Edit Profile (opens in new tab) Chen, Kuo-Tsai Compute Distance To: Compute 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 42 Publications have been cited 940 times in 724 Documents Cited by ▼ Year ▼ Iterated path integrals. Zbl 0389.58001Chen, Kuo-Tsai 226 1977 Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula. Zbl 0077.25301Chen, Kuo-Tsai 92 1957 Free differential calculus. IV: The quotient groups of the lower central series. Zbl 0142.22304Chen, K. T.; Fox, R. H.; Lyndon, R. C. 87 1958 Iterated integrals of differential forms and loop space homology. Zbl 0227.58003Chen, Kuo-Tsai 83 1973 Equivalence and decomposition of vector fields about an elementary critical point. Zbl 0119.07505Chen, K.-T. 64 1963 Free differential calculus. IV: The quotient groups of the lower central series. Zbl 0083.01403Chen, K. T.; Fox, R. H.; Lyndon, R. C. 58 1958 Iterated integrals and exponential homomorphisms. Zbl 0058.25603Chen, Kuo-Tsai 40 1954 Algebras of iterated path integrals and fundamental groups. Zbl 0217.47705Chen, K.-T. 40 1971 Integration of paths. A faithful representation of paths by non- commutative formal power series. Zbl 0097.25803Chen, Kuo-Tsai 38 1959 Integration in free groups. Zbl 0045.30102Chen, Kuo-Tsai 34 1951 Extension of \(C^\infty\) function algebra by integrals and Malcev completion of \(\pi_1\). Zbl 0345.58003Chen, Kuo-Tsai 30 1977 Decomposition of differential equations. Zbl 0166.02802Chen, K. T. 14 1962 Algebraic paths. Zbl 0204.33803Chen, K.-T. 14 1968 Iterated integrals, fundamental groups and covering spaces. Zbl 0301.58006Chen, Kuo-Tsai 12 1975 Formal differential equations. Zbl 0098.05702Chen, Kuo-Tsai 11 1961 Isotopy invariants of links. Zbl 0049.40403Chen, Kuo-Tsai 10 1952 Local diffeomorphisms – \(C^ \infty\) realization of formal properties. Zbl 0151.32001Chen, K.-T. 10 1965 Commutator calculus and link invariants. Zbl 0049.40402Chen, K. T. 8 1952 Iterated path integrals and generalized paths. Zbl 0179.19601Chen, K.-T. 7 1967 Expansion of solutions of differential systems. Zbl 0117.04802Chen, K-t. 5 1963 Pullback de Rham cohomology of the free path fibration. Zbl 0389.58002Chen, Kuo-Tsai 4 1978 An expansion formula for differential equations. Zbl 0166.08003Chen, K. T. 4 1962 An algebraic dualization of fundamental groups. Zbl 0182.57101Chen, Kuo-Tsai 4 1969 Differential forms and homotopy groups. Zbl 0229.58002Chen, Kuo-Tsai 4 1971 Fundamental groups, nilmanifolds and iterated integrals. Zbl 0271.58001Chen, Kuo-Tsai 4 1973 Reduced bar constructions on deRham complexes. Zbl 0341.57034Chen, Kuo-Tsai 3 1976 Algebraization of iterated integration along paths. Zbl 0161.41402Chen, K.-T. 3 1967 Homotopy of algebras. Zbl 0167.03704Chen, K.-T. 3 1968 Normal forms of local diffeomorphisms on the real line. Zbl 0179.29005Chen, K.-T. 3 1968 Covering-space-like algebras. Zbl 0181.32501Chen, K.-T. 3 1969 A sufficient condition for nonabelianness of fundamental groups of differentiable manifolds. Zbl 0197.49303Chen, K.-T. 3 1970 Free subalgebras of loop space homology and Massey products. Zbl 0238.55006Chen, Kuo-Tsai 3 1972 Collected papers of K. -T. Chen. Edited by Philippe Tondeur. Zbl 0977.01042Chen, K.