Edit Profile (opens in new tab) Chen, Kuo-Tsai Co-Author Distance Author ID: chen.kuo-tsai Published as: Chen, Kuo-Tsai; Chen, K.-T.; Chen, K. T.; Chen, Kuo-tsai; Chen, Kuo Tsai; Chen, K-t.; Chen, K. more...less External Links: MacTutor · MGP · Wikidata · GND Documents Indexed: 60 Publications since 1951, including 1 Book Biographic References: 2 Publications Co-Authors: 2 Co-Authors with 2 Joint Publications 27 Co-Co-Authors Co-Authors 57 single-authored 2 Fox, Ralph Hartzler 2 Lyndon, Roger C. 1 Tondeur, Philippe all top 5 Serials 8 Transactions of the American Mathematical Society 8 Bulletin of the American Mathematical Society 7 Annals of Mathematics. Second Series 4 Journal of Algebra 4 Proceedings of the American Mathematical Society 3 American Journal of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Advances in Mathematics 2 Bulletin of the Institute of Mathematics. Academia Sinica 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Revista de la Unión Matemática Argentina 1 Topology 1 Southeast Asian Bulletin of Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Journal of the London Mathematical Society 1 Anais da Academia Brasileira de Ciências 1 Contemporary Mathematicians all top 5 Fields 20 Global analysis, analysis on manifolds (58-XX) 15 Algebraic topology (55-XX) 15 Manifolds and cell complexes (57-XX) 7 Differential geometry (53-XX) 3 Field theory and polynomials (12-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 1,071 times in 832 Documents Cited by ▼ Year ▼ Iterated path integrals. Zbl 0389.58001 Chen, Kuo-Tsai 285 1977 Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula. Zbl 0077.25301 Chen, Kuo-Tsai 101 1957 Iterated integrals of differential forms and loop space homology. Zbl 0227.58003 Chen, Kuo-Tsai 93 1973 Free differential calculus. IV: The quotient groups of the lower central series. Zbl 0142.22304 Chen, K. T.; Fox, R. H.; Lyndon, R. C. 92 1958 Free differential calculus. IV: The quotient groups of the lower central series. Zbl 0083.01403 Chen, K. T.; Fox, R. H.; Lyndon, R. C. 65 1958 Equivalence and decomposition of vector fields about an elementary critical point. Zbl 0119.07505 Chen, K.-T. 64 1963 Iterated integrals and exponential homomorphisms. Zbl 0058.25603 Chen, Kuo-Tsai 49 1954 Integration of paths. A faithful representation of paths by non- commutative formal power series. Zbl 0097.25803 Chen, Kuo-Tsai 49 1959 Algebras of iterated path integrals and fundamental groups. Zbl 0217.47705 Chen, K.-T. 48 1971 Integration in free groups. Zbl 0045.30102 Chen, Kuo-Tsai 34 1951 Extension of \(C^\infty\) function algebra by integrals and Malcev completion of \(\pi_1\). Zbl 0345.58003 Chen, Kuo-Tsai 32 1977 Iterated integrals, fundamental groups and covering spaces. Zbl 0301.58006 Chen, Kuo-Tsai 16 1975 Decomposition of differential equations. Zbl 0166.02802 Chen, K. T. 14 1962 Algebraic paths. Zbl 0204.33803 Chen, K.-T. 13 1968 Formal differential equations. Zbl 0098.05702 Chen, Kuo-Tsai 11 1961 Local diffeomorphisms – \(C^ \infty\) realization of formal properties. Zbl 0151.32001 Chen, K.-T. 10 1965 Isotopy invariants of links. Zbl 0049.40403 Chen, Kuo-Tsai 10 1952 Commutator calculus and link invariants. Zbl 0049.40402 Chen, K. T. 8 1952 Iterated path integrals and generalized paths. Zbl 0179.19601 Chen, K.