Edit Profile (opens in new tab) Nelson, Joseph Edward Compute Distance To: Compute 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 1,042 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 2,469 times in 2,172 Documents Cited by ▼ Year ▼ Analytic vectors. Zbl 0091.10704Nelson, Edward 376 1959 Dynamical theories of Brownian motion. Zbl 0165.58502Nelson, Edward 357 1967 Notes on non-commutative integration. Zbl 0292.46030Nelson, Edward 297 1974 The free Markoff field. Zbl 0273.60079Nelson, Edward 231 1973 Feynman integrals and the Schrödinger equation. Zbl 0133.22905Nelson, E. 196 1964 Quantum fluctuations. Zbl 0563.60001Nelson, Edward 184 1985 Internal set theory: A new approach to nonstandard analysis. Zbl 0373.02040Nelson, Edward 180 1977 Topics in dynamics. I: Flows. Zbl 0197.10702Nelson, E. 97 1969 Construction of quantum fields from Markoff fields. Zbl 0252.60053Nelson, Edward 92 1973 Representation of elliptic operators in an enveloping algebra. Zbl 0092.32103Nelson, Edward; Stinespring, W. Forrest 62 1959 Radically elementary probability theory. Zbl 0651.60001Nelson, Edward 48 1987 The adjoint Markoff process. Zbl 0084.13402Nelson, Edward 43 1958 Predicative arithmetic. Zbl 0617.03002Nelson, Edward 37 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 27 1972 Tensor analysis. Preliminary informal notes of university courses and seminars in mathematics. Zbl 0152.39001Nelson, Edward 23 1967 Quantum fields and Markoff fields. Zbl 0279.60096Nelson, Edward 21 1973 The syntax of nonstandard analysis. Zbl 0642.03040Nelson, Edward 20 1988 Probability theory and Euclidean field theory. Zbl 0367.60108Nelson, Edward 20 1973 Dynamical theories of Brownian motion. 2nd edition. Zbl 1375.60013Nelson, Edward 17 2001 Operants: A functional calculus for non-commuting operators. Zbl 0239.47011Nelson, Edward 16 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. 8 1961 Optimal horizons for inflation targeting. Zbl 0978.91041Batini, N.; Nelson, E. 6 2001 The distinguished boundary of the unit operator ball. Zbl 0103.08602Nelson, Edward 6 1961 Robust performance for an energy sensitive wireless body area network - an anti-windup approach. Zbl 1154.90337Walsh, M.; Hayes, M.; Nelson, J. 5 2009 The real-interest-rate gap as an inflation indicator. Zbl 1065.91031Neiss, Katharine S.; Nelson, Edward 5 2003 Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003 4 2006 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. 4 1988 Representation of a Markovian semigroup and its infinitesimal generator. Zbl 0082.32603Nelson, Edward 4 1958 Les ecoulements incompressibles d’energie finie. Zbl 0237.35015Nelson, Edward 3 1963 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 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 Critical diffusions. Zbl 0566.58037Nelson, Edward 1 1985 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 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 4 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 17 2001 Optimal horizons for inflation targeting. Zbl 0978.91041Batini, N.; Nelson, E. 6 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 20 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. 4 1988 Radically elementary probability theory. Zbl 0651.60001Nelson, Edward 48 1987 Predicative arithmetic. Zbl 0617.03002Nelson, Edward 37 1986 Field theory and the future of stochastic mechanics. Zbl 0605.60090Nelson, Edward 2 1986 Quantum fluctuations. Zbl 0563.60001Nelson, Edward 184 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 180 1977 Notes on non-commutative integration. Zbl 0292.46030Nelson, Edward 297 1974 The free Markoff field. Zbl 0273.60079Nelson, Edward 231 1973 Construction of quantum fields from Markoff fields. Zbl 0252.60053Nelson, Edward 92 1973 Quantum fields and Markoff fields. Zbl 0279.60096Nelson, Edward 21 1973 Probability theory and Euclidean field theory. Zbl 0367.60108Nelson, Edward 20 1973 Time-ordered operator products of sharp-time quadratic forms. Zbl 0239.47012Nelson, Edward 27 1972 Operants: A functional calculus for non-commuting operators. Zbl 0239.47011Nelson, Edward 16 1970 Topics in dynamics. I: Flows. Zbl 0197.10702Nelson, E. 97 1969 Dynamical theories of Brownian motion. Zbl 0165.58502Nelson, Edward 357 1967 Tensor analysis. Preliminary informal notes of university