## Nelson, Joseph Edward

Compute Distance To:
 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 1,061 Co-Co-Authors
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### 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
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### 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
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### 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)

### Citations contained in zbMATH Open

39 Publications have been cited 2,506 times in 2,207 Documents Cited by Year
Analytic vectors. Zbl 0091.10704
Nelson, Edward
1959
Dynamical theories of Brownian motion. Zbl 0165.58502
Nelson, Edward
1967
Notes on non-commutative integration. Zbl 0292.46030
Nelson, Edward
1974
The free Markoff field. Zbl 0273.60079
Nelson, Edward
1973
Feynman integrals and the Schrödinger equation. Zbl 0133.22905
Nelson, E.
1964
Quantum fluctuations. Zbl 0563.60001
Nelson, Edward
1985
Internal set theory: A new approach to nonstandard analysis. Zbl 0373.02040
Nelson, Edward
1977
Topics in dynamics. I: Flows. Zbl 0197.10702
Nelson, E.
1969
Construction of quantum fields from Markoff fields. Zbl 0252.60053
Nelson, Edward
1973
Representation of elliptic operators in an enveloping algebra. Zbl 0092.32103
Nelson, Edward; Stinespring, W. Forrest
1959
Radically elementary probability theory. Zbl 0651.60001
Nelson, Edward
1987
The adjoint Markoff process. Zbl 0084.13402
Nelson, Edward
1958
Predicative arithmetic. Zbl 0617.03002
Nelson, Edward
1986
Regular probability measures on function space. Zbl 0087.13102
Nelson, Edward
1959
Time-ordered operator products of sharp-time quadratic forms. Zbl 0239.47012
Nelson, Edward
1972
Tensor analysis. Preliminary informal notes of university courses and seminars in mathematics. Zbl 0152.39001
Nelson, Edward
1967
Quantum fields and Markoff fields. Zbl 0279.60096
Nelson, Edward
1973
Probability theory and Euclidean field theory. Zbl 0367.60108
Nelson, Edward
1973
The syntax of nonstandard analysis. Zbl 0642.03040
Nelson, Edward
1988
Operants: A functional calculus for non-commuting operators. Zbl 0239.47011
Nelson, Edward
1970
Dynamical theories of Brownian motion. 2nd edition. Zbl 1375.60013
Nelson, Edward
2001
A functional calculus using singular Laplace integrals. Zbl 0081.33501
Nelson, Edward
1958
An existence theorem for second order parabolic equations. Zbl 0115.31101
Nelson, E.
1958
Kernel functions and eigenfunction expansions. Zbl 0086.09603
Nelson, Edward
1958
A proof of Liouville’s theorem. Zbl 0124.31203
Nelson, E.
1961
The distinguished boundary of the unit operator ball. Zbl 0103.08602
Nelson, Edward
1961
Optimal horizons for inflation targeting. Zbl 0978.91041
Batini, N.; Nelson, E.
2001
The real-interest-rate gap as an inflation indicator. Zbl 1065.91031
Neiss, Katharine S.; Nelson, Edward
2003
Robust performance for an energy sensitive wireless body area network - an anti-windup approach. Zbl 1154.90337
Walsh, M.; Hayes, M.; Nelson, J.
2009
Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003
2006
Representation of a Markovian semigroup and its infinitesimal generator. Zbl 0082.32603
Nelson, Edward
1958
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 0649.00016
Diaconis, P.; Nelson, E.; Elworthy, D.; Papanicolaou, G.; Föllmer, H.; Varadhan, S. R. S.
1988
Les ecoulements incompressibles d’energie finie. Zbl 0237.35015
Nelson, Edward
1963
Taking formalism seriously. Zbl 0797.03060
Nelson, Edward
1993
Money and the natural rate of interest: structural estimates for the United States and the euro area. Zbl 1170.91459
Andrés, Javier; López-Salido, J. David; Nelson, Edward
2009
A remark on the polymer problem in four dimensions. Zbl 0522.60099
Nelson, Edward
1983
