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Williams, Robert F.

Author ID: williams.robert-f Recent zbMATH articles by "Williams, Robert F."
Published as: Williams, R. F.; Williams, Robert F.; Williams, R.; Williams, Robert; Williams, Bob
Homepage: https://web.ma.utexas.edu/users/bob/
External Links: MGP
Documents Indexed: 71 Publications since 1954, including 1 Book
1 Further Contribution
Co-Authors: 20 Co-Authors with 25 Joint Publications
701 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

57 Publications have been cited 1,590 times in 1,146 Documents Cited by Year
Structural stability of Lorenz attractors. Zbl 0436.58018
Guckenheimer, John; Williams, R. F.
257
1979
Expanding attractors. Zbl 0279.58013
Williams, R. F.
167
1973
Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038
Birman, Joan S.; Williams, R. F.
136
1983
Classification of subshifts of finite type. Zbl 0282.58008
Williams, R. F.
128
1973
The structure of Lorenz attractors. Zbl 0484.58021
Williams, R. F.
127
1979
One-dimensional non-wandering sets. Zbl 0159.53702
Williams, R. F.
118
1967
Braids and the Jones polynomial. Zbl 0647.57002
Franks, John; Williams, R. F.
92
1987
Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043
Birman, Joan S.; Williams, R. F.
72
1983
Anomalous Anosov flows. Zbl 0463.58021
Franks, John; Williams, Bob
49
1980
Knotted periodic orbits in suspensions of Smale’s horseshoe: torus knots and bifurcation sequences. Zbl 0593.58027
Holmes, Philip; Williams, R. F.
35
1985
Classification of one-dimensional attractors. Zbl 0213.50401
Williams, R. F.
33
1970
Tiling spaces are Cantor set fiber bundles. Zbl 1038.37014
Sadun, Lorenzo; Williams, R. F.
31
2003
A note on unstable homeomorphisms. Zbl 0067.15402
Williams, Robert F.
31
1955
Composition of contractions. Zbl 0335.54026
Williams, R. F.
28
1971
The qualitative analysis of a difference equation of population growth. Zbl 0342.92014
Smale, S.; Williams, R. F.
26
1976
Block coding and a zeta function for finite Markov chains. Zbl 0383.94011
Parry, William; Williams, R. F.
20
1977
The ’DA’ maps of Smale and structural stability. Zbl 0213.50303
Williams, R. F.
20
1970
Entropy and knots. Zbl 0587.58038
Franks, John; Williams, R. F.
19
1985
Lorenz knots are prime. Zbl 0595.58037
Williams, R. F.
14
1984
Classification of expanding attractors: an example. Zbl 0338.58013
Robinson, Clark; Williams, Robert
14
1976
Entropy and stability. Zbl 0329.58010
Shub, Mike; Williams, Robert F.
14
1975
Splitting words and Lorenz braids. Zbl 0783.58041
Tresser, C.; Williams, R. F.
13
1993
A useful functor and three famous examples in topology. Zbl 0113.37803
Williams, R.
10
1963
Finite stability is not generic. Zbl 0305.58009
Robinson, R. Clark; Williams, R. F.
10
1973
The braid index of generalized cables. Zbl 0811.57013
Williams, R. F.
9
1992
The structure of Lorenz attractors. Appendix: Computer pictures of the Lorenz attractor. Zbl 0363.58005
Williams, R. F.; Lanford, Oscar
9
1977
Pure discrete spectrum in substitution tiling spaces. Zbl 1291.37024
Barge, Marcy; Štimac, Sonja; Williams, R. F.
9
2013
Examples of p-adic transformation groups. Zbl 0178.26003
Raymond, F.; Williams, R. F.
9
1963
The Newtonian graph of a complex polynomial. Zbl 0653.58013
Shub, Michael; Tischler, David; Williams, Robert F.
8
1988
\(p\)-adic groups of transformations. Zbl 0109.15901
Bredon, G. E.; Raymond, Frank; Williams, R. F.
8
1961
On the homology of attractors. Zbl 0332.58011
Sullivan, Dennis; Williams, R. F.
8
1976
Strong shift equivalence of matrices in \(GL(2,\mathbb{Z})\). Zbl 0768.58039
Williams, R. F.
6
1992
The universal templates of Ghrist. Zbl 0902.57001
Williams, R. F.
6
1998
Classification of Denjoy continua. Zbl 0983.37013
Barge, Marcy; Williams, R. F.
6
2000
The construction of certain O-dimensional transformation groups. Zbl 0169.25903
Williams, R. F.
