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Smale, Steve

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Author ID: smale.steve Recent zbMATH articles by "Smale, Steve"
Published as: Smale, Steve; Smale, S.; Smale, Stephen; Smale, Steven; Smale, Stephen J.; Smale, Stephan
Homepage: http://ttic.uchicago.edu/~smale/vita.html
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor
Awards: Fields Medal (1966) · Wolf Prize (2007)
Documents Indexed: 157 Publications since 1957, including 11 Books
Biographic References: 19 Publications
all top 5

Serials

8 Annals of Mathematics. Second Series
8 Foundations of Computational Mathematics
7 Journal of Mathematical Economics
6 Bulletin of the American Mathematical Society. New Series
4 American Journal of Mathematics
4 Journal of Complexity
4 Analysis and Applications (Singapore)
4 Bulletin of the American Mathematical Society
3 Uspekhi Matematicheskikh Nauk [N. S.]
3 The Mathematical Intelligencer
3 Proceedings of the American Mathematical Society
3 Notices of the American Mathematical Society
3 Oberwolfach Reports
3 Proceedings of Symposia in Pure Mathematics
2 Journal of Mathematical Biology
2 Inventiones Mathematicae
2 SIAM Journal on Computing
2 Theoretical Computer Science
2 Transactions of the American Mathematical Society
2 Constructive Approximation
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Journal of Mathematics and Mechanics
1 American Mathematical Monthly
1 Communications on Pure and Applied Mathematics
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie
1 Commentarii Mathematici Helvetici
1 Duke Mathematical Journal
1 Econometrica
1 Gazette des Mathématiciens
1 IEEE Transactions on Automatic Control
1 Journal of Differential Geometry
1 Mathematical Programming
1 SIAM Journal on Numerical Analysis
1 Synthese
1 Physica D
1 Journal of Symbolic Computation
1 Discrete & Computational Geometry
1 Journal of the American Mathematical Society
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Review
1 Applied and Computational Harmonic Analysis
1 Journal of the ACM
1 La Gaceta de la Real Sociedad Matemática Española
1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
1 Mathematical Medley
1 Japanese Journal of Mathematics. 3rd Series

Publications by Year

Citations contained in zbMATH Open

136 Publications have been cited 8,077 times in 6,084 Documents Cited by Year
Differentiable dynamical systems. With an appendix to the first part of the paper: “Anosov diffeomorphisms” by John Mather. Zbl 0202.55202
Smale, S.
1967
Differential equations, dynamical systems, and linear algebra. Zbl 0309.34001
Hirsch, Morris W.; Smale, Stephen
580
1974
Emergent behavior in flocks. Zbl 1366.91116
Cucker, Felipe; Smale, Steve
384
2007
On the mathematical foundations of learning. Zbl 0983.68162
Cucker, Felipe; Smale, Steve
331
2002
Mathematical problems for the next century. Zbl 0947.01011
Smale, Steve
303
1998
On a theory of computation and complexity over the real numbers: NP- completeness, recursive functions and universal machines. Zbl 0681.03020
Blum, Lenore; Shub, Mike; Smale, Steve
281
1989
An infinite dimensional version of Sard’s theorem. Zbl 0143.35301
Smale, S.
227
1965
Learning theory estimates via integral operators and their approximations. Zbl 1127.68088
Smale, Steve; Zhou, Ding-Xuan
184
2007
Topology and mechanics. II: The planar \(n\)-body problem. Zbl 0203.26102
Smale, S.
147
1970
Complexity and real computation: A manifesto. Zbl 0872.68036
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
145
1996
The fundamental theorem of algebra and complexity theory. Zbl 0456.12012
Smale, Steve
144
1981
Diffeomorphisms with many periodic points. Zbl 0142.41103
Smale, S.
