Edit Profile (opens in new tab) Nelson, Joseph Edward (b. 1932 d. 2014) Co-Author Distance Author ID: nelson.edward Published as: Nelson, Edward; Nelson, E.; Nelson, Edwin more...less Homepage: https://web.math.princeton.edu/~nelson/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 51 Publications since 1958, including 8 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 27 Co-Authors with 9 Joint Publications 1,073 Co-Co-Authors all top 5 Co-Authors 42 single-authored 2 Föllmer, Hans 2 Gross, Leonard 2 Simon, Barry 1 Albeverio, Sergio A. 1 Andrés, Javier 1 Baez, John C. 1 Batini, Nicoletta 1 Beschler, Edwin F. 1 Brydges, David C. 1 Buss, Samuel R. 1 Carlen, Eric Anders 1 Diaconis, Persi Warren 1 Elworthy, David 1 Faris, William G. 1 Fröhling, Jüerg 1 Gross, Leonhard 1 Guerra, Francesco 1 Hepp, Klaus 1 Hook, Julian L. 1 Jaffe, Arthur Michael 1 Kostant, Bertram 1 Lawler, Gregory Francis 1 López-Salido, J. David 1 Nappi, Chiara R. 1 Neiss, Katharine S. 1 Papanicolaou, George C. 1 Ruelle, David Pierre 1 Stinespring, W. Forrest 1 Straeter, Ray 1 Strocchi, Franco 1 Varadhan, S. R. Srinivasa 1 Varberg, Dale E. 1 Velo, Giorgio 1 Vergne, Michèle 1 Villani, Cédric 1 Wightman, Arthur Strong all top 5 Serials 4 Journal of Functional Analysis 4 Mathematical Notes (Princeton) 3 Duke Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of Economic Dynamics & Control 2 Notices of the American Mathematical Society 2 Annals of Mathematics. Second Series 1 General Relativity and Gravitation 1 International Journal of Control 1 Journal of Mathematical Physics 1 The Mathematical Intelligencer 1 American Journal of Mathematics 1 Annals of Pure and Applied Logic 1 Hadronic Journal Supplement 1 Macroeconomic Dynamics 1 Bulletin of the American Mathematical Society 1 Journal of Mathematics and Mechanics 1 Annals of Mathematics Studies 1 Lecture Notes in Mathematics 1 Annals of Mathematical Statistics 1 Princeton Series in Physics all top 5 Fields 17 Probability theory and stochastic processes (60-XX) 10 Mathematical logic and foundations (03-XX) 8 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 2,651 times in 2,328 Documents Cited by ▼ Year ▼ Analytic vectors. Zbl 0091.10704Nelson, Edward 390 1959 Dynamical theories of Brownian motion. Zbl 0165.58502Nelson, Edward 387 1967 Notes on non-commutative integration. Zbl 0292.46030Nelson, Edward 319 1974 The free Markoff field. Zbl 0273.60079Nelson, Edward 260 1973 Quantum fluctuations. Zbl 0563.60001Nelson, Edward 209 1985 Feynman integrals and the Schrödinger equation. Zbl 0133.22905Nelson, E. 202 1964 Internal set theory: A new approach to nonstandard analysis. Zbl 0373.02040Nelson, Edward 198 1977 Construction of quantum fields from Markoff fields. Zbl 0252.60053Nelson, Edward 101 1973 Topics in dynamics. I: Flows. Zbl 0197.10702Nelson, E. 99 1969 Representation of elliptic operators in an enveloping algebra. Zbl 0092.32103Nelson, Edward; Stinespring, W. Forrest 68 1959 Radically elementary probability theory. Zbl 0651.60001Nelson, Edward 52 1987 The adjoint Markoff process. Zbl 0084.13402Nelson, Edward 44 1958 Predicative arithmetic. Zbl 0617.03002Nelson, Edward 42 1986 Regular probability measures on function space. Zbl 0087.13102Nelson, Edward 29 1959 Time-ordered operator products of sharp-time quadratic forms. Zbl 0239.47012Nelson, Edward 28 1972 Tensor analysis. Preliminary informal notes of university courses and seminars in mathematics. Zbl 0152.39001Nelson, Edward 25 1967 Probability theory and Euclidean field theory. Zbl 0367.60108Nelson, Edward 23 1973 Quantum fields and Markoff fields. Zbl 0279.60096Nelson, Edward 22 1973 The syntax of nonstandard analysis. Zbl 0642.03040Nelson, Edward 21 1988 Dynamical theories of Brownian motion. 