-T. 7 1967 Expansion of solutions of differential systems. Zbl 0117.04802 Chen, K-t. 6 1963 Reduced bar constructions on deRham complexes. Zbl 0341.57034 Chen, Kuo-Tsai 4 1976 An expansion formula for differential equations. Zbl 0166.08003 Chen, K. T. 4 1962 An algebraic dualization of fundamental groups. Zbl 0182.57101 Chen, Kuo-Tsai 4 1969 Differential forms and homotopy groups. Zbl 0229.58002 Chen, Kuo-Tsai 4 1971 Fundamental groups, nilmanifolds and iterated integrals. Zbl 0271.58001 Chen, Kuo-Tsai 4 1973 On differentiable spaces. Zbl 0593.58004 Chen, Kuo-Tsai 4 1986 Pullback de Rham cohomology of the free path fibration. Zbl 0389.58002 Chen, Kuo-Tsai 4 1978 Algebraization of iterated integration along paths. Zbl 0161.41402 Chen, K.-T. 3 1967 Homotopy of algebras. Zbl 0167.03704 Chen, K.-T. 3 1968 Normal forms of local diffeomorphisms on the real line. Zbl 0179.29005 Chen, K.-T. 3 1968 Covering-space-like algebras. Zbl 0181.32501 Chen, K.-T. 3 1969 Free subalgebras of loop space homology and Massey products. Zbl 0238.55006 Chen, Kuo-Tsai 3 1972 A sufficient condition for nonabelianness of fundamental groups of differentiable manifolds. Zbl 0197.49303 Chen, K.-T. 3 1970 Collected papers of K. -T. Chen. Edited by Philippe Tondeur. Zbl 0977.01042 Chen, K.-T. 2 2001 On the composition functions of nilpotent Lie groups. Zbl 0082.02704 Chen, Kuo-Tsai 2 1958 Exponential isomorphism for vector spaces and its connection with Lie groups. Zbl 0083.02202 Chen, Kuo Tsai 2 1958 On a generalization of Picard’s approximation. Zbl 0148.05803 Chen, Kuo-Tsai 2 1966 Solvability on manifolds by quadratures permitting only integrals. Zbl 0295.58006 Chen, Kuo-Tsai 2 1974 Connections, holonomy and path space homology. Zbl 0312.53010 Chen, Kuo-Tsai 2 1975 Circular bar construction. Zbl 0409.18005 Chen, Kuo-Tsai 2 1979 On the Hopf index theorem and the Hopf invariant. Zbl 0493.57009 Chen, Kuo-Tsai 1 1981 Formal differential equations. Zbl 0108.27506 Chen, Kuo-tsai 1 1962 Decomposition and equivalence of local vector fields. Zbl 0173.35202 Chen, K. T. 1 1963 On the Bezout theorem. Zbl 0594.14001 Chen, Kuo-Tsai 1 1984 Collected papers of K. -T. Chen. Edited by Philippe Tondeur. Zbl 0977.01042 Chen, K.-T. 2 2001 On differentiable spaces. Zbl 0593.58004 Chen, Kuo-Tsai 4 1986 On the Bezout theorem. Zbl 0594.14001 Chen, Kuo-Tsai 1 1984 On the Hopf index theorem and the Hopf invariant. Zbl 0493.57009 Chen, Kuo-Tsai 1 1981 Circular bar construction. Zbl 0409.18005 Chen, Kuo-Tsai 2 1979 Pullback de Rham cohomology of the free path fibration. Zbl 0389.58002 Chen, Kuo-Tsai 4 1978 Iterated path integrals. Zbl 0389.58001 Chen, Kuo-Tsai 285 1977 Extension of \(C^\infty\) function algebra by integrals and Malcev completion of \(\pi_1\). Zbl 0345.58003 Chen, Kuo-Tsai 32 1977 Reduced bar constructions on deRham complexes. Zbl 0341.57034 Chen, Kuo-Tsai 4 1976 Iterated integrals, fundamental groups and covering spaces. Zbl 0301.58006 Chen, Kuo-Tsai 16 1975 Connections, holonomy and path space homology. Zbl 0312.53010 Chen, Kuo-Tsai 2 1975 Solvability on manifolds by quadratures permitting only integrals. Zbl 0295.58006 Chen, Kuo-Tsai 2 1974 Iterated integrals of differential forms and loop space homology. Zbl 0227.58003 Chen, Kuo-Tsai 93 1973 Fundamental groups, nilmanifolds and iterated integrals. Zbl 0271.58001 Chen, Kuo-Tsai 4 1973 Free subalgebras of loop space homology and Massey products. Zbl 0238.55006 Chen, Kuo-Tsai 3 1972 Algebras of iterated path integrals and fundamental groups. Zbl 0217.47705 Chen, K.