6
1967
How big is the intersection of two thick Cantor sets? Zbl 0734.54022
Williams, R. F.
5
1991
Expanding attractors. Zbl 0208.25801
Williams, R. F.
5
1969
Strongly maximal intersection-complete neural codes on grids are convex. Zbl 1427.52003
Williams, Robert
4
2018
Zeta function in global analysis. Zbl 0213.50402
Williams, R. F.
4
1970
The bifurcation space of the Lorenz attractor. Zbl 0472.58016
Williams, R. F.
3
1979
Examples of \(p\)-adic transformation groups. Zbl 0096.17202
Raymond, Frank; Williams, R. F.
3
1960
Classification of subshifts of finite type. Zbl 0267.54038
Williams, R. F.
3
1973
The zeta function of an attractor. Zbl 0179.51902
Williams, R. F.
3
1968
Classification of symbol spaces of finite type. Zbl 0213.50403
Williams, R. F.
3
1971
A new zeta function, natural for links. Zbl 0851.58037
Williams, R. F.
2
1993
Local contractions of compact metric sets which are not local isometries. Zbl 0057.14905
Williams, R. F.
2
1954
The Penrose, Ammann and DA tiling spaces are Cantor set fiber bundles. Zbl 1080.37012
Williams, R. F.
1
2001
The braid index of an algebraic link. Zbl 0673.57003
Williams, R. F.
1
1988
Some problems in applied knot theory, and some problems in geometric topology. Zbl 0677.57001
Sumners, D. W.
1
1988
Attractors, strange and perverse. Zbl 0679.58029
Williams, R. F.
1
1984
Local properties of open mappings. Zbl 0065.38201
Williams, R. F.
1
1955
Cohomology of expanding attractors. Zbl 0341.58011
Williams, R. F.
1
1975
Monte Carlo goodness-of-fit tests for degree corrected and related stochastic blockmodels. Zbl 07878565
Karwa, Vishesh; Pati, Debdeep; Petrović, Sonja; Solus, Liam; Alexeev, Nikita; Raič, Mateja; Wilburne, Dane; Williams, Robert; Yan, Bowei
1
2024
Paul Schweitzer’s solution of the Seifert problem. Zbl 0306.57010
Williams, R. F.
1
1974
The zeta function in global analysis. Zbl 0198.29103
Williams, R. F.
1
1969
The stable homotopy of K(Z, n). Zbl 0178.57203
Mahowald, M. E.; Williams, R. F.
1
1966
Non-compact Lie group actions. Zbl 0193.52501
Williams, R. F.
1
1968
Monte Carlo goodness-of-fit tests for degree corrected and related stochastic blockmodels. Zbl 07878565
Karwa, Vishesh; Pati, Debdeep; Petrović, Sonja; Solus, Liam; Alexeev, Nikita; Raič, Mateja; Wilburne, Dane; Williams, Robert; Yan, Bowei
1
2024
Strongly maximal intersection-complete neural codes on grids are convex. Zbl 1427.52003
Williams, Robert
4
2018
Pure discrete spectrum in substitution tiling spaces. Zbl 1291.37024
Barge, Marcy; Štimac, Sonja; Williams, R. F.
9
2013
Tiling spaces are Cantor set fiber bundles. Zbl 1038.37014
Sadun, Lorenzo; Williams, R. F.
31
2003
The Penrose, Ammann and DA tiling spaces are Cantor set fiber bundles. Zbl 1080.37012
Williams, R. F.
1
2001
Classification of Denjoy continua. Zbl 0983.37013
Barge, Marcy; Williams, R. F.
6
2000
The universal templates of Ghrist. Zbl 0902.57001
Williams, R. F.
6
1998
Splitting words and Lorenz braids. Zbl 0783.58041
Tresser, C.; Williams, R. F.
13
1993
A new zeta function, natural for links. Zbl 0851.58037
Williams, R. F.
2
1993
The braid index of generalized cables. Zbl 0811.57013
Williams, R. F.
9
1992
Strong shift equivalence of matrices in \(GL(2,\mathbb{Z})\). Zbl 0768.58039
Williams, R. F.
6
1992
How big is the intersection of two thick Cantor sets? Zbl 0734.54022
Williams, R. F.
5
1991
The Newtonian graph of a complex polynomial. Zbl 0653.58013
Shub, Michael; Tischler, David; Williams, Robert F.
8
1988
The braid index of an algebraic link. Zbl 0673.57003
Williams, R. F.
1
1988
Some problems in applied knot theory, and some problems in geometric topology. Zbl 0677.57001
Sumners, D. W.
