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Author ID: chen.kuo-tsai Recent zbMATH articles by "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.
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

Publications by Year

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 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

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