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Millett, Kenneth C.

Author ID: millett.kenneth-c Recent zbMATH articles by "Millett, Kenneth C."
Published as: Millett, Kenneth C.; Millett, K. C.; Millett, Kenneth; Millett, K.; Millett, Kenneth C; Millett, Ken
Homepage: http://www.math.ucsb.edu/~millett/
External Links: MGP · Wikidata · GND · IdRef

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 977 times in 705 Documents Cited by Year
A new polynomial invariant of knots and links. Zbl 0572.57002
Freyd, P.; Yetter, D.; Hoste, J.; Lickorish, W. B. R.; Millett, K.; Ocneanu, A.
420
1985
A polynomial invariant of oriented links. Zbl 0608.57009
Lickorish, W. B. R.; Millett, Kenneth C.
157
1987
A polynomial invariant for unoriented knots and links. Zbl 0595.57009
Brandt, Robert D.; Lickorish, W. B. R.; Millett, Kenneth C.
74
1986
Some evaluations of link polynomials. Zbl 0607.57003
Lickorish, W. B. R.; Millett, K. C.
46
1986
Foliations with all leaves compact. Zbl 0356.57022
Edwards, Robert; Millett, Kenneth; Sullivan, Dennis
44
1977
Leaves without holonomy. Zbl 0381.57007
Epstein, D. B. A.; Millett, K. C.; Tischler, D.
34
1977
Knotting of regular polygons in 3-space. Zbl 0838.57008
Millett, Kenneth C.
17
1994
The new polynomial invariants of knots and links. Zbl 0651.57004
Lickorish, W. B. R.; Millett, K. C.
16
1988
Energy, ropelength, and other physical aspects of equilateral knots. Zbl 1072.74533
Millett, Kenneth C.; Rawdon, Eric J.
15
2003
Computational algorithms and the complexity of link polynomials. Zbl 0930.57007
Ewing, Bruce; Millett, Kenneth C.
12
1997
The reversing result for the Jones polynomial. Zbl 0553.57001
Lickorish, W. B. R.; Millett, K. C.
12
1986
Scaling behavior of random knots. Zbl 1063.82013
Dobay, Akos; Dubochet, Jacques; Millett, Kenneth; Sottas, Pierre-Edouard; Stasiak, Andrzej
11
2003
The linking number and the writhe of uniform random walks and polygons in confined spaces. Zbl 1187.82052
Panagiotou, E.; Millett, K. C.; Lambropoulou, S.
11
2010
Monte Carlo explorations of polygonal knot spaces. Zbl 0970.57007
Millett, Kenneth C.
10
2000
The average crossing number of equilateral random polygons. Zbl 1052.57006
Diao, Y.; Dobay, A.; Kusner, R. B.; Millett, K.; Stasiak, A.
8
2003
Minimal edge piecewise linear knots. Zbl 0946.57008
Calvo, J. A.; Millett, K. C.
7
1998
Polygonal knot space near ropelength-minimized knots. Zbl 1152.57005
Millett, Kenneth C.; Piatek, Michael; Rawdon, Eric J.
7
2008
Generic smooth maps of surfaces. Zbl 0554.57018
Millett, Kenneth C.
7
1984
The generation of random equilateral polygons. Zbl 1222.82069
Alvarado, Sotero; Calvo, Jorge Alberto; Millett, Kenneth C.
7
2011
Tying down open knots: a statistical method for identifying open knots with applications to proteins. Zbl 1092.92020
Millett, Kenneth C.; Sheldon, Benjamin M.
6
2005
Algebraic and geometric topology. Proceedings of a symposium held at Santa Barbara in honor of Raymond L. Wilder, July 25–29, 1977. Zbl 0374.00010
4
1978
Physical knot theory: an introduction to the study of the influence of knotting on the spatial characteristics of polymers. Zbl 1261.57008
Millett, Kenneth C.
4
2012
Knots, slipknots, and ephemeral knots in random walks and equilateral polygons. Zbl 1191.57009
Millett, Kenneth C.
4
2010
Isotopy invariants of graphs. Zbl 0753.57005
Jonish, D.; Millett, K. C.
3
1991
Characteristics of shape and knotting in ideal rings. Zbl 1259.82147
Zirbel, Laura; Millett, Kenneth C.
3
2012
An evaluation of the F-polynomial of a link. Zbl 0655.57004
Lickorish, W. B. R.; Millett, K. C.
