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Williams, Robert F.

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Author ID: williams.robert-f Recent zbMATH articles by "Williams, Robert F."
Published as: Williams, R. F.; Williams, Robert F.; Williams, Robert; Williams, R.
Homepage: http://www.ma.utexas.edu/users/bob/
External Links: MGP
Documents Indexed: 69 Publications since 1954, including 1 Book

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 1,210 times in 891 Documents Cited by Year
Structural stability of Lorenz attractors. Zbl 0436.58018
Guckenheimer, John; Williams, R. F.
205
1979
Expanding attractors. Zbl 0279.58013
Williams, R. F.
128
1973
Classification of subshifts of finite type. Zbl 0282.58008
Williams, R. F.
110
1973
Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038
Birman, Joan S.; Williams, R. F.
109
1983
The structure of Lorenz attractors. Zbl 0484.58021
Williams, R. F.
97
1979
One-dimensional non-wandering sets. Zbl 0159.53702
Williams, R. F.
97
1967
Braids and the Jones polynomial. Zbl 0647.57002
Franks, John; Williams, R. F.
66
1987
Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043
Birman, Joan S.; Williams, R. F.
61
1983
Tiling spaces are Cantor set fiber bundles. Zbl 1038.37014
Sadun, Lorenzo; Williams, R. F.
27
2003
Composition of contractions. Zbl 0335.54026
Williams, R. F.
26
1971
Knotted periodic orbits in suspensions of Smale’s horseshoe: torus knots and bifurcation sequences. Zbl 0593.58027
Holmes, Philip; Williams, R. F.
26
1985
A note on unstable homeomorphisms. Zbl 0067.15402
Williams, Robert F.
24
1955
Block coding and a zeta function for finite Markov chains. Zbl 0383.94011
Parry, William; Williams, R. F.
20
1977
The qualitative analysis of a difference equation of population growth. Zbl 0342.92014
Smale, S.; Williams, R. F.
18
1976
Entropy and knots. Zbl 0587.58038
Franks, John; Williams, R. F.
18
1985
Classification of one-dimensional attractors. Zbl 0213.50401
Williams, R. F.
16
1970
Entropy and stability. Zbl 0329.58010
Shub, Mike; Williams, Robert F.
12
1975
Splitting words and Lorenz braids. Zbl 0783.58041
Tresser, C.; Williams, R. F.
12
1993
Classification of expanding attractors: an example. Zbl 0338.58013
Robinson, Clark; Williams, Robert
11
1976
Lorenz knots are prime. Zbl 0595.58037
Williams, R. F.
11
1984
Pure discrete spectrum in substitution tiling spaces. Zbl 1291.37024
Barge, Marcy; Štimac, Sonja; Williams, R. F.
9
2013
\(p\)-adic groups of transformations. Zbl 0109.15901
Bredon, G. E.; Raymond, Frank; Williams, R. F.
8
1961
A useful functor and three famous examples in topology. Zbl 0113.37803
Williams, R.
8
1963
Examples of p-adic transformation groups. Zbl 0178.26003
Raymond, F.; Williams, R. F.
8
1963
The Newtonian graph of a complex polynomial. Zbl 0653.58013
Shub, Michael; Tischler, David; Williams, Robert F.
7
1988
On the homology of attractors. Zbl 0332.58011
Sullivan, Dennis; Williams, R. F.
6
1976
Classification of Denjoy continua. Zbl 0983.37013
Barge, Marcy; Williams, R. F.
6
2000
The braid index of generalized cables. Zbl 0811.57013
Williams, R. F.
6
1992
The construction of certain O-dimensional transformation groups. Zbl 0169.25903
Williams, R. F.
6
1967
The ’DA’ maps of Smale and structural stability. Zbl 0213.50303
Williams, R. F.
6
1970
Strong shift equivalence of matrices in \(GL(2,\mathbb{Z})\). Zbl 0768.58039
Williams, R. F.
5
1992
The structure of Lorenz attractors. Appendix: Computer pictures of the Lorenz attractor. Zbl 0363.58005
Williams, R. F.; Lanford, Oscar
4
1977
The universal templates of Ghrist. Zbl 0902.57001
Williams, R. F.
4
1998
Expanding attractors. Zbl 0208.25801
Williams, R. F.
4
1969
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
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
Examples of \(p\)-adic transformation groups. Zbl 0096.17202
Raymond, Frank; Williams, R. F.
2
1960
The zeta function of an attractor. Zbl 0179.51902
Williams, R. F.
2
1968
Finite stability is not generic. Zbl 0305.58009
