 9 Getoor, Ronald Kay 9 Kharlamov, Boris Pavlovich 9 Li, Zenghu 9 Nagasawa, Masao 9 Stettner, Łukasz 8 Delmas, Jean-François 8 Đoković, Dragomir Ž. 8 Douglas, Andrew S. 8 Hernández-Lerma, Onésimo 8 Kallenberg, Olav 8 Peccati, Giovanni 7 Kushner, Harold J. 7 Repka, Joe 7 Sabelfeld, Karl Karlovich 7 Solan, Eilon 7 Van der Jeugt, Joris 7 Vavilov, Nikolaĭ Aleksandrovich 7 Yang, Zuodong 7 Zhang, Rui 6 Adler, Robert Joseph 6 Benvenuti, Luca 6 Föllmer, Hans 6 Garibaldi, Skip 6 Hanany, Amihay 6 Harris, Simon C. 6 Horton, Emma L. 6 Lupu, Titus 6 Ol’shanskiĭ, Grigoriĭ Iosifovich 6 Panyushev, Dmitri Ivanovich 6 Patie, Pierre 6 Popier, Alexandre 6 Schenk-Hoppé, Klaus Reiner 6 Sharp, Robert T. 6 Sun, Yeneng 6 Taksar, Michael I. 6 Veretennikov, Alexander Yu. 6 Wang, McKenzie Y. K. 6 Watanabe, Shinzo 6 Winternitz, Pavel 6 Xiang, Kai-Nan 6 Yavin, Yaakov 6 Yor, Marc 6 Zúñiga-Galindo, Wilson A. 5 Abraham, Romain 5 De Angelis, Tiziano 5 Dhersin, Jean-Stéphane 5 Dorogovtsev, Andriĭ Anatoliĭovych 5 Egami, Masahiko 5 Eisenbaum, Nathalie 5 Fukushima, Masatoshi 5 Guo, Xianping 5 Guralnick, Robert Michael 5 Hirsch, Francis 5 Kalveks, Rudolph 5 Kaspi, Haya 5 Kesten, Harry 5 Kondrat’yev, Yuriĭ Grygorovych 5 Kopytko, Bogdan I. 5 Le Jan, Yves 5 Marcus, Steven I. 5 Mazzucchi, Sonia 5 Montes-de-Oca, Raúl 5 Øksendal, Bernt Karsten 5 Overbeck, Ludger 5 Perkins, Edwin A. 5 Rutkowski, Marek 5 Sakbaev, Vsevolod Zhanovich 5 Sawyer, Stanley A. 5 Schocker, Manfred 5 Sheu, Yuan-Chung 5 Testerman, Donna M. 5 Wang, Yongjin 4 Albers, Susanne 4 Aldous, David John 4 Baranov, V. V. 4 Bass, Richard F. 4 Benito, Pilar ...and 2,537 more Authors all top 5 Cited in 413 Serials 138 Stochastic Processes and their Applications 91 Probability Theory and Related Fields 86 The Annals of Probability 76 Journal of Mathematical Physics 76 Transactions of the American Mathematical Society 70 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 66 Journal of Functional Analysis 56 Journal of Algebra 53 Journal of Mathematical Analysis and Applications 41 Linear Algebra and its Applications 38 Journal of Theoretical Probability 35 Communications in Mathematical Physics 29 The Annals of Applied Probability 28 Statistics & Probability Letters 25 Mathematische Annalen 25 Journal of Mathematical Sciences (New York) 24 Inventiones Mathematicae 24 Proceedings of the American Mathematical Society 22 Annales de l’Institut Fourier 22 Mathematische Zeitschrift 20 Advances in Mathematics 20 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 20 Potential Analysis 19 Journal of Applied Probability 19 Journal of Differential Equations 19 Acta Applicandae Mathematicae 19 Stochastics 16 Journal of Statistical Physics 16 Stochastic Analysis and Applications 15 Journal of Mathematical Economics 15 Electronic Journal of Probability 14 Israel Journal of Mathematics 14 Journal of High Energy Physics 14 Bulletin of the American Mathematical Society 13 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 12 Advances in Applied Probability 12 SIAM Journal on Control and Optimization 11 Journal d’Analyse Mathématique 11 Duke Mathematical Journal 11 Publications of the Research Institute for Mathematical Sciences, Kyoto University 11 Systems & Control Letters 11 Representation Theory 10 Journal of Geometry and Physics 10 Applied Mathematics and Optimization 10 Functional Analysis and its Applications 10 Journal of Pure and Applied Algebra 10 Journal of Soviet Mathematics 10 Advances in Applied Mathematics 10 Automation and Remote Control 10 Finance and Stochastics 10 Science China. Mathematics 9 Journal of Economic Theory 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Proceedings of the Japan Academy. Series A 9 Differential Geometry and its Applications 9 Acta Mathematica Sinica. English Series 9 Proceedings of the Japan Academy 8 Lithuanian