3
1988
Generic properties of proper foliations. Zbl 0674.57021
Millett, Kenneth C.
3
1987
Knots in knots: A study of classical knot diagrams. Zbl 1352.57014
Millett, Kenneth C.
3
2016
Physical and numerical models in knot theory. Including applications to the life sciences. Zbl 1085.57002
3
2005
Compact foliations. Zbl 0313.57018
Millett, Kenneth C.
3
1975
Piecewise linear embeddings of manifolds. Zbl 0339.57005
Millett, Kenneth C.
2
1975
A load balanced algorithm for the calculation of the polynomial knot and link invariants. Zbl 0789.57002
Ewing, Bruce; Millett, Kenneth C.
2
1991
Random knotting and linking. Papers presented at the AMS special session, Vancouver, Canada, August 15-19, 1993. Zbl 0838.00016
2
1994
Universal characteristics of polygonal knot probabilities. Zbl 1101.82010
Millett, Kenneth C.; Rawdon, Eric J.
2
2005
Piecewise linear concordances and isotopies. Zbl 0295.57004
Millett, Kenneth C.
2
1974
Homotopy normal bundles for locally flat immersions and embeddings of topological manifolds. Zbl 0175.20202
Millett, K. C.
2
1969
Normal structures for locally flat embeddings. Zbl 0176.21701
Millett, K. C.
2
1969
An investigation of equilateral knot spaces and ideal physical knot configurations. Zbl 1013.57008
Millett, Kenneth C.
1
2002
Extrinsic topological chirality indices of molecular graphs. Zbl 0668.57008
Jonish, David P.; Millett, Kenneth C.
1
1987
Resolving critical degrees of entanglement in Olympic ring systems. Zbl 1364.57007
Igram, Spencer; Millett, Kenneth C.; Panagiotou, Eleni
1
2016
Homotopy sequences of fibrations. Zbl 0257.55013
Millett, Kenneth C.
1
1973
Piecewise linear bundles in the metastable range. Zbl 0314.55021
Millett, Kenneth C.
1
1976
Physical knots: knotting, linking, and folding geometric objects in \(\mathbb R^3\). Proceedings of the AMS special session on physical knotting and unknotting, Las Vegas, NV, USA, April 21–22, 2001. Zbl 1003.00020
1
2002
Nonsingular sections to Euclidean bundles. Zbl 0188.28601
Millett, K. C.
1
1969
Linking matrices in systems with periodic boundary conditions. Zbl 1397.82063
Panagiotou, Eleni; Millett, Kenneth C
1
2018
More knots in knots: a study of classical knot diagrams. Zbl 1377.57013
Millett, Kenneth C.; Rich, Alex
1
2017
Linking matrices in systems with periodic boundary conditions. Zbl 1397.82063
Panagiotou, Eleni; Millett, Kenneth C
1
2018
More knots in knots: a study of classical knot diagrams. Zbl 1377.57013
Millett, Kenneth C.; Rich, Alex
1
2017
Knots in knots: A study of classical knot diagrams. Zbl 1352.57014
Millett, Kenneth C.
3
2016
Resolving critical degrees of entanglement in Olympic ring systems. Zbl 1364.57007
Igram, Spencer; Millett, Kenneth C.; Panagiotou, Eleni
1
2016
Physical knot theory: an introduction to the study of the influence of knotting on the spatial characteristics of polymers. Zbl 1261.57008
Millett, Kenneth C.
4
2012
Characteristics of shape and knotting in ideal rings. Zbl 1259.82147
Zirbel, Laura; Millett, Kenneth C.
3
2012
The generation of random equilateral polygons. Zbl 1222.82069
Alvarado, Sotero; Calvo, Jorge Alberto; Millett, Kenneth C.
7
2011
The linking number and the writhe of uniform random walks and polygons in confined spaces. Zbl 1187.82052
Panagiotou, E.; Millett, K. C.; Lambropoulou, S.
11
2010
Knots, slipknots, and ephemeral knots in random walks and equilateral polygons. Zbl 1191.57009
Millett, Kenneth C.
4
2010
Polygonal knot space near ropelength-minimized knots. Zbl 1152.57005
Millett, Kenneth C.; Piatek, Michael; Rawdon, Eric J.
7
2008
Tying down open knots: a statistical method for identifying open knots with applications to proteins. Zbl 1092.92020
Millett, Kenneth C.; Sheldon, Benjamin M.