1
1988
Braids and the Jones polynomial. Zbl 0647.57002
Franks, John; Williams, R. F.
92
1987
Knotted periodic orbits in suspensions of Smale’s horseshoe: torus knots and bifurcation sequences. Zbl 0593.58027
Holmes, Philip; Williams, R. F.
35
1985
Entropy and knots. Zbl 0587.58038
Franks, John; Williams, R. F.
19
1985
Lorenz knots are prime. Zbl 0595.58037
Williams, R. F.
14
1984
Attractors, strange and perverse. Zbl 0679.58029
Williams, R. F.
1
1984
Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038
Birman, Joan S.; Williams, R. F.
136
1983
Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043
Birman, Joan S.; Williams, R. F.
72
1983
Anomalous Anosov flows. Zbl 0463.58021
Franks, John; Williams, Bob
49
1980
Structural stability of Lorenz attractors. Zbl 0436.58018
Guckenheimer, John; Williams, R. F.
257
1979
The structure of Lorenz attractors. Zbl 0484.58021
Williams, R. F.
127
1979
The bifurcation space of the Lorenz attractor. Zbl 0472.58016
Williams, R. F.
3
1979
Block coding and a zeta function for finite Markov chains. Zbl 0383.94011
Parry, William; Williams, R. F.
20
1977
The structure of Lorenz attractors. Appendix: Computer pictures of the Lorenz attractor. Zbl 0363.58005
Williams, R. F.; Lanford, Oscar
9
1977
The qualitative analysis of a difference equation of population growth. Zbl 0342.92014
Smale, S.; Williams, R. F.
26
1976
Classification of expanding attractors: an example. Zbl 0338.58013
Robinson, Clark; Williams, Robert
14
1976
On the homology of attractors. Zbl 0332.58011
Sullivan, Dennis; Williams, R. F.
8
1976
Entropy and stability. Zbl 0329.58010
Shub, Mike; Williams, Robert F.
14
1975
Cohomology of expanding attractors. Zbl 0341.58011
Williams, R. F.
1
1975
Paul Schweitzer’s solution of the Seifert problem. Zbl 0306.57010
Williams, R. F.
1
1974
Expanding attractors. Zbl 0279.58013
Williams, R. F.
167
1973
Classification of subshifts of finite type. Zbl 0282.58008
Williams, R. F.
128
1973
Finite stability is not generic. Zbl 0305.58009
Robinson, R. Clark; Williams, R. F.
10
1973
Classification of subshifts of finite type. Zbl 0267.54038
Williams, R. F.
3
1973
Composition of contractions. Zbl 0335.54026
Williams, R. F.
28
1971
Classification of symbol spaces of finite type. Zbl 0213.50403
Williams, R. F.
3
1971
Classification of one-dimensional attractors. Zbl 0213.50401
Williams, R. F.
33
1970
The ’DA’ maps of Smale and structural stability. Zbl 0213.50303
Williams, R. F.
20
1970
Zeta function in global analysis. Zbl 0213.50402
Williams, R. F.
4
1970
Expanding attractors. Zbl 0208.25801
Williams, R. F.
5
1969
The zeta function in global analysis. Zbl 0198.29103
Williams, R. F.
1
1969
The zeta function of an attractor. Zbl 0179.51902
Williams, R. F.
3
1968
Non-compact Lie group actions. Zbl 0193.52501
Williams, R. F.
1
1968
One-dimensional non-wandering sets. Zbl 0159.53702
Williams, R. F.
118
1967
The construction of certain O-dimensional transformation groups. Zbl 0169.25903
Williams, R. F.
6
1967
The stable homotopy of K(Z, n). Zbl 0178.57203
Mahowald, M. E.; Williams, R. F.
1
1966
A useful functor and three famous examples in topology. Zbl 0113.37803
Williams, R.
10
1963
Examples of p-adic transformation groups. Zbl 0178.26003
Raymond, F.; Williams, R. F.
9
1963
\(p\)-adic groups of transformations. Zbl 0109.15901
Bredon, G. E.; Raymond, Frank; Williams, R. F.
8
1961
Examples of \(p\)-adic transformation groups. Zbl 0096.17202
Raymond, Frank; Williams, R. F.
3
1960
A note on unstable homeomorphisms. Zbl 0067.15402
Williams, Robert F.
31
1955
Local properties of open mappings. Zbl 0065.38201
Williams, R. F.
1
1955
Local contractions of compact metric sets which are not local isometries. Zbl 0057.14905
Williams, R. F.