Robinson, R. Clark; Williams, R. F.
1
1973
Paul Schweitzer’s solution of the Seifert problem. Zbl 0306.57010
Williams, R. F.
1
1974
Cohomology of expanding attractors. Zbl 0341.58011
Williams, R. F.
1
1975
The Penrose, Ammann and DA tiling spaces are Cantor set fiber bundles. Zbl 1080.37012
Williams, R. F.
1
2001
How big is the intersection of two thick Cantor sets? Zbl 0734.54022
Williams, R. F.
1
1991
Local contractions of compact metric sets which are not local isometries. Zbl 0057.14905
Williams, R. F.
1
1954
Local properties of open mappings. Zbl 0065.38201
Williams, R. F.
1
1955
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
The zeta function in global analysis. Zbl 0198.29103
Williams, R. F.
1
1969
Classification of subshifts of finite type. Zbl 0267.54038
Williams, R. F.
1
1973
Attractors, strange and perverse. Zbl 0679.58029
Williams, R. F.
1
1984
Strongly maximal intersection-complete neural codes on grids are convex. Zbl 1427.52003
Williams, Robert
1
2018
Strongly maximal intersection-complete neural codes on grids are convex. Zbl 1427.52003
Williams, Robert
1
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.
27
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.
4
1998
Splitting words and Lorenz braids. Zbl 0783.58041
Tresser, C.; Williams, R. F.
12
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.
6
1992
Strong shift equivalence of matrices in \(GL(2,\mathbb{Z})\). Zbl 0768.58039
Williams, R. F.
5
1992
How big is the intersection of two thick Cantor sets? Zbl 0734.54022
Williams, R. F.
1
1991
The Newtonian graph of a complex polynomial. Zbl 0653.58013
Shub, Michael; Tischler, David; Williams, Robert F.
7
1988
Braids and the Jones polynomial. Zbl 0647.57002
Franks, John; Williams, R. F.
66
1987
Knotted periodic orbits in suspensions of Smale’s horseshoe: torus knots and bifurcation sequences. Zbl 0593.58027
Holmes, Philip; Williams, R. F.
26
1985
Entropy and knots. Zbl 0587.58038
Franks, John; Williams, R. F.
18
1985
Lorenz knots are prime. Zbl 0595.58037
Williams, R. F.
11
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.
109
1983
Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043
Birman, Joan S.; Williams, R. F.
61
1983
Structural stability of Lorenz attractors. Zbl 0436.58018
Guckenheimer, John; Williams, R. F.
205
1979
The structure of Lorenz attractors. Zbl 0484.58021
Williams, R. F.
97
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
4
1977
The qualitative analysis of a difference equation of population growth. Zbl 0342.92014
Smale, S.; Williams, R. F.
18
1976
Classification of expanding attractors: an example. Zbl 0338.58013
Robinson, Clark; Williams, Robert
11
1976
On the homology of attractors. Zbl 0332.58011
Sullivan, Dennis; Williams, R. F.
6
1976
Entropy and stability. Zbl 0329.58010
Shub, Mike; Williams, Robert F.
12
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.
128
1973
Classification of subshifts of finite type. Zbl 0282.58008
Williams, R. F.
110
1973
Finite stability is not generic. Zbl 0305.58009
Robinson, R. Clark; Williams, R. F.
1
1973
Classification of subshifts of finite type. Zbl 0267.54038
Williams, R. F.
1
1973
Composition of contractions. Zbl 0335.54026
Williams, R. F.
26
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.
16
1970
The ’DA’ maps of Smale and structural stability. Zbl 0213.50303
Williams, R. F.
6
1970
Zeta function in global analysis. Zbl 0213.50402
Williams, R. F.
4
1970
Expanding attractors. Zbl 0208.25801
Williams, R. F.
4
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.
2
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.
97
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.
8
1963
Examples of p-adic transformation groups. Zbl 0178.26003
Raymond, F.; Williams, R. F.
8
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.
2
1960
A note on unstable homeomorphisms. Zbl 0067.15402
Williams, Robert F.
24
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.
1
1954
all top 5