-T. 2 2001 Circular bar construction. Zbl 0409.18005Chen, Kuo-Tsai 2 1979 Solvability on manifolds by quadratures permitting only integrals. Zbl 0295.58006Chen, Kuo-Tsai 2 1974 On the composition functions of nilpotent Lie groups. Zbl 0082.02704Chen, Kuo-Tsai 2 1958 Exponential isomorphism for vector spaces and its connection with Lie groups. Zbl 0083.02202Chen, Kuo Tsai 2 1958 On a generalization of Picard’s approximation. Zbl 0148.05803Chen, Kuo-Tsai 2 1966 On the Hopf index theorem and the Hopf invariant. Zbl 0493.57009Chen, Kuo-Tsai 1 1981 On differentiable spaces. Zbl 0593.58004Chen, Kuo-Tsai 1 1986 On the Bezout theorem. Zbl 0594.14001Chen, Kuo-Tsai 1 1984 Decomposition and equivalence of local vector fields. Zbl 0173.35202Chen, K. T. 1 1963 Collected papers of K. -T. Chen. Edited by Philippe Tondeur. Zbl 0977.01042Chen, K.-T. 2 2001 On differentiable spaces. Zbl 0593.58004Chen, Kuo-Tsai 1 1986 On the Bezout theorem. Zbl 0594.14001Chen, Kuo-Tsai 1 1984 On the Hopf index theorem and the Hopf invariant. Zbl 0493.57009Chen, Kuo-Tsai 1 1981 Circular bar construction. Zbl 0409.18005Chen, Kuo-Tsai 2 1979 Pullback de Rham cohomology of the free path fibration. Zbl 0389.58002Chen, Kuo-Tsai 4 1978 Iterated path integrals. Zbl 0389.58001Chen, Kuo-Tsai 226 1977 Extension of \(C^\infty\) function algebra by integrals and Malcev completion of \(\pi_1\). Zbl 0345.58003Chen, Kuo-Tsai 30 1977 Reduced bar constructions on deRham complexes. Zbl 0341.57034Chen, Kuo-Tsai 3 1976 Iterated integrals, fundamental groups and covering spaces. Zbl 0301.58006Chen, Kuo-Tsai 12 1975 Solvability on manifolds by quadratures permitting only integrals. Zbl 0295.58006Chen, Kuo-Tsai 2 1974 Iterated integrals of differential forms and loop space homology. Zbl 0227.58003Chen, Kuo-Tsai 83 1973 Fundamental groups, nilmanifolds and iterated integrals. Zbl 0271.58001Chen, Kuo-Tsai 4 1973 Free subalgebras of loop space homology and Massey products. Zbl 0238.55006Chen, Kuo-Tsai 3 1972 Algebras of iterated path integrals and fundamental groups. Zbl 0217.47705Chen, K.-T. 40 1971 Differential forms and homotopy groups. Zbl 0229.58002Chen, Kuo-Tsai 4 1971 A sufficient condition for nonabelianness of fundamental groups of differentiable manifolds. Zbl 0197.49303Chen, K.-T. 3 1970 An algebraic dualization of fundamental groups. Zbl 0182.57101Chen, Kuo-Tsai 4 1969 Covering-space-like algebras. Zbl 0181.32501Chen, K.-T. 3 1969 Algebraic paths. Zbl 0204.33803Chen, K.-T. 14 1968 Homotopy of algebras. Zbl 0167.03704Chen, K.-T. 3 1968 Normal forms of local diffeomorphisms on the real line. Zbl 0179.29005Chen, K.-T. 3 1968 Iterated path integrals and generalized paths. Zbl 0179.19601Chen, K.-T. 7 1967 Algebraization of iterated integration along paths. Zbl 0161.41402Chen, K.-T. 3 1967 On a generalization of Picard’s approximation. Zbl 0148.05803Chen, Kuo-Tsai 2 1966 Local diffeomorphisms – \(C^ \infty\) realization of formal properties. Zbl 0151.32001Chen, K.-T. 10 1965 Equivalence and decomposition of vector fields about an elementary critical point. Zbl 0119.07505Chen, K.-T. 64 1963 Expansion of solutions of differential systems. Zbl 0117.04802Chen, K-t. 5 1963 Decomposition and equivalence of local vector fields. Zbl 0173.35202Chen, K. T. 1 1963 Decomposition of differential equations. Zbl 0166.02802Chen, K. T. 14 1962 An expansion formula for differential equations. Zbl 0166.08003Chen, K. T. 4 1962 Formal differential equations. Zbl 0098.05702Chen, Kuo-Tsai 11 1961 Integration of paths. A faithful representation of paths by non- commutative formal power series. Zbl 0097.25803Chen, Kuo-Tsai 38 1959 Free differential calculus. IV: The quotient groups of the lower central series. Zbl 0142.22304Chen, K. T.; Fox, R. H.; Lyndon, R. C. 