2
1954
all top 5

Cited by 1,176 Authors

31 Morales Rojas, Carlos Arnoldo
17 Zhuzhoma, Evgeniĭ Viktorovich
15 Grines, Vyacheslav Zigmundovich
15 Stoimenow, Alexander
14 Araújo, Vítor
14 Barge, Marcy M.
14 Pacífico, Maria José
13 Turaev, Dmitry V.
13 Williams, Robert F.
12 Letellier, Christophe
12 Medvedev, Vladislav Sergeevich
11 Bonatti, Christian
11 Boyle, Mike
11 Melbourne, Ian
10 Matsumoto, Kengo
10 Pochinka, Ol’ga Vital’evna
10 Sullivan, Michael C.
10 Yang, Dawei
10 Yorke, James Alan
9 Bruin, Henk
9 Clark, Alex
9 Kuznetsov, Sergey P.
8 Barrio, Roberto
8 Boroński, Jan P.
8 Elrifai, Elsayed A.
8 Fenley, Sérgio R.
8 Gonchenko, Sergeĭ Vladimirovich
8 Holmes, Philip J.
8 Kruglov, Vyacheslav Pavlovich
8 Pinto, Alberto Adrego
8 Varandas, Paulo
7 Banks, Stephen Paul
7 Dranishnikov, Alexander Nikolaevich
7 Gambaudo, Jean-Marc
7 Gilmore, Robert
7 Kato, Hisao
7 Kellendonk, Johannes
7 Kim, Ki Hang
7 Kitchens, Bruce P.
7 Krauskopf, Bernd
7 Labarca, Rafael
7 Marcus, Brian H.
7 Oprocha, Piotr
7 Osinga, Hinke Maria
7 Rand, David A.
7 Roush, Fred William
7 Shilnikov, Leonid Pavlovich
7 Wagoner, John B.
7 Yu, Bin
6 Arbieto, Alexander
6 Carrasco-Olivera, Dante
6 Franco, Nuno
6 Franks, John M.
6 Kazakov, Alexey O.
6 Pinsky, Tali
6 Ruelle, David Pierre
6 Tresser, Charles
6 Tuncel, Selim
5 Anušić, Ana
5 Ban, Jungchao
5 Barbot, Thierry
5 Bautista, Serafín
5 Bothe, Hans Günter
5 Brix, Kevin Aguyar
5 Chang, Chih-Hung
5 Charó, Gisela D.
5 Činč, Jernej
5 Deeley, Robin J.
5 Dehornoy, Pierre
5 Diao, Yuanan
5 Ghrist, Robert W.
5 Krieger, Wolfgang
5 Lind, Douglas A.
5 Lukina, Olga
5 Palis, Jacob jun.
5 Pinheiro, Vilton
5 Sadun, Lorenzo A.
5 San Martín Rebolledo, Bernardo
5 Sciamarella, Denisse
5 Serrano, Sergio E.
5 Shi, Enhui
5 Shields, Sandra L.
5 Shilnikov, Andrey L.
5 Tezer, Cem
5 Yi, Inhyeop
4 Avrutin, Viktor
4 Barinova, Marina Konstantinovna
4 Boyland, Philip L.
4 Brandão, Paulo
4 Da Luz, Adriana
4 Eilers, Søren
4 Fried, David
4 Galatolo, Stefano
4 Ghil, Michael
4 Ghys, Étienne
4 Goodman, Sue E.
4 Gouesbet, Gérard
4 Guo, Siyu
4 Hetyei, Gábor
4 Homburg, Ale Jan
...and 1,076 more Authors
all top 5

Cited in 237 Serials

94 Ergodic Theory and Dynamical Systems
83 Topology and its Applications
61 Transactions of the American Mathematical Society
45 Proceedings of the American Mathematical Society
45 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
34 Physica D
29 Chaos
26 Journal of Knot Theory and its Ramifications
21 Communications in Mathematical Physics
21 Journal of Differential Equations
21 Discrete and Continuous Dynamical Systems
19 Nonlinearity
18 Chaos, Solitons and Fractals
16 Journal of Statistical Physics
16 Regular and Chaotic Dynamics
15 Israel Journal of Mathematics
15 Dynamical Systems
14 Advances in Mathematics
14 Bulletin of the American Mathematical Society. New Series
13 Inventiones Mathematicae
13 Algebraic & Geometric Topology
11 Mathematische Zeitschrift
10 Mathematical Notes
10 Publications Mathématiques
10 Bulletin of the Brazilian Mathematical Society. New Series
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Annales de l’Institut Fourier
8 Geometry & Topology
8 Bulletin of the American Mathematical Society
7 Monatshefte für Mathematik
7 Annales Henri Poincaré
6 Physics Letters. A
6 Linear Algebra and its Applications
6 Journal of Dynamics and Differential Equations
6 Acta Mathematica Sinica. English Series
6 Qualitative Theory of Dynamical Systems
5 Bulletin of the Australian Mathematical Society
5 Journal of Mathematical Analysis and Applications
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Rocky Mountain Journal of Mathematics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Applied Mathematics and Computation
5 Acta Applicandae Mathematicae
5 Journal of the American Mathematical Society
5 Journal of Difference Equations and Applications