130
1965
Differential equations, dynamical systems, and an introduction to chaos. 2nd ed. Zbl 1135.37002
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
127
2004
On the mathematics of emergence. Zbl 1166.92323
Cucker, Felipe; Smale, Steve
126
2007
Generalized Poincaré’s conjecture in dimensions greater than four. Zbl 0099.39202
Smale, Stephen
118
1961
Topology and mechanics. I. Zbl 0202.23201
Smale, S.
118
1970
On the efficiency of algorithms of analysis. Zbl 0592.65032
Smale, Steve
114
1985
Structural stability theorems. Zbl 0214.50702
Palis, J.; Smale, S.
113
1970
Finding the homology of submanifolds with high confidence from random samples. Zbl 1148.68048
Niyogi, Partha; Smale, Stephen; Weinberger, Shmuel
111
2008
A convergent process of price adjustment and global Newton methods. Zbl 0354.90018
Smale, Steve
109
1976
Complexity of Bezout’s theorem. I: Geometric aspects. Zbl 0821.65035
Shub, Michael; Smale, Steve
106
1993
Shannon sampling and function reconstruction from point values. Zbl 1107.94007
Smale, Steve; Zhou, Ding-Xuan
105
2004
On the structure of manifolds. Zbl 0109.41103
Smale, S.
101
1962
Diffeomorphisms of the 2-sphere. Zbl 0118.39103
Smale, S.
98
1959
A generalized Morse theory. Zbl 0119.09201
Palais, R. S.; Smale, S.
98
1964
On gradient dynamical systems. Zbl 0136.43702
Smale, S.
96
1961
The classification of immersions of spheres in Euclidean spaces. Zbl 0089.18201
Smale, Stephen
94
1959
Estimating the approximation error in learning theory. Zbl 1079.68089
Smale, Steve; Zhou, Ding-Xuan
92
2003
Complexity of Bezout’s theorem. II: Volumes and probabilities. Zbl 0851.65031
Shub, M.; Smale, S.
85
1993
Shannon sampling. II: Connections to learning theory. Zbl 1107.94008
Smale, Steve; Zhou, Ding-Xuan
80
2005
Best choices for regularization parameters in learning theory: on the bias-variance problem. Zbl 1057.68085
Cucker, Felipe; Smale, Steve
79
2002
On the differential equations of species in competition. Zbl 0344.92009
Smale, S.
76
1976
Complexity of Bezout’s theorem. IV: Probability of success; extensions. Zbl 0843.65035
Shub, Michael; Smale, Steve
71
1996
Morse inequalities for a dynamical system. Zbl 0100.29701
Smale, Stephen
68
1960
Complexity of Bezout’s theorem. III: Condition number and packing. Zbl 0846.65018
Shub, Michael; Smale, Steve
67
1993
Online learning with Markov sampling. Zbl 1170.68022
Smale, Steve; Zhou, Ding-Xuan
66
2009
On the structure of 5-manifolds. Zbl 0101.16103
Smale, Stephen
60
1962
Mathematical problems for the next century. Zbl 1031.00005
Smale, Steve
59
2000
Complexity of Bezout’s theorem. V: Polynomial time. Zbl 0846.65022
Shub, M.; Smale, S.
57
1994
Differential equations, dynamical systems, and an introduction to chaos. 3rd ed. Zbl 1239.37001
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
53
2013
On the Morse index theorem. Zbl 0166.36102
Smale, S.
49
1965
On the average number of steps of the simplex method of linear programming. Zbl 0526.90060
Smale, Steve
46
1983
The mathematics of learning: dealing with data. Zbl 1083.68100
Poggio, Tomaso; Smale, Steve
46
2003
Global analysis and economics. II: Extension of a theorem of Debreu. Zbl 0316.90006
Smale, S.
45
1974
Stable manifolds for differential equations and diffeomorphisms. Zbl 0113.29702
Smale, S.
44
1963
Morse theory and a non-linear generalization of the Dirichlet problem. Zbl 0131.32305
Smale, S.