2nd edition. Zbl 1375.60013Nelson, Edward 20 2001 Operants: A functional calculus for non-commuting operators. Zbl 0239.47011Nelson, Edward 17 1970 A functional calculus using singular Laplace integrals. Zbl 0081.33501Nelson, Edward 16 1958 An existence theorem for second order parabolic equations. Zbl 0115.31101Nelson, E. 14 1958 Kernel functions and eigenfunction expansions. Zbl 0086.09603Nelson, Edward 11 1958 A proof of Liouville’s theorem. Zbl 0124.31203Nelson, E. 10 1961 The distinguished boundary of the unit operator ball. Zbl 0103.08602Nelson, Edward 8 1961 Optimal horizons for inflation targeting. Zbl 0978.91041Batini, N.; Nelson, E. 7 2001 École d’été de probabilités de Saint-Flour XV-XVII, 1985-87 (2-19 Juil. 1985, 17 Août - 3 Sept. 1986, 1-18 Juil. 1987). Zbl 0649.00016Diaconis, P.; Nelson, E.; Elworthy, D.; Papanicolaou, G.; Föllmer, H.; Varadhan, S. R. S. 6 1988 Robust performance for an energy sensitive wireless body area network - an anti-windup approach. Zbl 1154.90337Walsh, M.; Hayes, M.; Nelson, J. 5 2009 Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003 5 2006 The real-interest-rate gap as an inflation indicator. Zbl 1065.91031Neiss, Katharine S.; Nelson, Edward 5 2003 Representation of a Markovian semigroup and its infinitesimal generator. Zbl 0082.32603Nelson, Edward 5 1958 Les ecoulements incompressibles d’energie finie. Zbl 0237.35015Nelson, Edward 3 1963 Money and the natural rate of interest: structural estimates for the United States and the euro area. Zbl 1170.91459Andrés, Javier; López-Salido, J. David; Nelson, Edward 2 2009 Field theory and the future of stochastic mechanics. Zbl 0605.60090Nelson, Edward 2 1986 A remark on the polymer problem in four dimensions. Zbl 0522.60099Nelson, Edward 2 1983 Taking formalism seriously. Zbl 0797.03060Nelson, Edward 2 1993 Irving Ezra Segal (1918–1998). Zbl 1194.01056Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S. 1 1999 Critical diffusions. Zbl 0566.58037Nelson, Edward 1 1985 Robust performance for an energy sensitive wireless body area network - an anti-windup approach. Zbl 1154.90337Walsh, M.; Hayes, M.; Nelson, J. 5 2009 Money and the natural rate of interest: structural estimates for the United States and the euro area. Zbl 1170.91459Andrés, Javier; López-Salido, J. David; Nelson, Edward 2 2009 Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003 5 2006 The real-interest-rate gap as an inflation indicator. Zbl 1065.91031Neiss, Katharine S.; Nelson, Edward 5 2003 Dynamical theories of Brownian motion. 2nd edition. Zbl 1375.60013Nelson, Edward 20 2001 Optimal horizons for inflation targeting. Zbl 0978.91041Batini, N.; Nelson, E. 7 2001 Irving Ezra Segal (1918–1998). Zbl 1194.01056Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S. 1 1999 Taking formalism seriously. Zbl 0797.03060Nelson, Edward 2 1993 The syntax of nonstandard analysis. Zbl 0642.03040Nelson, Edward 21 1988 École d’été de probabilités de Saint-Flour XV-XVII, 1985-87 (2-19 Juil. 1985, 17 Août - 3 Sept. 1986, 1-18 Juil. 1987). Zbl 0649.00016Diaconis, P.; Nelson, E.; Elworthy, D.; Papanicolaou, G.; Föllmer, H.; Varadhan, S. R. S. 6 1988 Radically elementary probability theory. Zbl 0651.60001Nelson, Edward 52 1987 Predicative arithmetic. Zbl 0617.03002Nelson, Edward 42 1986 Field theory and the future of stochastic mechanics. Zbl 0605.60090Nelson, Edward 2 1986 Quantum fluctuations. Zbl 