-T. 48 1971 Differential forms and homotopy groups. Zbl 0229.58002 Chen, Kuo-Tsai 4 1971 A sufficient condition for nonabelianness of fundamental groups of differentiable manifolds. Zbl 0197.49303 Chen, K.-T. 3 1970 An algebraic dualization of fundamental groups. Zbl 0182.57101 Chen, Kuo-Tsai 4 1969 Covering-space-like algebras. Zbl 0181.32501 Chen, K.-T. 3 1969 Algebraic paths. Zbl 0204.33803 Chen, K.-T. 13 1968 Homotopy of algebras. Zbl 0167.03704 Chen, K.-T. 3 1968 Normal forms of local diffeomorphisms on the real line. Zbl 0179.29005 Chen, K.-T. 3 1968 Iterated path integrals and generalized paths. Zbl 0179.19601 Chen, K.-T. 7 1967 Algebraization of iterated integration along paths. Zbl 0161.41402 Chen, K.-T. 3 1967 On a generalization of Picard’s approximation. Zbl 0148.05803 Chen, Kuo-Tsai 2 1966 Local diffeomorphisms – \(C^ \infty\) realization of formal properties. Zbl 0151.32001 Chen, K.-T. 10 1965 Equivalence and decomposition of vector fields about an elementary critical point. Zbl 0119.07505 Chen, K.-T. 64 1963 Expansion of solutions of differential systems. Zbl 0117.04802 Chen, K-t. 6 1963 Decomposition and equivalence of local vector fields. Zbl 0173.35202 Chen, K. T. 1 1963 Decomposition of differential equations. Zbl 0166.02802 Chen, K. T. 14 1962 An expansion formula for differential equations. Zbl 0166.08003 Chen, K. T. 4 1962 Formal differential equations. Zbl 0108.27506 Chen, Kuo-tsai 1 1962 Formal differential equations. Zbl 0098.05702 Chen, Kuo-Tsai 11 1961 Integration of paths. A faithful representation of paths by non- commutative formal power series. Zbl 0097.25803 Chen, Kuo-Tsai 49 1959 Free differential calculus. IV: The quotient groups of the lower central series. Zbl 0142.22304 Chen, K. T.; Fox, R. H.; Lyndon, R. C. 92 1958 Free differential calculus. IV: The quotient groups of the lower central series. Zbl 0083.01403 Chen, K. T.; Fox, R. H.; Lyndon, R. C. 65 1958 On the composition functions of nilpotent Lie groups. Zbl 0082.02704 Chen, Kuo-Tsai 2 1958 Exponential isomorphism for vector spaces and its connection with Lie groups. Zbl 0083.02202 Chen, Kuo Tsai 2 1958 Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula. Zbl 0077.25301 Chen, Kuo-Tsai 101 1957 Iterated integrals and exponential homomorphisms. Zbl 0058.25603 Chen, Kuo-Tsai 49 1954 Isotopy invariants of links. Zbl 0049.40403 Chen, Kuo-Tsai 10 1952 Commutator calculus and link invariants. Zbl 0049.40402 Chen, K. T. 8 1952 Integration in free groups. Zbl 0045.30102 Chen, Kuo-Tsai 34 1951 all cited Publications top 5 cited Publications all top 5 Cited by 947 Authors 25 Chen, Kuo-Tsai 17 Suciu, Alexander I. 16 Duhr, Claude 15 Papadima, Ștefan 13 Daykin, Jacqueline W. 12 Hain, Richard M. 11 Ebrahimi-Fard, Kurusch 10 Guo, Li 10 Smyth, William F. 9 Bannai, Hideo 9 Drummond, James M. 9 Henn, Johannes M. 8 Bokut, Leonid A. 8 Hoang Ngoc Minh, Vincel 8 Inenaga, Shunsuke 8 Lyons, Terence John 8 Nakashima, Yuto 8 Takeda, Masayuki 8 Yang, Jiazhong 7 Boedihardjo, Horatio 7 Chatterjee, Saikat 7 Chen, Yuqun 7 Diehl, Joscha 7 Dixon, Lance J. 7 Friz, Peter 7 Kohno, Toshitake 7 Léandre, Rémi 7 Papathanasiou, Georgios 