42
1964
Complexity theory and numerical analysis. Zbl 0883.65125
Smale, Steve
41
1997
A Vietoris mapping theorem for homotopy. Zbl 0089.39003
Smale, Stephen
40
1957
Global analysis and economics. VI: Geometric analysis of Pareto optima and price equilibria under classical hypotheses. Zbl 0348.90017
Smale, S.
39
1976
On algorithms for solving f(x)=0. Zbl 0408.65032
Hirsch, Morris W.; Smale, Stephen
39
1979
Global analysis and economics. V: Pareto theory with constraints. Zbl 0357.90010
Smale, S.
38
1974
The mathematics of time. Essays on dynamical systems, economic processes, and related topics. Zbl 0451.58001
Smale, Steve
37
1980
Structurally stable systems are not dense. Zbl 0149.20001
Smale, S.
37
1966
Newton’s method estimates from data at one point. Zbl 0613.65058
Smale, Steve
36
1986
On the mathematical foundations of electrical circuit theory. Zbl 0286.34071
Smale, S.
34
1972
The prisoner’s dilemma and dynamical systems associated to non- cooperative games. Zbl 0463.90099
Smale, Steve
34
1980
A topological view of unsupervised learning from noisy data. Zbl 1230.62085
Niyogi, P.; Smale, S.; Weinberger, S.
34
2011
Computational complexity: On the geometry of polynomials and a theory of cost. II. Zbl 0625.65036
Shub, M.; Smale, S.
33
1986
Dynamics retrospective: Great problems, attempts that failed. Zbl 0745.58018
Smale, Steve
30
1991
Online learning algorithms. Zbl 1119.68098
Smale, Steve; Yao, Yuan
30
2006
Nongenericity of \(\Omega\)-stability. Zbl 0215.25102
Abraham, R.; Smale, S.
30
1970
Global analysis and economics. III: Pareto Optima and price equilibria. Zbl 0316.90007
Smale, S.
29
1974
On the topology of algorithms. I. Zbl 0639.68042
Smale, Steve
27
1987
On the geometry of polynomials and a theory of cost. I. Zbl 0603.65027
Shub, Mike; Smale, Steve
26
1985
Global analysis and economics. IV: Finiteness and stability of equilibria with general consumption sets and production. Zbl 0316.90008
Smale, S.
24
1974
Regular curves on Riemannian manifolds. Zbl 0081.38103
Smale, Stephen
24
1958
Complexity and real computation. Foreword by Richard M. Karp. Zbl 0948.68068
Blum, Leonore; Cucker, Felipe; Shub, Michael; Smale, Steve
23
1997
A classification of immersions of the two-sphere. Zbl 0089.18102
Smale, Stephen
23
1959
Notes on differentiable dynamical systems. Zbl 0205.54201
Smale, S.
23
1970
Geometry on probability spaces. Zbl 1187.68270
Smale, Steve; Zhou, Ding-Xuan
22
2009
On the immersion of manifolds in Euclidean space. Zbl 0097.38805
Lashof, R.; Smale, S.
21
1958
A mathematical model of two cells via Turing’s equation. Zbl 0333.92002
Smale, S.
20
1974
Global analysis and economics. I: Pareto optimum and a generalization of Morse theory. Zbl 0269.58009
Smale, Steve
20
1973
Exchange processes with price adjustment. Zbl 0366.90013
Smale, Stephen
19
1976
Algorithms for solving equations. Zbl 0665.65058
Smale, Steve
19
1987
The qualitative analysis of a difference equation of population growth. Zbl 0342.92014
Smale, S.; Williams, R. F.
18
1976
Finding a horseshoe on the beaches of Rio. Zbl 0983.37001
Smale, Steve
18
1998
Complexity estimates depending on condition and round-off error. Zbl 1065.68533
Cucker, Felipe; Smale, Steve
18
1999
Modeling language evolution. Zbl 1083.68131
Cucker, Felipe; Smale, Steve; Zhou, Ding-Xuan
18
2004
Separation of complexity classes in Koiran’s weak model. Zbl 0819.68053
Cucker, F.; Shub, M.; Smale, S.