6
2005
Physical and numerical models in knot theory. Including applications to the life sciences. Zbl 1085.57002
3
2005
Universal characteristics of polygonal knot probabilities. Zbl 1101.82010
Millett, Kenneth C.; Rawdon, Eric J.
2
2005
Energy, ropelength, and other physical aspects of equilateral knots. Zbl 1072.74533
Millett, Kenneth C.; Rawdon, Eric J.
15
2003
Scaling behavior of random knots. Zbl 1063.82013
Dobay, Akos; Dubochet, Jacques; Millett, Kenneth; Sottas, Pierre-Edouard; Stasiak, Andrzej
11
2003
The average crossing number of equilateral random polygons. Zbl 1052.57006
Diao, Y.; Dobay, A.; Kusner, R. B.; Millett, K.; Stasiak, A.
8
2003
An investigation of equilateral knot spaces and ideal physical knot configurations. Zbl 1013.57008
Millett, Kenneth C.
1
2002
Physical knots: knotting, linking, and folding geometric objects in \(\mathbb R^3\). Proceedings of the AMS special session on physical knotting and unknotting, Las Vegas, NV, USA, April 21–22, 2001. Zbl 1003.00020
1
2002
Monte Carlo explorations of polygonal knot spaces. Zbl 0970.57007
Millett, Kenneth C.
10
2000
Minimal edge piecewise linear knots. Zbl 0946.57008
Calvo, J. A.; Millett, K. C.
7
1998
Computational algorithms and the complexity of link polynomials. Zbl 0930.57007
Ewing, Bruce; Millett, Kenneth C.
12
1997
Knotting of regular polygons in 3-space. Zbl 0838.57008
Millett, Kenneth C.
17
1994
Random knotting and linking. Papers presented at the AMS special session, Vancouver, Canada, August 15-19, 1993. Zbl 0838.00016
2
1994
Isotopy invariants of graphs. Zbl 0753.57005
Jonish, D.; Millett, K. C.
3
1991
A load balanced algorithm for the calculation of the polynomial knot and link invariants. Zbl 0789.57002
Ewing, Bruce; Millett, Kenneth C.
2
1991
The new polynomial invariants of knots and links. Zbl 0651.57004
Lickorish, W. B. R.; Millett, K. C.
16
1988
An evaluation of the F-polynomial of a link. Zbl 0655.57004
Lickorish, W. B. R.; Millett, K. C.
3
1988
A polynomial invariant of oriented links. Zbl 0608.57009
Lickorish, W. B. R.; Millett, Kenneth C.
157
1987
Generic properties of proper foliations. Zbl 0674.57021
Millett, Kenneth C.
3
1987
Extrinsic topological chirality indices of molecular graphs. Zbl 0668.57008
Jonish, David P.; Millett, Kenneth C.
1
1987
A polynomial invariant for unoriented knots and links. Zbl 0595.57009
Brandt, Robert D.; Lickorish, W. B. R.; Millett, Kenneth C.
74
1986
Some evaluations of link polynomials. Zbl 0607.57003
Lickorish, W. B. R.; Millett, K. C.
46
1986
The reversing result for the Jones polynomial. Zbl 0553.57001
Lickorish, W. B. R.; Millett, K. C.
12
1986
A new polynomial invariant of knots and links. Zbl 0572.57002
Freyd, P.; Yetter, D.; Hoste, J.; Lickorish, W. B. R.; Millett, K.; Ocneanu, A.
420
1985
Generic smooth maps of surfaces. Zbl 0554.57018
Millett, Kenneth C.
7
1984
Algebraic and geometric topology. Proceedings of a symposium held at Santa Barbara in honor of Raymond L. Wilder, July 25–29, 1977. Zbl 0374.00010
4
1978
Foliations with all leaves compact. Zbl 0356.57022
Edwards, Robert; Millett, Kenneth; Sullivan, Dennis
44
1977
Leaves without holonomy. Zbl 0381.57007
Epstein, D. B. A.; Millett, K. C.; Tischler, D.
34
1977
Piecewise linear bundles in the metastable range. Zbl 0314.55021
Millett, Kenneth C.
1
1976
Compact foliations. Zbl 0313.57018
Millett, Kenneth C.
3
1975
Piecewise linear embeddings of manifolds. Zbl 0339.57005
Millett, Kenneth C.
2
1975
Piecewise linear concordances and isotopies. Zbl 0295.57004
Millett, Kenneth C.
2
1974
Homotopy sequences of fibrations. Zbl 0257.55013
Millett, Kenneth C.