87 1958 Free differential calculus. IV: The quotient groups of the lower central series. Zbl 0083.01403Chen, K. T.; Fox, R. H.; Lyndon, R. C. 58 1958 On the composition functions of nilpotent Lie groups. Zbl 0082.02704Chen, Kuo-Tsai 2 1958 Exponential isomorphism for vector spaces and its connection with Lie groups. Zbl 0083.02202Chen, Kuo Tsai 2 1958 Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula. Zbl 0077.25301Chen, Kuo-Tsai 92 1957 Iterated integrals and exponential homomorphisms. Zbl 0058.25603Chen, Kuo-Tsai 40 1954 Isotopy invariants of links. Zbl 0049.40403Chen, Kuo-Tsai 10 1952 Commutator calculus and link invariants. Zbl 0049.40402Chen, K. T. 8 1952 Integration in free groups. Zbl 0045.30102Chen, Kuo-Tsai 34 1951 all cited Publications top 5 cited Publications all top 5 Cited by 813 Authors 25 Chen, Kuo-Tsai 16 Suciu, Alexander I. 15 Papadima, Ștefan 13 Daykin, Jacqueline W. 12 Duhr, Claude 12 Hain, Richard M. 11 Ebrahimi-Fard, Kurusch 10 Smyth, William F. 9 Bannai, Hideo 9 Guo, Li 8 Bokut, Leonid A. 8 Drummond, James M. 8 Hoang Ngoc Minh, Vincel 8 Inenaga, Shunsuke 8 Nakashima, Yuto 8 Takeda, Masayuki 8 Yang, Jiazhong 7 Chen, Yuqun 7 Friz, Peter Karl 7 Kohno, Toshitake 7 Léandre, Rémi 6 Boedihardjo, Horatio 6 Chatterjee, Saikat 6 Henn, Johannes M. 6 Lyons, Terence John 6 Patras, Frédéric 6 Satoh, Takao 5 Diehl, Joscha 5 Dixon, Lance J. 5 Duchamp, Gerard Henry Edmond 5 Dulat, Falko 5 Hazewinkel, Michiel 5 Iglesias-Zemmour, Patrick 5 Martins, João Nuno Goncalves Faria 5 Matthes, Nils 5 McLeod, Andrew J. 5 Papathanasiou, Georgios 5 Wang, He 5 Zhang, Xiang 4 Apostolico, Alberto 4 Baudoin, Fabrice 4 Bonizzoni, Paola 4 Brown, Francis C. S. 4 Brudnyi, Alexander 4 Daykin, David E. 4 De Felice, Clelia 4 Del Duca, Vittorio 4 Dimca, Alexandru 4 Duval, Jean-Pierre 4 Enjalbert, Jean-Yves 4 Fliess, Michel 4 Foata, Dominique C. 4 Geng, Xi 4 Goncharov, Alexander Borisovich 4 Hairer, Martin 4 I, Tomohiro 4 Lahiri, Amitabha 4 Lejay, Antoine 4 Li, Weigu 4 Lu, Kening 4 Ren, Zhihua 4 Reutenauer, Christophe 4 Sengupta, Ambar N. 4 Spera, Mauro 4 Tapia, Nikolas 4 Wilson, Scott O. 4 Zaccagnino, Rocco 4 Zhao, Jianqiang 4 Zizza, Rosalba 3 Aomoto, Kazuhiko 3 Arias Abad, Camilo 3 Caron-Huot, Simon 3 Chanane, Bilal 3 Chen, Xiaojun 3 Colmenarejo, Laura 3 Fermanian, Adeline 3 Han, Guo-Niu 3 Kociumaka, Tomasz 3 Levin, Frank S. 3 Llibre, Jaume 3 Malham, Simon J. A. 3 Naudot, Vincent 3 Nguyen Tien Zung 3 Panzer, Erik 3 Pennington, Jeffrey S. 3 Pietrzkowski, Gabriel 3 Pin, Jean-Eric 3 Qian, Zhongmin M. 3 Reich, Ludwig 3 Reyes, Gonzalo E. 3 Schätz, Florian 3 Shpilrain, Vladimir 3 Spradlin, Marcus 3 Tollu, Christophe 3 Traldi, Lorenzo 3 Volovich, Anastasia 3 von Hippel, Matt 3 Wada, Kodai 3 Walcher, Sebastian 3 Wu, Hao ...and 713 more Authors all top 5 Cited in 230 Serials 39 Journal of High Energy Physics 33 Transactions of the American Mathematical Society 25 Theoretical Computer Science 23 Journal of Algebra 22 Advances in Mathematics 16 Journal of Differential Equations 14 Journal of Pure and Applied Algebra 14 Topology and its Applications 13 Proceedings of the American Mathematical Society 11 Journal of Mathematical Physics 11 Journal of Geometry and Physics 10 Discrete Mathematics 10 Inventiones Mathematicae 10 Mathematische Zeitschrift 8 Advances in Applied Mathematics 8 Journal of Mathematical Sciences (New York) 8 Algebraic & Geometric Topology 8 Bulletin of the American Mathematical Society 7 Journal of