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: 53 Publications since 1958, including 8 Books and 2 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 27 Co-Authors with 9 Joint Publications 1,115 Co-Co-Authors all top 5 Co-Authors 44 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) 12 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 43 Publications have been cited 2,979 times in 2,587 Documents Cited by ▼ Year ▼ Analytic vectors. Zbl 0091.10704 Nelson, Edward 427 1959 Dynamical theories of Brownian motion. Zbl 0165.58502 Nelson, Edward 424 1967 Notes on non-commutative integration. Zbl 0292.46030 Nelson, Edward 353 1974 The free Markoff field. Zbl 0273.60079 Nelson, Edward 289 1973 Quantum fluctuations. Zbl 0563.60001 Nelson, Edward 248 1985 Feynman integrals and the Schrödinger equation. Zbl 0133.22905 Nelson, E. 223 1964 Internal set theory: A new approach to nonstandard analysis. Zbl 0373.02040 Nelson, Edward 208 1977 Construction of quantum fields from Markoff fields. Zbl 0252.60053 Nelson, Edward 120 1973 Topics in dynamics. I: Flows. Zbl 0197.10702 Nelson, E. 107 1969 Representation of elliptic operators in an enveloping algebra. Zbl 0092.32103 Nelson, Edward; Stinespring, W. Forrest 76 1959 Predicative arithmetic. Zbl 0617.03002 Nelson, Edward 62 1986 Radically elementary probability theory. Zbl 0651.60001 Nelson, Edward 58 1987 The adjoint Markoff process. Zbl 0084.13402 Nelson, Edward 46 1958 Probability theory and Euclidean field theory. Zbl 0367.60108 Nelson, Edward 34 1973 Time-ordered operator products of sharp-time quadratic forms. Zbl 0239.47012 Nelson, Edward 32 1972 Tensor analysis. Preliminary informal notes of university courses and seminars in mathematics. Zbl 0152.39001 Nelson, Edward 30 1967 Quantum fields and Markoff fields. Zbl 0279.60096 Nelson, Edward 29 1973 Regular probability measures on function space. Zbl 0087.13102 Nelson, Edward 29 1959 Dynamical theories of Brownian motion. 2nd edition. Zbl 1375.60013 Nelson, Edward 26 2001 The syntax of nonstandard analysis. Zbl 0642.03040 Nelson, Edward 22 1988 Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003 22 2006 Operants: A functional calculus for non-commuting operators. Zbl 0239.47011 Nelson, Edward 18 1970 A functional calculus using singular Laplace integrals. Zbl 0081.33501 Nelson, Edward 16 1958 A proof of Liouville’s theorem. Zbl 0124.31203 Nelson, E. 14 1961 An existence theorem for second order parabolic equations. Zbl 0115.31101 Nelson, E. 14 1958 Kernel functions and eigenfunction expansions. Zbl 0086.09603 Nelson, Edward 11 1958 The distinguished boundary of the unit operator ball. Zbl 0103.08602 Nelson, Edward 8 1961 Stochastic mechanics and random fields. Zbl 0669.60097 Nelson, Edward 7 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. 7 1988 Optimal horizons for inflation targeting. Zbl 0978.91041 Batini, N.; Nelson, E. 7 2001 Field theory and the future of stochastic mechanics. Zbl 0605.60090 Nelson, Edward 6 1986 Robust performance for an energy sensitive wireless body area network - an anti-windup approach. Zbl 1154.90337 Walsh, M.; Hayes, M.; Nelson, J. 5 2009 The real-interest-rate gap as an inflation indicator. Zbl 1065.91031 Neiss, Katharine S.; Nelson, Edward 5 2003 Les ecoulements incompressibles d’energie finie. Zbl 0237.35015 Nelson, Edward 5 1963 Representation of a Markovian semigroup and its infinitesimal generator. Zbl 0082.32603 Nelson, Edward 5 1958 A remark on the polymer problem in four dimensions. Zbl 0522.60099 Nelson, Edward 3 1983 Taking formalism seriously. Zbl 0797.03060 Nelson, Edward 2 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 2 2009 Markov fields. Zbl 0367.60109 Nelson, Edward 2 1975 Critical diffusions. Zbl 0566.58037 Nelson, Edward 1 1985 L’équation de Schrödinger et les intégrales de Feynman. (Schrödinger equation and the Feynman integrals.). Zbl 0232.35033 Nelson, Edward 1 1963 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. 