6 Blümlein, Johannes 6 Geng, Xi 6 McLeod, Andrew J. 6 Patras, Frédéric 6 Satoh, Takao 6 Weinzierl, Stefan 5 Baudoin, Fabrice 5 Bonizzoni, Paola 5 De Felice, Clelia 5 Duchamp, Gerard Henry Edmond 5 Dulat, Falko 5 Hairer, Martin 5 Hazewinkel, Michiel 5 Iglesias-Zemmour, Patrick 5 Lahiri, Amitabha 5 Lejay, Antoine 5 Martins, João Nuno Goncalves Faria 5 Matthes, Nils 5 Sengupta, Ambar N. 5 Tancredi, Lorenzo 5 Tapia, Nikolas 5 Wang, He 5 Zaccagnino, Rocco 5 Zhang, Xiang 5 Zizza, Rosalba 4 Abreu, Samuel 4 Apostolico, Alberto 4 Arias Abad, Camilo 4 Britto, Ruth 4 Brown, Francis C. S. 4 Brudnyi, Alexander 4 Chicherin, Dmitry 4 Daykin, David E. 4 Del Duca, Vittorio 4 Dimca, Alexandru 4 Duval, Jean-Pierre 4 Enjalbert, Jean-Yves 4 Fliess, Michel 4 Foata, Dominique C. 4 Goncharov, Alexander Borisovich 4 I, Tomohiro 4 Li, Weigu 4 Lu, Kening 4 Preiß, Rosa 4 Ren, Zhihua 4 Reutenauer, Christophe 4 Spera, Mauro 4 von Hippel, Matt 4 Wilson, Scott O. 4 Zeinalian, Mahmoud 4 Zhao, Jianqiang 4 Zoia, Simone 3 Aomoto, Kazuhiko 3 Behring, Arnd 3 Bellingeri, Carlo 3 Cass, Thomas Richard 3 Chanane, Bilal 3 Chen, Xiaojun 3 Colmenarejo, Laura 3 Dlapa, Christoph 3 Fermanian, Adeline 3 Furusho, Hidekazu 3 Gardi, Einan 3 Glass, Cheyne J. 3 Han, Guo-Niu 3 Jiang, Xuhang 3 Kälin, Gregor 3 Karshon, Yael 3 Kociumaka, Tomasz 3 Lee, Darrick 3 Levin, Frank 3 Llibre, Jaume ...and 847 more Authors all top 5 Cited in 250 Serials 66 Journal of High Energy Physics 34 Transactions of the American Mathematical Society 25 Journal of Algebra 25 Theoretical Computer Science 23 Advances in Mathematics 16 Journal of Differential Equations 14 Journal of Pure and Applied Algebra 14 Proceedings of the American Mathematical Society 14 Topology and its Applications 11 Journal of Mathematical Physics 11 Journal of Geometry and Physics 10 Discrete Mathematics 10 Inventiones Mathematicae 10 Mathematische Zeitschrift 9 Advances in Applied Mathematics 8 Journal of Mathematical Analysis and Applications 8 Journal of Functional Analysis 8 Journal of Mathematical Sciences (New York) 8 Algebraic & Geometric Topology 8 Bulletin of the American Mathematical Society 7 Communications in Mathematical Physics 7 Duke Mathematical Journal 6 Computer Physics Communications 6 Annales de l’Institut Fourier 6 Journal of Combinatorial Theory. Series A 6 Journal of Number Theory 6 Mathematische Annalen 6 Nagoya Mathematical Journal 6 Acta Applicandae Mathematicae 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Bulletin des Sciences Mathématiques 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Physics A: Mathematical and Theoretical 5 Reviews in Mathematical Physics 5 Journal of Symbolic Computation 5 Differential Geometry and its Applications 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Knot Theory and its Ramifications 5 Selecta Mathematica. New Series 5 Journal of Dynamical and Control Systems 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Physics Letters. B 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Geometriae Dedicata 4 Ergodic Theory and Dynamical Systems 4 Stochastic Processes and their Applications 4 Indagationes Mathematicae. New Series 4 Annals of Mathematics. Second Series 4 International Journal of Geometric Methods in Modern Physics 4 International Journal of Number Theory 4 Journal of Homotopy and