Mathematical Analysis and Applications 7 Duke Mathematical Journal 7 Journal of Functional Analysis 6 Communications in Mathematical Physics 6 Annales de l’Institut Fourier 6 Journal of Combinatorial Theory. Series A 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 5 Reviews in Mathematical Physics 5 Journal of Number Theory 5 Journal of Symbolic Computation 5 Differential Geometry and its Applications 5 Journal of Knot Theory and its Ramifications 5 Selecta Mathematica. New Series 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 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 Journal of Dynamical and Control Systems 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Geometric Methods in Modern Physics 4 Journal of Homotopy and Related Structures 3 Communications in Algebra 3 Mathematical Proceedings of the Cambridge Philosophical Society 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 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Discrete and Continuous Dynamical Systems 3 Journal of Discrete Algorithms 3 International Journal of Number Theory 3 Forum of Mathematics, Sigma 3 European Journal of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Computer Physics Communications 2 Information Processing Letters 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Physics Letters. B 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 European Journal of Combinatorics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Algorithmica 2 \(K\)-Theory 2 Revista Matemática Iberoamericana 2 Journal of Theoretical Probability 2 Forum Mathematicum 2 International Journal of Mathematics 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 2 Journal de Théorie des Nombres de Bordeaux 2 Annales Mathématiques Blaise Pascal 2 The Electronic Journal of Combinatorics 2 Documenta Mathematica 2 Séminaire Lotharingien de Combinatoire 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 Regular and Chaotic Dynamics ...and 130 more Serials all top 5 Cited in 54 Fields 116 Manifolds and cell complexes (57-XX) 94 Algebraic topology (55-XX) 91 Global analysis, analysis on manifolds (58-XX) 85 Associative rings and algebras (16-XX) 83 Computer science (68-XX) 80 Nonassociative rings and algebras (17-XX) 79 Group theory and generalizations (20-XX) 78 Quantum theory (81-XX) 75 Probability theory and stochastic processes (60-XX) 71 Ordinary differential equations (34-XX) 68 Number theory (11-XX) 65 Algebraic geometry (14-XX) 62 Differential geometry (53-XX) 61 Dynamical systems and ergodic theory (37-XX) 51 Combinatorics (05-XX) 46 Category theory; homological algebra (18-XX) 29 Several complex variables and analytic spaces (32-XX) 24 Systems theory; control (93-XX) 23 Commutative algebra (13-XX) 21 Special functions (33-XX) 19 \(K\)-theory (19-XX) 15 Numerical analysis (65-XX) 14 Mechanics of particles and systems (70-XX) 12 Topological groups, Lie groups (22-XX) 12 Partial differential equations (35-XX) 12 Statistics (62-XX) 12 Relativity and gravitational theory (83-XX) 10 Functions of a complex variable (30-XX) 10 Difference and functional equations (39-XX) 8 Field theory and polynomials (12-XX) 8 Functional analysis (46-XX) 8 Operator theory (47-XX) 7 Convex and discrete geometry (52-XX) 6 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) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-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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