15
1994
The \(\Omega\)-stability theorem. Zbl 0205.54104
Smale, S.
15
1970
On the existence of generally convergent algorithms. Zbl 0595.65048
Shub, Michael; Smale, Steve
15
1986
On the intractability of Hilbert’s Nullstellensatz and an algebraic version of “\(NP\neq P\)?”. Zbl 0882.03040
Shub, Michael; Smale, Steve
14
1995
Smooth solutions of the heat and wave equations. Zbl 0439.35017
Smale, Stephen
14
1980
Some remarks on the foundations of numerical analysis. Zbl 0703.65003
Smale, Steve
14
1990
The generalized Poincaré conjecture in higher dimensions. Zbl 0099.39201
Smale, Stephen
13
1960
Beyond hyperbolicity. Zbl 0247.58008
Shub, M.; Smale, S.
13
1972
A polynomial time algorithm for diophantine equations in one variable. Zbl 0920.11085
Cucker, Felipe; Koiran, Pascal; Smale, Steve
12
1999
On the problem of reviving the ergodic hypothesis of Boltzmann and Birkhoff. Zbl 0486.58014
Smale, S.
12
1980
Self-intersections of immersed manifolds. Zbl 0093.37501
Lashof, R. K.; Smale, S.
12
1959
Algebraic settings for the problem ”P\(\neq\)NP?”. Zbl 0856.68068
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
11
1996
Global analysis and economics. Zbl 0477.90014
Smale, Steve
11
1981
Global analysis and economics. I: Pareto optimum and a generalisation of Morse theory. Zbl 0267.58008
Smale, S.
11
1972
The problem of the average speed of the simplex method. Zbl 0552.90059
Smale, S.
11
1983
Hodge theory on metric spaces. Appendix by Anthony W. Baker. Zbl 1366.58001
Bartholdi, Laurent; Schick, Thomas; Smale, Nat; Smale, Steve
10
2012
Differentiable and combinatorial structures on manifolds. Zbl 0111.18902
Smale, Stephen
10
1961
On a theory of computation over the real numbers; NP completeness, recursive functions and universal machines. Zbl 0691.68034
Blum, L.; Shub, M.; Smale, S.
10
1990
Problems on the nature of relative equilibria in celestial mechanics. Zbl 0215.52602
Smale, S.
9
1971
On dynamical systems. Zbl 0121.17906
Smale, S.
8
1960
Stable manifolds for differential equations and diffeomorphisms. Zbl 0202.55201
Smale, S.
8
1962
The pitchfork bifurcation. Zbl 1373.34058
Rajapakse, Indika; Smale, Steve
3
2017
Mathematics of the genome. Zbl 1380.37148
Rajapakse, Indika; Smale, Steve
3
2017
Emergence of function from coordinated cells in a tissue. Zbl 1404.92067
Rajapakse, Indika; Smale, Stephen
2
2017
Introduction to the peptide binding problem of computational immunology: new results. Zbl 1329.92096
Shen, Wen-Jun; Wong, Hau-San; Xiao, Quan-Wu; Guo, Xin; Smale, Stephen
3
2014
Differential equations, dynamical systems, and an introduction to chaos. 3rd ed. Zbl 1239.37001
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
53
2013
Hodge theory on metric spaces. Appendix by Anthony W. Baker. Zbl 1366.58001
Bartholdi, Laurent; Schick, Thomas; Smale, Nat; Smale, Steve
10
2012
Abstract and classical Hodge-de Rham theory. Zbl 1243.58003
Smale, Nat; Smale, Steve
3
2012
A topological view of unsupervised learning from noisy data. Zbl 1230.62085
Niyogi, P.; Smale, S.; Weinberger, S.