courses and seminars in mathematics. Zbl 0152.39001Nelson, Edward 23 1967 Feynman integrals and the Schrödinger equation. Zbl 0133.22905Nelson, E. 196 1964 Les ecoulements incompressibles d’energie finie. Zbl 0237.35015Nelson, Edward 3 1963 A proof of Liouville’s theorem. Zbl 0124.31203Nelson, E. 8 1961 The distinguished boundary of the unit operator ball. Zbl 0103.08602Nelson, Edward 6 1961 Analytic vectors. Zbl 0091.10704Nelson, Edward 376 1959 Representation of elliptic operators in an enveloping algebra. Zbl 0092.32103Nelson, Edward; Stinespring, W. Forrest 62 1959 Regular probability measures on function space. Zbl 0087.13102Nelson, Edward 29 1959 The adjoint Markoff process. Zbl 0084.13402Nelson, Edward 43 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 4 1958 all cited Publications top 5 cited Publications all top 5 Cited by 2,098 Authors 53 Jørgensen, Palle E. T. 45 Albeverio, Sergio A. 44 Sukochev, Fedor Anatol’evich 23 Bikchentaev, Aĭrat Midkhatovich 17 Chilin, Vladimir Ivanovich 17 Dodds, Peter G. 16 Katz, Mikhail G. 15 Gliklikh, Yuriĭ Evgen’evich 15 Pavon, Michele 14 de Pagter, Bernardus 14 Kanovei, Vladimir G. 14 Van den Berg, Imme Pieter 13 Høegh-Krohn, Raphael J. 13 Kudaĭbergenov, Karimbergen Kadirbergenovich 12 Sanders, Sam 12 Simon, Barry 12 Zambrini, Jean-Claude 11 Chang, Seung Jun 11 de la Llave, Rafael 11 Dodds, Theresa K. 11 Mazzucchi, Sonia 11 Randrianantoanina, Narcisse 11 Trapani, Camillo 10 Ber, Aleksey Feliksovich 10 Chung, Hyun Soo 10 Goodman, Roe W. 10 Junge, Marius 10 Röckner, Michael 9 Ayupov, Shavkat Abdullaevich 9 Huang, Jinghao 9 Jefferies, Brian R. F. 9 Litvinov, Semyon N. 9 Neeb, Karl-Hermann 9 Triolo, Salvatore 9 Wehr, Jan 9 Zanin, Dmitriy V. 9 Zegarlinski, Boguslaw 8 Carlen, Eric Anders 8 Cresson, Jacky 8 Dürr, Detlef 8 Garbaczewski, Piotr 8 Jaffe, Arthur Michael 8 Ord, Garnet N. 8 Samoĭlenko, Yuriĭ Stefanovych 8 Wallet, Guy 7 Bratteli, Ola 7 Faris, William G. 7 Fröhlich, Jürg Martin 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 7 Yasue, Kunio 6 Benci, Vieri 6 Conforti, Giovanni 6 Davies, Edward Brian 6 Exner, Pavel 6 Goldstein, Sheldon 6 Gross, Leonard 6 Hiai, Fumio 6 Jumarie, Guy M. 6 Lapidus, Michel L. 6 Moretti, Valter 6 Rapoport, Diego L. 6 Reeken, Michael 6 Schmüdgen, Konrad 6 Schrader, Robert 6 Sherry, David M. 6 Skoug, David 6 Sviridyuk, Georgiĭ Anatol’evich 6 Truman, Aubrey 6 Wallach, Nolan Russell 6 Wilde, Ivan Francis 6 Zanghi, Nino 5 Alpay, Daniel Aron 5 Antoine, Jean-Pierre 5 Birrell, Jeremiah 5 Błaszczyk, Piotr 5 Chernoff, Paul R. 5 Doebner, Heinz-Dietrich 5 Ekhaguere, G. O. S. 5 Goldstein, Jerome Arthur 5 Gustafson, Karl Edwin 5 Hadwin, Donald W. 5 Hairer, Martin 5 Hrbáček, Karel 5 Landau, Lawrence J. 5 Léonard, Christian 5 Li, Wuchen 5 Mukhamedov, Farruh Maksutovich 5 Neate, Andrew D. 5 Nelson, Joseph Edward 5 Neretin, Yuriĭ Aleksandrovich 5 Ostrovskyĭ, Vasyl L. 5 Piech, M. Ann 5 Powers, Robert T. ...and 1,998 more Authors all top 5 Cited in 400 Serials 185 Journal of Functional Analysis 145 Journal of Mathematical Physics 124 Communications in Mathematical Physics 54 Transactions of the American Mathematical Society 41 Journal of Mathematical Analysis and Applications 37 Proceedings of the American Mathematical Society 35 Journal of Statistical Physics 31 International Journal of Theoretical Physics 29 Letters in Mathematical Physics 28 Probability Theory and Related Fields 25 Advances in Mathematics 25 Integral Equations and Operator Theory 25 Journal of Differential Equations 22 Chaos, Solitons and Fractals 22 Mathematische Zeitschrift 22 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 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 20 Foundations of Physics 19 Publications of the Research Institute for Mathematical Sciences, Kyoto University 19 Stochastic Processes and their Applications 18 Reviews in Mathematical Physics 17 Physics Letters. A 16 Infinite Dimensional Analysis, Quantum Probability and Related Topics 15 Reports on Mathematical Physics 15 Functional Analysis and its Applications 14 Physica A 14 Journal of Soviet Mathematics 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Annales de l’Institut Fourier 13 Siberian Mathematical Journal 12 Ukrainian Mathematical Journal 12 Acta Applicandae Mathematicae 12 Positivity 11 Israel Journal of Mathematics 11 