Mathematical Journal 8 Mathematical Notes 8 Physica A 8 Compositio Mathematica 8 Journal of Multivariate Analysis 8 Science in China. Series A 8 Annals of Operations Research 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Indagationes Mathematicae. New Series 8 St. Petersburg Mathematical Journal 8 Bernoulli 8 Transformation Groups 7 Acta Mathematica Academiae Scientiarum Hungaricae 7 Journal of the Franklin Institute 7 Nuclear Physics. B 7 Stochastics 7 Ukrainian Mathematical Journal 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Automatica 7 Kybernetika 7 Tôhoku Mathematical Journal. Second Series 7 Operations Research Letters 7 European Journal of Operational Research 7 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 ALEA. Latin American Journal of Probability and Mathematical Statistics 6 Communications in Algebra 6 Mathematical Biosciences 6 Reports on Mathematical Physics 6 Theory of Probability and its Applications 6 Journal of Computational and Applied Mathematics 6 Journal of Optimization Theory and Applications 6 Annals of Global Analysis and Geometry 6 Mathematical and Computer Modelling 6 Games and Economic Behavior 6 Bulletin of the American Mathematical Society. New Series 6 Monte Carlo Methods and Applications 6 Mathematical Methods of Operations Research 5 Computers & Mathematics with Applications 5 Journal of Applied Mathematics and Mechanics 5 Theoretical and Mathematical Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Applied Mathematics and Computation 5 Journal für die Reine und Angewandte Mathematik ...and 313 more Serials all top 5 Cited in 59 Fields 1,284 Probability theory and stochastic processes (60-XX) 253 Partial differential equations (35-XX) 233 Nonassociative rings and algebras (17-XX) 193 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 151 Systems theory; control (93-XX) 142 Topological groups, Lie groups (22-XX) 140 Group theory and generalizations (20-XX) 122 Quantum theory (81-XX) 111 Operations research, mathematical programming (90-XX) 105 Operator theory (47-XX) 103 Differential geometry (53-XX) 101 Statistics (62-XX) 98 Potential theory (31-XX) 84 Statistical mechanics, structure of matter (82-XX) 78 Combinatorics (05-XX) 73 Algebraic geometry (14-XX) 66 Global analysis, analysis on manifolds (58-XX) 65 Measure and integration (28-XX) 62 Linear and multilinear algebra; matrix theory (15-XX) 57 Functional analysis (46-XX) 56 Dynamical systems and ergodic theory (37-XX) 50 Numerical analysis (65-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 46 Ordinary differential equations (34-XX) 42 Manifolds and cell complexes (57-XX) 40 Computer science (68-XX) 38 Biology and other natural sciences (92-XX) 33 Number theory (11-XX) 24 Associative rings and algebras (16-XX) 23 Several complex variables and analytic spaces (32-XX) 19 Abstract harmonic analysis (43-XX) 17 Special functions (33-XX) 17 Relativity and gravitational theory (83-XX) 13 Functions of a complex variable (30-XX) 12 Algebraic topology (55-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 History and biography (01-XX) 10 Integral equations (45-XX) 9 Convex and discrete geometry (52-XX) 8 Mechanics of particles and systems (70-XX) 8 Fluid mechanics (76-XX) 7 Mathematical logic and foundations (03-XX) 7 Real functions (26-XX) 6 Commutative algebra (13-XX) 6 Approximations and expansions (41-XX) 6 Geometry (51-XX) 5 General topology (54-XX) 5 Information and communication theory, circuits (94-XX) 4 Mechanics of deformable solids (74-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 3 Optics, electromagnetic theory (78-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 \(K\)-theory (19-XX) 2 Difference and functional equations (39-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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