Cited by 913 Authors

23 Morales, Carlos Arnoldo
13 Barge, Marcy M.
13 Stoimenow, Alexander
13 Williams, Robert F.
12 Zhuzhoma, Evgeniĭ Viktorovich
11 Boyle, Mike
11 Letellier, Christophe
11 Pacifico, Maria José
10 Araújo, Vítor
10 Melbourne, Ian
10 Sullivan, Michael C.
10 Turaev, Dmitry V.
9 Kuznetsov, Sergey P.
8 Bonatti, Christian
8 Clark, Alex
8 Grines, Vyacheslav Zigmundovich
8 Pinto, Alberto Adrego
7 Barrio, Roberto
7 Bautista, Serafín
7 Dranishnikov, Alexander Nikolaevich
7 Elrifai, Elsayed A.
7 Gambaudo, Jean-Marc
7 Holmes, Philip J.
7 Kato, Hisao
7 Kellendonk, Johannes
7 Kim, Ki Hang
7 Kitchens, Bruce P.
7 Labarca, Rafael
7 Marcus, Brian H.
7 Rand, David A.
7 Roush, Fred William
7 Shilnikov, Leonid Pavlovich
7 Varandas, Paulo
7 Wagoner, John B.
7 Yang, Dawei
6 Arbieto, Alexander
6 Bruin, Henk
6 Carrasco-Olivera, Dante
6 Franks, John M.
6 Gilmore, Robert
6 Kruglov, Vyacheslav Pavlovich
6 Matsumoto, Kengo
6 Medvedev, Vladislav Sergeevich
6 Ruelle, David Pierre
6 Tresser, Charles
6 Tuncel, Selim
5 Boroński, Jan P.
5 Bothe, Hans Günter
5 Deeley, Robin J.
5 Dehornoy, Pierre
5 Franco, Nuno
5 Krauskopf, Bernd
5 Krieger, Wolfgang
5 Lind, Douglas A.
5 Osinga, Hinke Maria
5 Pochinka, Olga Vital’evna
5 Sadun, Lorenzo A.
5 Shields, Sandra L.
5 Tezer, Cem
4 Ban, Jungchao
4 Chang, Chih-Hung
4 Da Luz, Adriana
4 Diao, Yuanan
4 Fried, David
4 Galatolo, Stefano
4 Ghrist, Robert W.
4 Gonchenko, Sergey V.
4 Goodman, Sue E.
4 Gouesbet, Gérard
4 Hetyei, Gábor
4 Homburg, Ale Jan
4 Hurder, Steven E.
4 Isaenkova, Natal’ya Viktorovna
4 Jones, Lowell Edwin
4 Lukina, Olga
4 Mira, Christian
4 Mouron, Christopher G.
4 Nasu, Masakazu
4 Oertel, Ulrich
4 Oprocha, Piotr
4 Palis, Jacob jun.
4 Pinsky, Tali
4 San Martín Rebolledo, Bernardo
4 Schmieding, Scott
4 Serrano, Sergio E.
4 Shilnikov, Andrey L.
4 Takens, Floris
4 Trow, Paul B.
4 Yorke, James Alan
4 Yu, Bin
3 Ahmed, Elsayed
3 Anušić, Ana
3 Banks, Stephen Paul
3 Barnsley, Michael Fielding
3 Birman, Joan S.
3 Boyland, Philip L.
3 Činč, Jernej
3 Guckenheimer, John M.
3 Kennedy, Judy A.
3 Kokubu, Hiroshi
...and 813 more Authors
all top 5