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 11 Journal of Economic Dynamics & Control 11 Annals of Physics 11 Journal of Mathematical Sciences (New York) 10 Mathematische Annalen 10 Synthese 10 Stochastic Analysis and Applications 10 Annales Mathématiques Blaise Pascal 10 Foundations of Science 10 Annales Henri Poincaré 10 Banach Journal of Mathematical Analysis 9 Archive for Rational Mechanics and Analysis 9 The Annals of Probability 9 Duke Mathematical Journal 9 Complex Analysis and Operator Theory 8 Journal d’Analyse Mathématique 8 Theoretical and Mathematical Physics 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Journal of Theoretical Probability 8 Linear Algebra and its Applications 7 Compositio Mathematica 7 Inventiones Mathematicae 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Notre Dame Journal of Formal Logic 7 Studia Logica 7 Proceedings of the Japan Academy 7 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 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 Arkiv för Matematik 6 Acta Mathematica 6 Bulletin de la Société Mathématique de France 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 Archive for Mathematical Logic 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Potential Analysis 6 Bulletin des Sciences Mathématiques 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 Journal of Geometry and Physics 5 Czechoslovak Mathematical Journal 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Nachrichten 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 Bulletin of Symbolic Logic 5 The Journal of Fourier Analysis and Applications 5 Journal of Applied Mathematics and Computing 5 International Journal of Geometric Methods in Modern Physics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 General Relativity and Gravitation 4 Mathematical Biosciences ...and 300 more Serials all top 5 Cited in 60 Fields 587 Probability theory and stochastic processes (60-XX) 527 Operator theory (47-XX) 509 Functional analysis (46-XX) 479 Quantum theory (81-XX) 266 Partial differential equations (35-XX) 159 Mathematical logic and foundations (03-XX) 150 Statistical mechanics, structure of matter (82-XX) 149 Topological groups, Lie groups (22-XX) 120 Global analysis, analysis on manifolds (58-XX) 95 Measure and integration (28-XX) 85 Dynamical systems and ergodic theory (37-XX) 78 Real functions (26-XX) 67 Abstract harmonic analysis (43-XX) 65 Ordinary differential equations (34-XX) 61 Differential geometry (53-XX) 58 Nonassociative rings and algebras (17-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 48 Mechanics of particles and systems (70-XX) 47 Relativity and gravitational theory (83-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 45 Fluid mechanics (76-XX) 39 Systems theory; control (93-XX) 38 Statistics (62-XX) 34 Numerical analysis (65-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Information and communication theory, circuits (94-XX) 28 Computer science (68-XX) 26 Integral transforms, operational calculus (44-XX) 24 History and biography (01-XX) 24 Functions of a complex variable (30-XX) 23 General and overarching topics; collections (00-XX) 21 Potential theory (31-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 19 Special functions (33-XX) 17 Biology and other natural sciences (92-XX) 14 Combinatorics (05-XX) 13 Difference and functional equations (39-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Algebraic geometry (14-XX) 12 Approximations and expansions (41-XX) 12 Manifolds and cell complexes (57-XX) 11 Group theory and generalizations (20-XX) 11 Several complex variables and analytic spaces (32-XX) 11 General topology (54-XX) 9 Number theory (11-XX) 9 Optics, electromagnetic theory (78-XX) 8 Associative rings and algebras (16-XX) 7 Operations research, mathematical programming (90-XX) 6 Category theory; homological algebra (18-XX) 6 Astronomy and astrophysics (85-XX) 5 Integral equations (45-XX) 5 Mechanics of deformable solids (74-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Field theory and polynomials (12-XX) 4 Sequences, series, summability (40-XX) 4 Geometry (51-XX) 4 Convex and discrete geometry (52-XX) 3 Geophysics (86-XX) 1 \(K\)-theory (19-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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