5 Communications in Nonlinear Science and Numerical Simulation
5 Journal of Dynamical and Control Systems
5 SIAM Journal on Applied Dynamical Systems
4 International Journal of Theoretical Physics
4 Journal of Mathematical Biology
4 Fundamenta Mathematicae
4 Journal of Algebra
4 Memoirs of the American Mathematical Society
4 Japan Journal of Applied Mathematics
4 International Journal of Mathematics
4 Indagationes Mathematicae. New Series
4 Experimental Mathematics
4 Oberwolfach Reports
4 Journal of Modern Dynamics
4 Russian Journal of Nonlinear Dynamics
3 Discrete Mathematics
3 Journal of Mathematical Physics
3 The Mathematical Intelligencer
3 Boletim da Sociedade Brasileira de Matemática
3 Duke Mathematical Journal
3 Geometriae Dedicata
3 Journal of the London Mathematical Society. Second Series
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Annalen
3 Mathematische Nachrichten
3 Michigan Mathematical Journal
3 Pacific Journal of Mathematics
3 Siberian Mathematical Journal
3 Journal of Complexity
3 Journal of Nonlinear Science
3 Journal of Mathematical Sciences (New York)
3 The New York Journal of Mathematics
3 Electronic Research Announcements of the American Mathematical Society
3 Nonlinear Dynamics
3 Journal of the European Mathematical Society (JEMS)
3 Communications in Contemporary Mathematics
3 Lobachevskii Journal of Mathematics
3 Journal of Topology
3 Science China. Mathematics
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Journal of Fluid Mechanics
2 Journal of the Franklin Institute
2 Mathematical Biosciences
2 Russian Mathematical Surveys
2 Journal of Geometry and Physics
2 Bulletin of the London Mathematical Society
2 Fuzzy Sets and Systems
2 Journal of Functional Analysis
2 Journal of Pure and Applied Algebra
2 Journal of Soviet Mathematics
2 Mathematica Scandinavica
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the London Mathematical Society. Third Series
2 Semigroup Forum
2 Theoretical Computer Science
...and 137 more Serials
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Cited in 55 Fields

810 Dynamical systems and ergodic theory (37-XX)
276 Manifolds and cell complexes (57-XX)
159 General topology (54-XX)
90 Ordinary differential equations (34-XX)
71 Measure and integration (28-XX)
46 Functional analysis (46-XX)
39 Group theory and generalizations (20-XX)
35 Algebraic topology (55-XX)
33 Differential geometry (53-XX)
27 Global analysis, analysis on manifolds (58-XX)
27 Biology and other natural sciences (92-XX)
26 Probability theory and stochastic processes (60-XX)
25 Convex and discrete geometry (52-XX)
25 Computer science (68-XX)
24 Combinatorics (05-XX)
23 Fluid mechanics (76-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
20 Partial differential equations (35-XX)
20 Numerical analysis (65-XX)
19 Number theory (11-XX)
17 Mechanics of particles and systems (70-XX)
14 \(K\)-theory (19-XX)
12 History and biography (01-XX)
12 Difference and functional equations (39-XX)
11 Topological groups, Lie groups (22-XX)
10 General and overarching topics; collections (00-XX)
10 Associative rings and algebras (16-XX)
10 Functions of a complex variable (30-XX)
10 Systems theory; control (93-XX)
9 Real functions (26-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Operator theory (47-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Information and communication theory, circuits (94-XX)
7 Mathematical logic and foundations (03-XX)
7 Quantum theory (81-XX)
6 Algebraic geometry (14-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Category theory; homological algebra (18-XX)
4 Geophysics (86-XX)
3 Geometry (51-XX)
2 Commutative algebra (13-XX)
2 Potential theory (31-XX)
2 Optics, electromagnetic theory (78-XX)
2 Operations research, mathematical programming (90-XX)
1 Field theory and polynomials (12-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year