1 1999 Mathematical physics at Saint-Flour. Selected lectures of the Saint-Flour Probability Summer School – École d’Été de Probabilités de Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 929 (1982), 1362 (1988) and 1816 (2003). Zbl 1237.00028 1 2012 Mathematical physics at Saint-Flour. Selected lectures of the Saint-Flour Probability Summer School – École d’Été de Probabilités de Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 929 (1982), 1362 (1988) and 1816 (2003). Zbl 1237.00028 1 2012 Robust performance for an energy sensitive wireless body area network - an anti-windup approach. Zbl 1154.90337 Walsh, 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 1170.91459 Andrés, Javier; López-Salido, J. David; Nelson, Edward 2 2009 Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003 22 2006 The real-interest-rate gap as an inflation indicator. Zbl 1065.91031 Neiss, Katharine S.; Nelson, Edward 5 2003 Dynamical theories of Brownian motion. 2nd edition. Zbl 1375.60013 Nelson, Edward 26 2001 Optimal horizons for inflation targeting. Zbl 0978.91041 Batini, N.; Nelson, E. 7 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. 1 1999 Taking formalism seriously. Zbl 0797.03060 Nelson, Edward 2 1993 The syntax of nonstandard analysis. Zbl 0642.03040 Nelson, Edward 22 1988 Stochastic mechanics and random fields. Zbl 0669.60097 Nelson, Edward 7 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. 7 1988 Radically elementary probability theory. Zbl 0651.60001 Nelson, Edward 58 1987 Predicative arithmetic. Zbl 0617.03002 Nelson, Edward 62 1986 Field theory and the future of stochastic mechanics. Zbl 0605.60090 Nelson, Edward 6 1986 Quantum fluctuations. Zbl 0563.60001 Nelson, Edward 248 1985 Critical diffusions. Zbl 0566.58037 Nelson, Edward 1 1985 A remark on the polymer problem in four dimensions. Zbl 0522.60099 Nelson, Edward 3 1983 Internal set theory: A new approach to nonstandard analysis. Zbl 0373.02040 Nelson, Edward 208 1977 Markov fields. Zbl 0367.60109 Nelson, Edward 2 1975 Notes on non-commutative integration. Zbl 0292.46030 Nelson, Edward 353 1974 The free Markoff field. Zbl 0273.60079 Nelson, Edward 289 1973 Construction of quantum fields from Markoff fields. Zbl 0252.60053 Nelson, Edward 120 1973 Probability theory and Euclidean field theory. Zbl 0367.60108 Nelson, Edward 34 1973 Quantum fields and Markoff fields. Zbl 0279.60096 Nelson, Edward 29 1973 Time-ordered operator products of sharp-time quadratic forms. Zbl 0239.47012 Nelson, Edward 32 1972 Operants: A functional calculus for non-commuting operators. Zbl 0239.47011 Nelson, Edward 18 1970 Topics in dynamics. I: Flows. Zbl 0197.10702 Nelson, E. 107 1969 Dynamical theories of Brownian motion. Zbl 0165.58502 Nelson, Edward 424 1967 Tensor analysis. Preliminary informal notes of university courses and seminars in mathematics. Zbl 0152.39001 Nelson, Edward 30 1967 Feynman integrals and the Schrödinger equation. Zbl 0133.22905 Nelson, E. 223 1964 Les ecoulements incompressibles d’energie finie. Zbl 0237.35015 Nelson, Edward 5 1963 L’équation de Schrödinger et les intégrales de Feynman. (Schrödinger equation and the Feynman integrals.). Zbl 0232.35033 Nelson, Edward 1 1963 A proof of Liouville’s theorem. Zbl 0124.31203 Nelson, E. 14 1961 The distinguished boundary of the unit operator ball. Zbl 0103.08602 Nelson, Edward 8 1961 Analytic vectors. Zbl 0091.10704 Nelson, Edward 427 1959 Representation of elliptic operators in an enveloping algebra. Zbl 0092.32103 Nelson, Edward; Stinespring, W. Forrest 76 1959 Regular probability measures on function space. Zbl 0087.13102 Nelson, Edward 29 1959 The adjoint Markoff process. Zbl 0084.13402 Nelson, Edward 46 1958 A functional calculus using singular Laplace integrals. Zbl 0081.33501 Nelson, Edward 16 1958 An existence theorem for second order parabolic equations. Zbl 0115.31101 Nelson, E. 14 1958 Kernel functions and eigenfunction expansions. Zbl 0086.09603 Nelson, Edward 11 1958 Representation of a Markovian semigroup and its infinitesimal generator. Zbl 0082.32603 Nelson, Edward 5 1958 all cited Publications top 5 cited Publications all top 5 Cited by 2,497 Authors 57 Jørgensen, Palle E. T. 56 Albeverio, Sergio