Edit Profile (opens in new tab) Hoffman, William C. Co-Author Distance Author ID: hoffman.william-c Published as: Hoffman, William C.; Hoffman, W. C. Documents Indexed: 18 Publications since 1954 Co-Authors: 2 Co-Authors with 1 Joint Publication 30 Co-Co-Authors Co-Authors 17 single-authored 1 Bryson, Arthur Earl jun. 1 Parsons, Michael G. all top 5 Serials 2 Mathematical Biosciences 2 Quarterly of Applied Mathematics 1 American Mathematical Monthly 1 International Journal of Man-Machine Studies 1 Moscow University Mathematics Bulletin 1 Applied Mathematics and Computation 1 Journal of Mathematical Psychology 1 Journal of Optimization Theory and Applications 1 Kiberneticheskiĭ Sbornik. Novaya Seriya 1 Mathematical Modelling 1 SIAM Review 1 Symmetry: Culture and Science 1 Journal of Applied Physics 1 Journal of Research of the National Bureau of Standards 1 Kybernetik all top 5 Fields 7 Biology and other natural sciences (92-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Topological groups, Lie groups (22-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 9 Publications have been cited 84 times in 67 Documents Cited by ▼ Year ▼ The visual cortex is a contact bundle. Zbl 0676.92020 Hoffman, William C. 29 1989 The Lie algebra of visual perception. Zbl 0136.41803 Hoffman, W. C. 28 1966 Higher visual perception as prolongation of the basic Lie transformation group. Zbl 0241.92007 Hoffman, William C. 12 1970 The neuron as a Lie group germ and a Lie product. Zbl 0155.29501 Hoffman, W. C. 7 1968 Visual illusions of angle as an application of Lie transformation groups. Zbl 0215.59302 Hoffman, W. C. 4 1971 Solution of the initial value problem for the Riccati equation. Zbl 0133.33701 Hoffman, W. C. 1 1965 Wave propagation in a general random continuous medium. Zbl 0152.16104 Hoffman, W. C. 1 1964 A system of axioms for mathematical biology. Zbl 0249.92001 Hoffman, William C. 1 1973 The joint distribution of \(n\) successive outputs of a linear detector. Zbl 0056.21601 Hoffman, William C. 1 1954 The visual cortex is a contact bundle. Zbl 0676.92020 Hoffman, William C. 29 1989 A system of axioms for mathematical biology. Zbl 0249.92001 Hoffman, William C. 1 1973 Visual illusions of angle as an application of Lie transformation groups. Zbl 0215.59302 Hoffman, W. C. 4 1971 Higher visual perception as prolongation of the basic Lie transformation group. Zbl 0241.92007 Hoffman, William C. 12 1970 The neuron as a Lie group germ and a Lie product. Zbl 0155.29501 Hoffman, W. C. 7 1968 The Lie algebra of visual perception. Zbl 0136.41803 Hoffman, W. C. 28 1966 Solution of the initial value problem for the Riccati equation. Zbl 0133.33701 Hoffman, W. C. 1 1965 Wave propagation in a general random continuous medium. Zbl 0152.16104 Hoffman, W. C. 1 1964 The joint distribution of \(n\) successive outputs of a linear detector. Zbl 0056.21601 Hoffman, William C. 1 1954 all cited Publications top 5 cited Publications all top 5 Cited by 86 Authors 17 Citti, Giovanna 17 Sarti, Alessandro 4 Hoffman, William C. 3 Boscain, Ugo 3 Chen, Kathleen C. 3 Chen, Mou-Ta 3 Franceschiello, Benedetta 3 Leyton, Michael 2 Barbieri, Davide Francesco 2 Carlton, Eloise H. 2 Cocci, Giacomo 2 Favali, Marta 2 Koenderink, Jan J. 2 Petitot, Jean 2 Pinkham, Roger S. 2 Prandi, Dario 2 Shepard, Roger N. 2 Stewart, Alan L. 1 Abbasi-Sureshjani, Samaneh 1 Agop, Maricel 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Bartlett, Warren K. 1 Baspinar, Emre 1 Ben-Shahar, Ohad 1 Ben-Yosef, Guy 1 Blaivas, A. S. 1 Bolelli, Maria Virginia 1 Butuc, Irina 1 Caelli, Terry M. 1 Capogna, Luca 1 Chertovskih, Roman A. 1 Cuijpers, Raymond H. 1 d’Eon, Eugene 1 Duits, Remco 1 Dzhafarov, Ehtibar N. 1 Ehm, Werner 1 Fienberg, Stephen Elliot 1 Foster, David H. 1 Gafni, H. 1 Gaines, Brian R. 1 Galeotti, Mattia 1 Gatu, Irina 1 Gauthier, Jean-Paul A. 1 Ghizdovat, Vlad 1 Giovannardi, Gianmarco 1 Goebel, R. Patrick 1 Hladky, Robert Keith 1 Houghton, G. 1 Iacob, Dan Dezideriu 1 Indow, Tarow 1 Kappers, Astrid M. L. 1 Konovenko, Nadiya G. 1 Landon, Douglas E. 1 Larntz, F. Kinley jun. 1 Lazar, Aurel A. 1 Liontou, Vasiliki 1 Lychagin, Valentin V. 1 Mashtakov, Alexey P. 1 Mazilu, Nicolae 1 Mazzetti, Caterina 1 Montobbio, Noemi 1 Musso, Emilio 1 Newbill, Ronald 1 Nicolodi, Lorenzo 1 Nooter, Maarten 1 Pattison, Philippa E. 1 Pauls, Scott D. 1 Pnevmatikakis, Eftychios A. 1 Remizov, Alexey O. 1 Ritoré, Manuel 1 Rossi, Francesco 1 Saaty, Thomas L. 1 Sacchelli, Ludovic 1 Sachkov, Yuriĭ Leonidovich 1 Sanguinetti, Gonzalo 1 Silverman, Richard A. 1 Steyvers, Mark 1 ter Haar Romeny, Bart M. 1 Townsend, James T. 1 Turco, Giuseppina 1 van Leeuwen, Cees 1 Vargas, Luis G. 1 Wackermann, Jiří 1 Zeevi, Yehoshua Y. 1 Zhou, Yiyin 1 Zucker, Steven Warren all top 5 Cited in 27 Serials 14 Journal of Mathematical Psychology 8 Journal of Mathematical Imaging and Vision 6 Biological Cybernetics 5 Mathematical Biosciences 3 Neural Computation 2 Differential Geometry and its Applications 2 The Journal of Mathematical Neuroscience 1 International Journal of General Systems 1 International Journal of Theoretical Physics 1 Psychometrika 1 Chaos, Solitons and Fractals 1 Information Sciences 1 Siberian Mathematical Journal 1 Mathematical Social Sciences 1 Mathematical and Computer Modelling 1 Neural Networks 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Journal of Computational Neuroscience 1 Journal of Modern Optics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Applied Physics 1 The Bulletin of Mathematical Biophysics 1 SIAM Journal on Imaging Sciences 1 Kybernetik 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Journal of Computational and Theoretical Transport all top 5 Cited in 27 Fields 34 Biology and other natural sciences (92-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Differential geometry (53-XX) 12 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 3 Partial differential equations (35-XX) 3 Optics, electromagnetic theory (78-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year