Field theory and the future of stochastic mechanics. Zbl 0605.60090
Nelson, Edward
1986
Irving Ezra Segal (1918–1998). Zbl 1194.01056
Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S.
1999
Critical diffusions. Zbl 0566.58037
Nelson, Edward
1985
Robust performance for an energy sensitive wireless body area network - an anti-windup approach. Zbl 1154.90337
Walsh, M.; Hayes, M.; Nelson, J.
2009
Money and the natural rate of interest: structural estimates for the United States and the euro area. Zbl 1170.91459
Andrés, Javier; López-Salido, J. David; Nelson, Edward
2009
Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003
2006
The real-interest-rate gap as an inflation indicator. Zbl 1065.91031
Neiss, Katharine S.; Nelson, Edward
2003
Dynamical theories of Brownian motion. 2nd edition. Zbl 1375.60013
Nelson, Edward
2001
Optimal horizons for inflation targeting. Zbl 0978.91041
Batini, N.; Nelson, E.
2001
Irving Ezra Segal (1918–1998). Zbl 1194.01056
Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S.
1999
Taking formalism seriously. Zbl 0797.03060
Nelson, Edward
1993
The syntax of nonstandard analysis. Zbl 0642.03040
Nelson, Edward
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 0649.00016
Diaconis, P.; Nelson, E.; Elworthy, D.; Papanicolaou, G.; Föllmer, H.; Varadhan, S. R. S.
1988
Radically elementary probability theory. Zbl 0651.60001
Nelson, Edward
1987
Predicative arithmetic. Zbl 0617.03002
Nelson, Edward
1986
Field theory and the future of stochastic mechanics. Zbl 0605.60090
Nelson, Edward
1986
Quantum fluctuations. Zbl 0563.60001
Nelson, Edward
1985
Critical diffusions. Zbl 0566.58037
Nelson, Edward
1985
A remark on the polymer problem in four dimensions. Zbl 0522.60099
Nelson, Edward
1983
Internal set theory: A new approach to nonstandard analysis. Zbl 0373.02040
Nelson, Edward
1977
Notes on non-commutative integration. Zbl 0292.46030
Nelson, Edward
1974
The free Markoff field. Zbl 0273.60079
Nelson, Edward
1973
Construction of quantum fields from Markoff fields. Zbl 0252.60053
Nelson, Edward
1973
Quantum fields and Markoff fields. Zbl 0279.60096
Nelson, Edward
1973
Probability theory and Euclidean field theory. Zbl 0367.60108
Nelson, Edward
1973
Time-ordered operator products of sharp-time quadratic forms. Zbl 0239.47012
Nelson, Edward
1972
Operants: A functional calculus for non-commuting operators. Zbl 0239.47011
Nelson, Edward
1970
Topics in dynamics. I: Flows. Zbl 0197.10702
Nelson, E.
1969
Dynamical theories of Brownian motion. Zbl 0165.58502
Nelson, Edward
1967
Tensor analysis. Preliminary informal notes of university courses and seminars in mathematics. Zbl 0152.39001
Nelson, Edward
1967
Feynman integrals and the Schrödinger equation. Zbl 0133.22905
Nelson, E.
1964
Les ecoulements incompressibles d’energie finie. Zbl 0237.35015
Nelson, Edward
1963
A proof of Liouville’s theorem. Zbl 0124.31203
Nelson, E.
1961
The distinguished boundary of the unit operator ball. Zbl 0103.08602
Nelson, Edward
1961
Analytic vectors. Zbl 0091.10704
Nelson, Edward
1959
Representation of elliptic operators in an enveloping algebra. Zbl 0092.32103
Nelson, Edward; Stinespring, W. Forrest
1959
Regular probability measures on function space. Zbl 0087.13102
Nelson, Edward
1959
The adjoint Markoff process. Zbl 0084.13402
Nelson, Edward
1958
A functional calculus using singular Laplace integrals. Zbl 0081.33501
Nelson, Edward
1958
An existence theorem for second order parabolic equations. Zbl 0115.31101
Nelson, E.
1958
Kernel functions and eigenfunction expansions. Zbl 0086.09603
Nelson, Edward
1958
Representation of a Markovian semigroup and its infinitesimal generator. Zbl 0082.32603
Nelson, Edward
1958
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### Cited by 2,148 Authors