34
2011
Mathematics of the neural response. Zbl 1185.68813
Smale, S.; Rosasco, L.; Bouvrie, J.; Caponnetto, A.; Poggio, T.
7
2010
Online learning with Markov sampling. Zbl 1170.68022
Smale, Steve; Zhou, Ding-Xuan
66
2009
Geometry on probability spaces. Zbl 1187.68270
Smale, Steve; Zhou, Ding-Xuan
22
2009
Finding the homology of submanifolds with high confidence from random samples. Reprinted from the journal Discrete & Computational Geometry 39, No. 1-3 (2008). Zbl 1177.62003
Niyogi, Partha; Smale, Stephen; Weinberger, Shmuel
5
2009
Finding the homology of submanifolds with high confidence from random samples. Zbl 1148.68048
Niyogi, Partha; Smale, Stephen; Weinberger, Shmuel
111
2008
Learning theory and approximation. Abstracts from the workshop held June 29 – July 5, 2008. Zbl 1177.68114
Jetter, Kurt; Smale, Steve; Zhou, Ding-Xuan
1
2008
Emergent behavior in flocks. Zbl 1366.91116
Cucker, Felipe; Smale, Steve
384
2007
Learning theory estimates via integral operators and their approximations. Zbl 1127.68088
Smale, Steve; Zhou, Ding-Xuan
184
2007
On the mathematics of emergence. Zbl 1166.92323
Cucker, Felipe; Smale, Steve
126
2007
Risk bounds for random regression graphs. Zbl 1368.68278
Caponnetto, A.; Smale, S.
2
2007
Online learning algorithms. Zbl 1119.68098
Smale, Steve; Yao, Yuan
30
2006
Shannon sampling. II: Connections to learning theory. Zbl 1107.94008
Smale, Steve; Zhou, Ding-Xuan
80
2005
On problems of computational complexity. Zbl 1147.68527
Smale, Stephen
1
2005
Differential equations, dynamical systems, and an introduction to chaos. 2nd ed. Zbl 1135.37002
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
127
2004
Shannon sampling and function reconstruction from point values. Zbl 1107.94007
Smale, Steve; Zhou, Ding-Xuan
105
2004
Modeling language evolution. Zbl 1083.68131
Cucker, Felipe; Smale, Steve; Zhou, Ding-Xuan
18
2004
Estimating the approximation error in learning theory. Zbl 1079.68089
Smale, Steve; Zhou, Ding-Xuan
92
2003
The mathematics of learning: dealing with data. Zbl 1083.68100
Poggio, Tomaso; Smale, Steve
46
2003
On the mathematical foundations of learning. Zbl 0983.68162
Cucker, Felipe; Smale, Steve
331
2002
Best choices for regularization parameters in learning theory: on the bias-variance problem. Zbl 1057.68085
Cucker, Felipe; Smale, Steve
79
2002
Mathematical problems for the next century. Zbl 1031.00005
Smale, Steve
59
2000
Mathematical problems of the next century. Zbl 1077.01502
Smale, S.