A. 55 Sukochev, Fedor Anatol’evich 24 Bikchentaev, Aĭrat Midkhatovich 20 Gliklikh, Yuriĭ Evgen’evich 19 Huang, Jinghao 18 Katz, Mikhail G. 17 Chilin, Vladimir Ivanovich 17 Dodds, Peter G. 17 Kudaĭbergenov, Karimbergen Kadirbergenovich 17 Zambrini, Jean-Claude 16 Pavon, Michele 16 Van den Berg, Imme Pieter 15 Høegh-Krohn, Raphael J. 14 de Pagter, Bernardus 14 Kanovei, Vladimir G. 13 Randrianantoanina, Narcisse 13 Simon, Barry 12 Ber, Aleksey Feliksovich 12 Chang, Seung Jun 12 Chung, Hyun Soo 12 de la Llave, Rafael 12 Li, Wuchen 12 Mazzucchi, Sonia 12 Röckner, Michael 12 Sanders, Sam 12 Trapani, Camillo 11 Dodds, Theresa K. 11 Khrennikov, Andreĭ Yur’evich 11 Neeb, Karl-Hermann 11 Triolo, Salvatore 11 Zanin, Dmitriy V. 10 Ayupov, Shavkat Abdullaevich 10 Fröhlich, Jürg Martin 10 Goodman, Roe W. 10 Jaffe, Arthur Michael 10 Jefferies, Brian R. F. 10 Junge, Marius 10 Litvinov, Semyon N. 10 Zegarlinski, Boguslaw 9 Carlen, Eric Anders 9 Cresson, Jacky 9 Garbaczewski, Piotr 9 Ord, Garnet N. 9 Wallet, Guy 9 Wehr, Jan 9 Yasue, Kunio 8 Alpay, Daniel Aron 8 Benci, Vieri 8 Dürr, Detlef 8 Hrbáček, Karel 8 Léonard, Christian 8 Samoĭlenko, Yuriĭ Stefanovych 8 Sviridyuk, Georgiĭ Anatol’evich 8 Visser, Albert 7 Bratteli, Ola 7 Conforti, Giovanni 7 Faris, William G. 7 Gordon, Evgeniĭ Izrail’evich 7 Gross, Leonard 7 Hiai, Fumio 7 Ichinose, Takashi 7 Jumarie, Guy M. 7 Klein, Abel 7 Kosaki, Hideki 7 Kutateladze, Semën Samsonovich 7 Ricci, Fulvio 7 Robinson, Derek William 7 Schmüdgen, Konrad 7 Smolyanov, Oleg Georgievich 7 Ugolini, Stefania 7 Willard, Dan E. 6 Antoine, Jean-Pierre 6 Davies, Edward Brian 6 De Vecchi, Francesco Carlo 6 Exner, Pavel 6 Gielerak, Roman 6 Goldstein, Sheldon 6 Hadwin, Donald W. 6 Hairer, Martin 6 Lapidus, Michel L. 6 Moretti, Valter 6 Muratore-Ginanneschi, Paolo 6 Neretin, Yuriĭ Aleksandrovich 6 Rapoport, Diego L. 6 Reeken, Michael 6 Schrader, Robert 6 Sherry, David M. 6 Skoug, David 6 Truman, Aubrey 6 Wallach, Nolan Russell 6 Wilde, Ivan Francis 6 Zanghì, Nino 6 Zhou, Hao-Min 5 Accardi, Luigi 5 Adamczak, Radosław 5 Birrell, Jeremiah 5 Błaszczyk, Piotr 5 Carpi, Sebastiano 5 Chernoff, Paul R. ...and 2,397 more Authors all top 5 Cited in 453 Serials 198 Journal of Functional Analysis 159 Journal of Mathematical Physics 128 Communications in Mathematical Physics 57 Transactions of the American Mathematical Society 46 Journal of Mathematical Analysis and Applications 42 Reports on Mathematical Physics 39 Proceedings of the American Mathematical Society 37 Journal of Statistical Physics 32 Journal of Differential Equations 32 Probability Theory and Related Fields 31 International Journal of Theoretical Physics 30 Letters in Mathematical Physics 30 Annals of Physics 28 Chaos, Solitons and Fractals 28 Advances in Mathematics 26 Integral Equations and Operator Theory 26 Annals of Pure and Applied Logic 26 Foundations of Physics 23 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 22 Physica A 22 Physics Letters. A 22 Mathematische Zeitschrift 21 Bulletin of the American Mathematical Society 20 Mathematical Notes 20 Reviews in Mathematical Physics 20 The Journal of Symbolic Logic 20 Stochastic Processes and their Applications 20 Annales de l’Institut Henri Poincaré. Physique Théorique 19 Publications of the Research Institute for Mathematical Sciences, Kyoto University 16 Functional Analysis and its Applications 16 Infinite Dimensional Analysis, Quantum Probability and Related Topics 16 Annales Henri Poincaré 14 Annales de l’Institut Fourier 14 Journal of Soviet Mathematics 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Mathematische Annalen 13 Siberian Mathematical Journal 13 Journal of Mathematical Sciences (New York) 13 Positivity 13 Journal of Physics A: Mathematical and Theoretical 12 Israel Journal of Mathematics 12 Ukrainian Mathematical Journal 12 Acta Applicandae Mathematicae 12 Linear Algebra and its Applications 11 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 11 The Annals of Probability 11 Synthese 11 Journal of Economic Dynamics & Control 11 Banach Journal of Mathematical Analysis 10 