0563.60001Nelson, Edward 209 1985 Critical diffusions. Zbl 0566.58037Nelson, Edward 1 1985 A remark on the polymer problem in four dimensions. Zbl 0522.60099Nelson, Edward 2 1983 Internal set theory: A new approach to nonstandard analysis. Zbl 0373.02040Nelson, Edward 198 1977 Notes on non-commutative integration. Zbl 0292.46030Nelson, Edward 319 1974 The free Markoff field. Zbl 0273.60079Nelson, Edward 260 1973 Construction of quantum fields from Markoff fields. Zbl 0252.60053Nelson, Edward 101 1973 Probability theory and Euclidean field theory. Zbl 0367.60108Nelson, Edward 23 1973 Quantum fields and Markoff fields. Zbl 0279.60096Nelson, Edward 22 1973 Time-ordered operator products of sharp-time quadratic forms. Zbl 0239.47012Nelson, Edward 28 1972 Operants: A functional calculus for non-commuting operators. Zbl 0239.47011Nelson, Edward 17 1970 Topics in dynamics. I: Flows. Zbl 0197.10702Nelson, E. 99 1969 Dynamical theories of Brownian motion. Zbl 0165.58502Nelson, Edward 387 1967 Tensor analysis. Preliminary informal notes of university courses and seminars in mathematics. Zbl 0152.39001Nelson, Edward 25 1967 Feynman integrals and the Schrödinger equation. Zbl 0133.22905Nelson, E. 202 1964 Les ecoulements incompressibles d’energie finie. Zbl 0237.35015Nelson, Edward 3 1963 A proof of Liouville’s theorem. Zbl 0124.31203Nelson, E. 10 1961 The distinguished boundary of the unit operator ball. Zbl 0103.08602Nelson, Edward 8 1961 Analytic vectors. Zbl 0091.10704Nelson, Edward 390 1959 Representation of elliptic operators in an enveloping algebra. Zbl 0092.32103Nelson, Edward; Stinespring, W. Forrest 68 1959 Regular probability measures on function space. Zbl 0087.13102Nelson, Edward 29 1959 The adjoint Markoff process. Zbl 0084.13402Nelson, Edward 44 1958 A functional calculus using singular Laplace integrals. Zbl 0081.33501Nelson, Edward 16 1958 An existence theorem for second order parabolic equations. Zbl 0115.31101Nelson, E. 14 1958 Kernel functions and eigenfunction expansions. Zbl 0086.09603Nelson, Edward 11 1958 Representation of a Markovian semigroup and its infinitesimal generator. Zbl 0082.32603Nelson, Edward 5 1958 all cited Publications top 5 cited Publications all top 5 Cited by 2,273 Authors 54 Jørgensen, Palle E. T. 50 Albeverio, Sergio A. 49 Sukochev, Fedor Anatol’evich 24 Bikchentaev, Aĭrat Midkhatovich 17 Chilin, Vladimir Ivanovich 17 Dodds, Peter G. 17 Katz, Mikhail G. 16 Kudaĭbergenov, Karimbergen Kadirbergenovich 16 Zambrini, Jean-Claude 15 Gliklikh, Yuriĭ Evgen’evich 15 Pavon, Michele 15 Van den Berg, Imme Pieter 14 de Pagter, Bernardus 14 Kanovei, Vladimir G. 13 Høegh-Krohn, Raphael J. 13 Huang, Jinghao 13 Simon, Barry 12 Ber, Aleksey Feliksovich 12 Randrianantoanina, Narcisse 12 Sanders, Sam 11 Chang, Seung Jun 11 Chung, Hyun Soo 11 de la Llave, Rafael 11 Dodds, Theresa K. 11 Mazzucchi, Sonia 11 Röckner, Michael 11 Trapani, Camillo 10 Goodman, Roe W. 10 Jefferies, Brian R. F. 10 Junge, Marius 10 Neeb, Karl-Hermann 10 Zanin, Dmitriy V. 10 Zegarlinski, Boguslaw 9 Ayupov, Shavkat Abdullaevich 9 Carlen, Eric Anders 9 Fröhlich, Jürg Martin 9 Jaffe, Arthur Michael 9 Litvinov, Semyon N. 9 Ord, Garnet N. 9 Triolo, Salvatore 9 Wallet, Guy 9 Wehr, Jan 9 Yasue, Kunio 8 Benci, Vieri 8 Cresson, Jacky 8 Dürr, Detlef 8 Garbaczewski, Piotr 8 Li, Wuchen 8 Samoĭlenko, Yuriĭ Stefanovych 8 Sviridyuk, Georgiĭ Anatol’evich 7 Bratteli, Ola 7 Faris, William G. 7 Gordon, Evgeniĭ Izrail’evich 7 Ichinose, Takashi 7 Khrennikov, Andreĭ Yur’evich 7 Klein, Abel 7 Kosaki, Hideki 7 Kutateladze, Semën Samsonovich 7 