 53 Jørgensen, Palle E. T. 47 Albeverio, Sergio A. 45 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 Kudaĭbergenov, Karimbergen Kadirbergenovich 14 Van den Berg, Imme Pieter 13 Høegh-Krohn, Raphael J. 12 Sanders, Sam 12 Simon, Barry 12 Zambrini, Jean-Claude 11 Ber, Aleksey Feliksovich 11 Chang, Seung Jun 11 de la Llave, Rafael 11 Dodds, Theresa K. 11 Mazzucchi, Sonia 11 Randrianantoanina, Narcisse 11 Trapani, Camillo 10 Chung, Hyun Soo 10 Goodman, Roe W. 10 Jefferies, Brian R. F. 10 Junge, Marius 10 Röckner, Michael 9 Ayupov, Shavkat Abdullaevich 9 Huang, Jinghao 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 Fröhlich, Jürg Martin 8 Garbaczewski, Piotr 8 Jaffe, Arthur Michael 8 Ord, Garnet N. 8 Samoĭlenko, Yuriĭ Stefanovych 8 Wallet, Guy 7 Benci, Vieri 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 7 Yasue, Kunio 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 Li, Wuchen 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, Godwin 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 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 2,048 more Authors
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### Cited in 407 Serials

 186 Journal of Functional Analysis 145 Journal of Mathematical Physics 124 Communications in Mathematical Physics 54 Transactions of the American Mathematical Society 43 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 29 Probability Theory and Related Fields 26 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 22 Foundations of Physics 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 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 12 Annales Henri Poincaré 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 Archive for Rational Mechanics and Analysis 10 Mathematische Annalen 10 Synthese 10 Stochastic Analysis and Applications 10 Annales Mathématiques Blaise Pascal 10 Foundations of Science 10 Banach Journal of Mathematical Analysis 9 The Annals of Probability 9 Duke Mathematical Journal 9 Linear Algebra and its Applications 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 7 Compositio Mathematica 7 Inventiones Mathematicae 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 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 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 307 more Serials
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### Cited in 60 Fields

 595 Probability theory and stochastic processes (60-XX) 532 Operator theory (47-XX) 520 Functional analysis (46-XX) 495 Quantum theory (81-XX) 271 Partial differential equations (35-XX) 159 Mathematical logic and foundations (03-XX) 156 Statistical mechanics, structure of matter (82-XX) 151 Topological groups, Lie groups (22-XX) 121 Global analysis, analysis on manifolds (58-XX) 93 Measure and integration (28-XX) 88 Dynamical systems and ergodic theory (37-XX) 80 Real functions (26-XX) 68 Abstract harmonic analysis (43-XX) 66 Ordinary differential equations (34-XX) 61 Differential geometry (53-XX) 58 Nonassociative rings and algebras (17-XX) 57 Harmonic analysis on Euclidean spaces (42-XX) 48 Mechanics of particles and systems (70-XX) 47 Relativity and gravitational theory (83-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 45 Fluid mechanics (76-XX) 42 Systems theory; control (93-XX) 39 Statistics (62-XX) 35 Numerical analysis (65-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 33 Information and communication theory, circuits (94-XX) 29 Integral transforms, operational calculus (44-XX) 29 Computer science (68-XX) 26 Functions of a complex variable (30-XX) 24 General and overarching topics; collections (00-XX) 24 History and biography (01-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 21 Potential theory (31-XX) 19 Special functions (33-XX) 17 Biology and other natural sciences (92-XX) 14 Combinatorics (05-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 13 Several complex variables and analytic spaces (32-XX) 13 Difference and functional equations (39-XX) 12 Group theory and generalizations (20-XX) 12 General topology (54-XX) 12 Manifolds and cell complexes (57-XX) 11 Algebraic geometry (14-XX) 11 Approximations and expansions (41-XX) 9 Number theory (11-XX) 9 Associative rings and algebras (16-XX) 9 Optics, electromagnetic theory (78-XX) 7 Operations research, mathematical programming (90-XX) 6 Category theory; homological algebra (18-XX) 6 Astronomy and astrophysics (85-XX) 5 Field theory and polynomials (12-XX) 5 Integral equations (45-XX) 5 Convex and discrete geometry (52-XX) 5 Mechanics of deformable solids (74-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Sequences, series, summability (40-XX) 4 Geometry (51-XX) 3 Geophysics (86-XX) 2 Algebraic topology (55-XX) 1 $$K$$-theory (19-XX)

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