1
1973
Homotopy normal bundles for locally flat immersions and embeddings of topological manifolds. Zbl 0175.20202
Millett, K. C.
2
1969
Normal structures for locally flat embeddings. Zbl 0176.21701
Millett, K. C.
2
1969
Nonsingular sections to Euclidean bundles. Zbl 0188.28601
Millett, K. C.
1
1969
all top 5

Cited by 725 Authors

29 Stoimenow, Alexander
24 Morozov, Alexei Yurievich
18 Kanenobu, Taizo
17 Mironov, Andrei D.
15 Przytycki, Józef Henryk
14 Kauffman, Louis Hirsch
14 Morozov, Andreĭ Alekseevich
13 Millett, Kenneth C.
11 Hurder, Steven E.
11 Rawdon, Eric J.
10 Takioka, Hideo
9 Diao, Yuanan
9 Ramadevi, Pichai
9 Tao, Zhixiong
8 Ernst, Claus
8 Jin, Xian’an
8 Miyazawa, Yasuyuki
8 Panagiotou, Eleni
7 Birman, Joan S.
7 Jaeger, François
7 Kucharski, Piotr
7 Labastida, José M. F.
7 Lukina, Olga
6 Altintas, Ismet
6 Chbili, Nafaa
6 Vogt, Elmar
5 Cantarella, Jason H.
5 Ekholm, Tobias
5 Gukov, Sergei
5 Ishii, Atsushi
5 Jeong, Myeong-Ju
5 Lambropoulou, Sofia S. F.
5 Lickorish, William Bernard Raymond
5 Orlandini, Enzo
5 Pérez, Esther
5 Shimizu, Ayaka
5 Shonkwiler, Clayton
5 Singh, Vivek Kumar
5 Sułkowski, Piotr
5 Traczyk, Paweł
4 Chen, Qingtao
4 Deguchi, Tetsuo
4 Gould, Mark D.
4 Goundaroulis, Dimos
4 Hetyei, Gábor
4 Hoste, Jim
4 Jones, Vaughan Frederick Randal
4 Kidwell, Mark Elliot
4 Links, Jon Robert
4 Moore, Allison H.
4 Turaev, Vladimir Georgievich
4 Wenzl, Hans
4 Wolak, Robert A.
4 Yang, Zhiqing
4 Zhu, Shengmao
4 Zhukova, Nina Ivanovna
4 Ziegler, Uta
3 Adams, Colin C.
3 Álvarez López, Jesús Antonio
3 Brandenbursky, Michael
3 Calvo, Jorge Alberto
3 Chan, Tat-Hung
3 Cheng, Xiaosheng
3 Cotta-Ramusino, Paolo
3 Hsieh, Chun-Chung
3 Itoyama, Hiroshi
3 Kaiser, Uwe
3 Kawauchi, Akio
3 Khovanov, Mikhail G.
3 Kishimoto, Kengo
3 Lin, Xiao-Song
3 Liu, Pengyu
3 Liu, Shuya
3 Longhi, Pietro
3 Mariño, Marcos
3 Mishra, Rama
3 Moriuchi, Hiromasa
3 Morozov, Al’bert Dmitrievich
3 Mroczkowski, Maciej
3 Murakami, Jun
3 Murasugi, Kunio
3 Nakagane, Keita
3 Park, Chan-Young
3 Patureau-Mirand, Bertrand
3 Ruberman, Daniel
3 Simon, Jonathan K.
3 Stasiak, Andrzej
3 Taşköprü, Kemal
3 Traldi, Lorenzo
3 Vazquez, Mariel
3 Wagner, Emmanuel
3 Whittington, Stuart G.
3 Yokota, Yoshiyuki
3 Yokoyama, Tomoo
3 Zhang, Fuji
3 Zhang, Ruibin
2 Abe, Tetsuya
2 Aicardi, Francesca
2 Akutsu, Yasuhiro
2 Arsuaga, Javier
...and 625 more Authors
all top 5

Cited in 176 Serials

125 Journal of Knot Theory and its Ramifications
55 Topology and its Applications
23 Communications in Mathematical Physics
23 Journal of High Energy Physics
21 Proceedings of the American Mathematical Society
20 Transactions of the American Mathematical Society
18 Mathematical Proceedings of the Cambridge Philosophical Society
15 Inventiones Mathematicae
14 Nuclear Physics. B
14 Journal of Physics A: Mathematical and Theoretical
13 Journal of Mathematical Physics
13 Algebraic & Geometric Topology
9 Letters in Mathematical Physics
9 Experimental Mathematics
8 Annales de l’Institut Fourier
8 Geometry & Topology
7 Manuscripta Mathematica
7 Ergodic Theory and Dynamical Systems
7 Journal of Mathematical Sciences (New York)
7 Journal of Mathematical Chemistry
6 Chaos, Solitons and Fractals
6 Journal of Pure and Applied Algebra
5 International Journal of Modern Physics A
5 Discrete Mathematics
5 Theoretical and Mathematical Physics
5 Journal of Geometry and Physics
5 Advances in Mathematics
5 Mathematische Annalen
4 Journal of Computational Physics
4 Applied Mathematics and Computation
4 Mathematische Zeitschrift
4 Osaka Journal of Mathematics
4 Pacific Journal of Mathematics
4 Proceedings of the Japan Academy. Series A
4 Bulletin of the American Mathematical Society. New Series