Robinson, Derek W. 7 Smolyanov, Oleg Georgievich 6 Alpay, Daniel Aron 6 Conforti, Giovanni 6 Davies, Edward Brian 6 Exner, Pavel 6 Goldstein, Sheldon 6 Gross, Leonard 6 Hiai, Fumio 6 Hrbáček, Karel 6 Jumarie, Guy M. 6 Lapidus, Michel L. 6 Léonard, Christian 6 Moretti, Valter 6 Neretin, Yuriĭ Aleksandrovich 6 Rapoport, Diego L. 6 Reeken, Michael 6 Schmüdgen, Konrad 6 Schrader, Robert 6 Sherry, David M. 6 Skoug, David 6 Truman, Aubrey 6 Ugolini, Stefania 6 Visser, Albert 6 Wallach, Nolan Russell 6 Wilde, Ivan Francis 6 Zanghi, Nino 5 Antoine, Jean-Pierre 5 Birrell, Jeremiah 5 Błaszczyk, Piotr 5 Chernoff, Paul R. 5 De Vecchi, Francesco Carlo 5 Doebner, Heinz-Dietrich 5 Ekhaguere, Godwin O. S. 5 Fuchs, Laurent 5 Goldstein, Jerome Arthur 5 Gustafson, Karl Edwin 5 Hadwin, Donald W. 5 Hairer, Martin 5 Landau, Lawrence J. 5 Mukhamedov, Farruh Maksutovich 5 Neate, Andrew D. ...and 2,173 more Authors all top 5 Cited in 426 Serials 190 Journal of Functional Analysis 153 Journal of Mathematical Physics 128 Communications in Mathematical Physics 55 Transactions of the American Mathematical Society 44 Journal of Mathematical Analysis and Applications 38 Proceedings of the American Mathematical Society 35 Journal of Statistical Physics 32 Probability Theory and Related Fields 31 International Journal of Theoretical Physics 29 Letters in Mathematical Physics 28 Journal of Differential Equations 27 Advances in Mathematics 25 Chaos, Solitons and Fractals 25 Integral Equations and Operator Theory 23 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 23 Foundations of Physics 22 Mathematische Zeitschrift 22 Annals of Pure and Applied Logic 21 Bulletin of the American Mathematical Society 20 Mathematical Notes 20 The Journal of Symbolic Logic 20 Annales de l’Institut Henri Poincaré. Physique Théorique 19 Reviews in Mathematical Physics 19 Publications of the Research Institute for Mathematical Sciences, Kyoto University 19 Stochastic Processes and their Applications 18 Physics Letters. A 17 Annals of Physics 16 Physica A 16 Reports on Mathematical Physics 16 Infinite Dimensional Analysis, Quantum Probability and Related Topics 15 Functional Analysis and its Applications 14 Journal of Soviet Mathematics 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Annales de l’Institut Fourier 13 Siberian Mathematical Journal 12 Israel Journal of Mathematics 12 Ukrainian Mathematical Journal 12 Acta Applicandae Mathematicae 12 Positivity 12 Annales Henri Poincaré 11 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 11 Synthese 11 Journal of Economic Dynamics & Control 11 Linear Algebra and its Applications 11 Journal of Mathematical Sciences (New York) 10 Archive for Rational Mechanics and Analysis 10 The Annals of Probability 10 Mathematische Annalen 10 Stochastic Analysis and Applications 10 Annales Mathématiques Blaise Pascal 10 Foundations of Science 10 Complex Analysis and Operator Theory 10 Banach Journal of Mathematical Analysis 9 Journal d’Analyse Mathématique 9 Duke Mathematical Journal 8 Theoretical and Mathematical Physics 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Inventiones Mathematicae 8 Journal of Theoretical Probability 7 Compositio Mathematica 7 Journal für die Reine und Angewandte Mathematik 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Notre Dame Journal of Formal Logic 7 Studia Logica 7 Archive for Mathematical Logic 7 Potential Analysis 7 Proceedings of the Japan Academy 7 Journal of Physics A: Mathematical and Theoretical 7 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 7 The Review of Symbolic