Related Structures 3 Communications in Algebra 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Nuclear Physics. B 3 Algebra and Logic 3 Bulletin de la Société Mathématique de France 3 Journal für die Reine und Angewandte Mathematik 3 Mathematics and Computers in Simulation 3 Proceedings of the Japan Academy. Series A 3 Systems & Control Letters 3 Algorithmica 3 Revista Matemática Iberoamericana 3 Electronic Journal of Probability 3 Discrete and Continuous Dynamical Systems 3 Séminaire Lotharingien de Combinatoire 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of Discrete Algorithms 3 Forum of Mathematics, Sigma 3 European Journal of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Information Processing Letters 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Stochastics 2 Ukrainian Mathematical Journal 2 Acta Mathematica Vietnamica 2 Archiv der Mathematik 2 Automatica 2 Functional Analysis and its Applications 2 Journal of Computational and Applied Mathematics 2 Manuscripta Mathematica 2 Mathematical Systems Theory 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 SIAM Journal on Computing 2 European Journal of Combinatorics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 \(K\)-Theory 2 Information and Computation 2 Journal of Theoretical Probability 2 Forum Mathematicum 2 International Journal of Mathematics 2 The Annals of Applied Probability 2 International Journal of Algebra and Computation 2 The Journal of Geometric Analysis 2 Bulletin of the American Mathematical Society. New Series 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Algebraic Combinatorics ...and 150 more Serials all top 5 Cited in 55 Fields 122 Manifolds and cell complexes (57-XX) 121 Quantum theory (81-XX) 106 Algebraic topology (55-XX) 103 Global analysis, analysis on manifolds (58-XX) 94 Computer science (68-XX) 92 Probability theory and stochastic processes (60-XX) 90 Associative rings and algebras (16-XX) 88 Number theory (11-XX) 85 Nonassociative rings and algebras (17-XX) 82 Group theory and generalizations (20-XX) 75 Ordinary differential equations (34-XX) 74 Algebraic geometry (14-XX) 71 Differential geometry (53-XX) 64 Dynamical systems and ergodic theory (37-XX) 56 Combinatorics (05-XX) 46 Category theory; homological algebra (18-XX) 30 Several complex variables and analytic spaces (32-XX) 29 Special functions (33-XX) 27 Systems theory; control (93-XX) 25 Commutative algebra (13-XX) 21 \(K\)-theory (19-XX) 19 Numerical analysis (65-XX) 17 Partial differential equations (35-XX) 17 Mechanics of particles and systems (70-XX) 15 Statistics (62-XX) 15 Relativity and gravitational theory (83-XX) 13 Topological groups, Lie groups (22-XX) 12 Convex and discrete geometry (52-XX) 11 Functional analysis (46-XX) 10 Functions of a complex variable (30-XX) 10 Difference and functional equations (39-XX) 10 Operator theory (47-XX) 8 Field theory and polynomials (12-XX) 8 Approximations and expansions (41-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Mathematical logic and foundations (03-XX) 5 General algebraic systems (08-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Integral equations (45-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Geometry (51-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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