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Discrete Applied Mathematics
3 Journal of Mathematical Biology
3 Journal of Statistical Physics
3 Duke Mathematical Journal
3 Geometriae Dedicata
3 Journal of Combinatorial Theory. Series B
3 Journal of Soviet Mathematics
3 Tôhoku Mathematical Journal. Second Series
3 International Journal of Mathematics
3 Computational Geometry
3 Selecta Mathematica. New Series
3 Acta Mathematica Sinica. English Series
3 Computational and Mathematical Biophysics
2 Mathematical Notes
2 Reviews of Modern Physics
2 Rocky Mountain Journal of Mathematics
2 Mathematics of Computation
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin of the London Mathematical Society
2 Publications Mathématiques
2 Journal für die Reine und Angewandte Mathematik
2 Michigan Mathematical Journal
2 European Journal of Combinatorics
2 Physica D
2 SIAM Journal on Discrete Mathematics
2 Annals of Physics
2 Discrete and Continuous Dynamical Systems
2 Communications in Contemporary Mathematics
2 Qualitative Theory of Dynamical Systems
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Quantum Information
2 Journal of Statistical Mechanics: Theory and Experiment
2 Oberwolfach Reports
2 Bulletin of the American Mathematical Society
2 Journal of Topology
2 Involve
2 Quantum Topology
2 Symmetry
2 Molecular Based Mathematical Biology
2 Open Mathematics
2 Winter Braids Lecture Notes
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Communications on Pure and Applied Mathematics
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
1 Journal of Fluid Mechanics
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Physics Letters. A
1 Physics Letters. B
1 Physics Reports
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Reviews in Mathematical Physics
1 The Mathematical Intelligencer
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Archiv der Mathematik
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Functional Analysis and its Applications
1 Fundamenta Mathematicae
1 Glasgow Mathematical Journal
...and 76 more Serials
all top 5

Cited in 48 Fields

578 Manifolds and cell complexes (57-XX)
112 Quantum theory (81-XX)
61 Group theory and generalizations (20-XX)
57 Combinatorics (05-XX)
45 Differential geometry (53-XX)
39 Nonassociative rings and algebras (17-XX)
38 Global analysis, analysis on manifolds (58-XX)
36 Dynamical systems and ergodic theory (37-XX)
34 Biology and other natural sciences (92-XX)
31 Statistical mechanics, structure of matter (82-XX)
23 Algebraic geometry (14-XX)
20 Associative rings and algebras (16-XX)
19 Category theory; homological algebra (18-XX)
17 Several complex variables and analytic spaces (32-XX)
17 Probability theory and stochastic processes (60-XX)
16 Algebraic topology (55-XX)
11 Topological groups, Lie groups (22-XX)
11 Computer science (68-XX)
10 Functional analysis (46-XX)
10 Convex and discrete geometry (52-XX)
9 History and biography (01-XX)
8 Relativity and gravitational theory (83-XX)
7 Number theory (11-XX)
7 General topology (54-XX)
7 Numerical analysis (65-XX)
6 General and overarching topics; collections (00-XX)
6 Commutative algebra (13-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Measure and integration (28-XX)
4 Mechanics of deformable solids (74-XX)
3 Mechanics of particles and systems (70-XX)
2 Mathematical logic and foundations (03-XX)
2 General algebraic systems (08-XX)
2 Field theory and polynomials (12-XX)
2 Special functions (33-XX)
2 Geometry (51-XX)
2 Statistics (62-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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