Logic 7 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 6 Applicable Analysis 6 Rocky Mountain Journal of Mathematics 6 Acta Mathematica 6 Bulletin de la Société Mathématique de France 6 Czechoslovak Mathematical Journal 6 Proceedings of the Japan Academy. Series A 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Semigroup Forum 6 Systems & Control Letters 6 Physica D 6 International Journal of Mathematics 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Bulletin des Sciences Mathématiques 6 The Bulletin of Symbolic Logic 6 Lobachevskii Journal of Mathematics 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Logic and Analysis 5 Computers & Mathematics with Applications 5 Arkiv för Matematik 5 Journal of Geometry and Physics 5 Mathematische Nachrichten 5 Memoirs of the American Mathematical Society 5 Mathematical and Computer Modelling 5 Geometric and Functional Analysis. GAFA 5 Bulletin of the American Mathematical Society. New Series 5 Indagationes Mathematicae. New Series 5 Russian Mathematics 5 The Journal of Fourier Analysis and Applications 5 Journal of Applied Mathematics and Computing ...and 326 more Serials all top 5 Cited in 60 Fields 632 Probability theory and stochastic processes (60-XX) 553 Operator theory (47-XX) 539 Functional analysis (46-XX) 528 Quantum theory (81-XX) 299 Partial differential equations (35-XX) 175 Mathematical logic and foundations (03-XX) 169 Statistical mechanics, structure of matter (82-XX) 153 Topological groups, Lie groups (22-XX) 120 Global analysis, analysis on manifolds (58-XX) 97 Measure and integration (28-XX) 91 Dynamical systems and ergodic theory (37-XX) 86 Real functions (26-XX) 71 Abstract harmonic analysis (43-XX) 70 Ordinary differential equations (34-XX) 64 Differential geometry (53-XX) 61 Nonassociative rings and algebras (17-XX) 58 Harmonic analysis on Euclidean spaces (42-XX) 52 Relativity and gravitational theory (83-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 50 Mechanics of particles and systems (70-XX) 48 Fluid mechanics (76-XX) 46 Systems theory; control (93-XX) 43 Numerical analysis (65-XX) 42 Statistics (62-XX) 38 Information and communication theory, circuits (94-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Computer science (68-XX) 31 Integral transforms, operational calculus (44-XX) 29 General and overarching topics; collections (00-XX) 27 History and biography (01-XX) 27 Functions of a complex variable (30-XX) 25 Potential theory (31-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 20 Special functions (33-XX) 18 Biology and other natural sciences (92-XX) 17 Combinatorics (05-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 13 Algebraic geometry (14-XX) 13 Group theory and generalizations (20-XX) 13 Several complex variables and analytic spaces (32-XX) 13 Difference and functional equations (39-XX) 13 Approximations and expansions (41-XX) 12 Number theory (11-XX) 12 General topology (54-XX) 12 Manifolds and cell complexes (57-XX) 11 Optics, electromagnetic theory (78-XX) 10 Associative rings and algebras (16-XX) 9 Operations research, mathematical programming (90-XX) 7 Convex and discrete geometry (52-XX) 6 Category theory; homological algebra (18-XX) 6 Integral equations (45-XX) 6 Astronomy and astrophysics (85-XX) 5 Field theory and polynomials (12-XX) 5 Geometry (51-XX) 5 Mechanics of deformable solids (74-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Sequences, series, summability (40-XX) 4 Algebraic topology (55-XX) 3 Geophysics (86-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.