Archive for Rational Mechanics and Analysis 10 Stochastic Analysis and Applications 10 Annales Mathématiques Blaise Pascal 10 Foundations of Science 10 Complex Analysis and Operator Theory 9 Journal d’Analyse Mathématique 9 Theoretical and Mathematical Physics 9 Duke Mathematical Journal 9 Inventiones Mathematicae 9 Mathematische Nachrichten 9 Journal of Theoretical Probability 9 Potential Analysis 9 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 The Bulletin of Symbolic Logic 8 The Journal of Fourier Analysis and Applications 8 The Review of Symbolic Logic 8 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 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 Physica D 7 Archive for Mathematical Logic 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Mathematical Logic Quarterly (MLQ) 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Proceedings of the Japan Academy 7 Journal of Logic and Analysis 6 Applicable Analysis 6 Rocky Mountain Journal of Mathematics 6 Studia Mathematica 6 Arkiv för Matematik 6 Journal of Geometry and Physics 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 Results in Mathematics 6 Semigroup Forum 6 Advances in Applied Mathematics 6 Systems & Control Letters 6 Mathematical and Computer Modelling 6 International Journal of Mathematics 6 Indagationes Mathematicae. New Series 6 Bulletin des Sciences Mathématiques 6 Lobachevskii Journal of Mathematics 6 International Journal of Geometric Methods in Modern Physics 6 Journal of Statistical Mechanics: Theory and Experiment ...and 353 more Serials all top 5 Cited in 61 Fields 686 Probability theory and stochastic processes (60-XX) 602 Functional analysis (46-XX) 598 Operator theory (47-XX) 596 Quantum theory (81-XX) 335 Partial differential equations (35-XX) 205 Mathematical logic and foundations (03-XX) 199 Statistical mechanics, structure of matter (82-XX) 176 Topological groups, Lie groups (22-XX) 134 Global analysis, analysis on manifolds (58-XX) 106 Measure and integration (28-XX) 103 Dynamical systems and ergodic theory (37-XX) 93 Real functions (26-XX) 83 Abstract harmonic analysis (43-XX) 76 Ordinary differential equations (34-XX) 68 Harmonic analysis on Euclidean spaces (42-XX) 68 Differential geometry (53-XX) 66 Nonassociative rings and algebras (17-XX) 61 Relativity and gravitational theory (83-XX) 58 Calculus of variations and optimal control; optimization (49-XX) 57 Mechanics of particles and systems (70-XX) 55 Systems theory; control (93-XX) 52 Statistics (62-XX) 52 Numerical analysis (65-XX) 52 Fluid mechanics (76-XX) 45 Information and communication theory, circuits (94-XX) 37 Computer science (68-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 General and overarching topics; collections (00-XX) 32 History and biography (01-XX) 31 Integral transforms, operational calculus (44-XX) 30 Functions of a complex variable (30-XX) 30 Potential theory (31-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 21 Special functions (33-XX) 18 Difference and functional equations (39-XX) 18 Biology and other natural sciences (92-XX) 17 Combinatorics (05-XX) 16 Approximations and expansions (41-XX) 15 Algebraic geometry (14-XX) 15 Several complex variables and analytic spaces (32-XX) 15 Optics, electromagnetic theory (78-XX) 14 Group theory and generalizations (20-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 13 Number theory (11-XX) 12 General topology (54-XX) 12 Manifolds and cell complexes (57-XX) 11 Associative rings and algebras (16-XX) 9 Operations research, mathematical programming (90-XX) 8 Category theory; homological algebra (18-XX) 8 Convex and discrete geometry (52-XX) 7 Integral equations (45-XX) 6 Field theory and polynomials (12-XX) 6 Mechanics of deformable solids (74-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Astronomy and astrophysics (85-XX) 5 Sequences, series, summability (40-XX) 5 Geometry (51-XX) 4 Algebraic topology (55-XX) 3 Geophysics (86-XX) 1 Commutative algebra (13-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. 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