Cited in 188 Serials

77 Ergodic Theory and Dynamical Systems
73 Topology and its Applications
56 Transactions of the American Mathematical Society
43 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
42 Proceedings of the American Mathematical Society
23 Physica D
21 Communications in Mathematical Physics
20 Journal of Knot Theory and its Ramifications
17 Chaos, Solitons and Fractals
17 Chaos
16 Journal of Differential Equations
15 Discrete and Continuous Dynamical Systems
14 Israel Journal of Mathematics
14 Journal of Statistical Physics
14 Bulletin of the American Mathematical Society. New Series
12 Dynamical Systems
11 Nonlinearity
10 Advances in Mathematics
10 Publications Mathématiques
10 Algebraic & Geometric Topology
9 Mathematical Notes
9 Inventiones Mathematicae
8 Mathematische Zeitschrift
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Regular and Chaotic Dynamics
8 Bulletin of the American Mathematical Society
7 Monatshefte für Mathematik
7 Annales Henri Poincaré
7 Bulletin of the Brazilian Mathematical Society. New Series
6 Annales de l’Institut Fourier
5 Journal of Mathematical Analysis and Applications
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Applied Mathematics and Computation
5 Acta Applicandae Mathematicae
5 Linear Algebra and its Applications
5 Journal of Dynamics and Differential Equations
5 Communications in Nonlinear Science and Numerical Simulation
4 Bulletin of the Australian Mathematical Society
4 International Journal of Theoretical Physics
4 Journal of Mathematical Biology
4 Rocky Mountain Journal of Mathematics
4 Journal of Algebra
4 Japan Journal of Applied Mathematics
4 Indagationes Mathematicae. New Series
4 Journal of Difference Equations and Applications
4 Geometry & Topology
4 Acta Mathematica Sinica. English Series
4 Qualitative Theory of Dynamical Systems
4 SIAM Journal on Applied Dynamical Systems
3 Discrete Mathematics
3 Journal of Mathematical Physics
3 The Mathematical Intelligencer
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Boletim da Sociedade Brasileira de Matemática
3 Geometriae Dedicata
3 Mathematische Annalen
3 Mathematische Nachrichten
3 Memoirs of the American Mathematical Society
3 Michigan Mathematical Journal
3 Journal of Complexity
3 Journal of Nonlinear Science
3 Journal of Mathematical Sciences (New York)
3 Electronic Research Announcements of the American Mathematical Society
3 Journal of Dynamical and Control Systems
3 Communications in Contemporary Mathematics
3 Journal of Modern Dynamics
3 Science China. Mathematics
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Journal of the Franklin Institute
2 Mathematical Biosciences
2 Duke Mathematical Journal
2 Journal of Pure and Applied Algebra
2 Journal für die Reine und Angewandte Mathematik
2 Journal of Soviet Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Siberian Mathematical Journal
2 Theoretical Computer Science
2 Theoretical Population Biology
2 Tokyo Journal of Mathematics
2 Advances in Applied Mathematics
2 Applied Mathematics Letters
2 Journal of the American Mathematical Society
2 Dynamics and Stability of Systems
2 International Journal of Mathematics
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Fractals
2 Nonlinear Dynamics
2 Discrete Dynamics in Nature and Society
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Physical Review Letters
2 Differential Equations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Stochastics and Dynamics
2 Kyoto Journal of Mathematics
2 Nelineĭnaya Dinamika
1 Archive for Rational Mechanics and Analysis
1 Communications in Algebra
1 Computers & Mathematics with Applications
...and 88 more Serials
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Cited in 55 Fields

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