4
2000
The collected papers of Stephen Smale. Vols. 1-3. Edited by F. Cucker and R. Wong. Zbl 0995.01005
Smale, Stephen
3
2000
Mathematical problems for the next century. (Problèmes mathématiques pour le prochain siècle.) Zbl 1040.01006
Smale, Steve
1
2000
Complexity estimates depending on condition and round-off error. Zbl 1065.68533
Cucker, Felipe; Smale, Steve
18
1999
A polynomial time algorithm for diophantine equations in one variable. Zbl 0920.11085
Cucker, Felipe; Koiran, Pascal; Smale, Steve
12
1999
Mathematical problems for the next century. Zbl 0947.01011
Smale, Steve
303
1998
Finding a horseshoe on the beaches of Rio. Zbl 0983.37001
Smale, Steve
18
1998
Some lower bounds for the complexity of continuation methods. Zbl 0918.65038
Dedieu, Jean-Pierre; Smale, Steve
2
1998
The work of Curtis T. McMullen. Zbl 1288.01063
Smale, Steven
1
1998
Complexity theory and numerical analysis. Zbl 0883.65125
Smale, Steve
41
1997
Complexity and real computation. Foreword by Richard M. Karp. Zbl 0948.68068
Blum, Leonore; Cucker, Felipe; Shub, Michael; Smale, Steve
23
1997
Complexity and real computation: A manifesto. Zbl 0872.68036
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
145
1996
Complexity of Bezout’s theorem. IV: Probability of success; extensions. Zbl 0843.65035
Shub, Michael; Smale, Steve
71
1996
Algebraic settings for the problem ”P\(\neq\)NP?”. Zbl 0856.68068
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
11
1996
On the intractability of Hilbert’s Nullstellensatz and an algebraic version of “\(NP\neq P\)?”. Zbl 0882.03040
Shub, Michael; Smale, Steve
14
1995
Complexity of Bezout’s theorem. V: Polynomial time. Zbl 0846.65022
Shub, M.; Smale, S.
57
1994
Separation of complexity classes in Koiran’s weak model. Zbl 0819.68053
Cucker, F.; Shub, M.; Smale, S.
15
1994
Complexity of Bezout’s theorem. I: Geometric aspects. Zbl 0821.65035
Shub, Michael; Smale, Steve
106
1993
Complexity of Bezout’s theorem. II: Volumes and probabilities. Zbl 0851.65031
Shub, M.; Smale, S.
85
1993
Complexity of Bezout’s theorem. III: Condition number and packing. Zbl 0846.65018
Shub, Michael; Smale, Steve
67
1993
The Gödel incompleteness theorem and decidability over a ring. Zbl 0793.03066
Blum, Lenore; Smale, Steve
5
1993
Dynamics retrospective: Great problems, attempts that failed. Zbl 0745.58018
Smale, Steve
30
1991
Some remarks on the foundations of numerical analysis. Zbl 0703.65003
Smale, Steve
14
1990
On a theory of computation over the real numbers; NP completeness, recursive functions and universal machines. Zbl 0691.68034
Blum, L.; Shub, M.; Smale, S.
10
1990
The story of the higher dimensional Poincaré conjecture (what actually happened on the beaches of Rio). Zbl 0703.57001
Smale, Steve
2
1990
On a theory of computation and complexity over the real numbers: NP- completeness, recursive functions and universal machines. Zbl 0681.03020
Blum, Lenore; Shub, Mike; Smale, Steve
281
1989
On the topology of algorithms. I. Zbl 0639.68042
Smale, Steve
27
1987
Algorithms for solving equations. Zbl 0665.65058
Smale, Steve
19
1987
Newton’s method estimates from data at one point. Zbl 0613.65058
Smale, Steve
36
1986
Computational complexity: On the geometry of polynomials and a theory of cost. II. Zbl 0625.65036
Shub, M.; Smale, S.
33
1986
On the existence of generally convergent algorithms. Zbl 0595.65048
Shub, Michael; Smale, Steve
15
1986
On the efficiency of algorithms of analysis. Zbl 0592.65032
Smale, Steve
114
1985
On the geometry of polynomials and a theory of cost. I. Zbl 0603.65027
Shub, Mike; Smale, Steve
26
1985
On the average number of steps of the simplex method of linear programming. Zbl 0526.90060
Smale, Steve
46
1983
The problem of the average speed of the simplex method. Zbl 0552.90059
Smale, S.
11
1983
On the average cost of solving polynomial equations. Zbl 0529.41008
Shub, Mike; Smale, Steve
1
1983
The fundamental theorem of algebra and complexity theory. Zbl 0456.12012
Smale, Steve
144
1981
Global analysis and economics. Zbl 0477.90014
Smale, Steve
11
1981
The mathematics of time. Essays on dynamical systems, economic processes, and related topics. Zbl 0451.58001
Smale, Steve
37
1980
The prisoner’s dilemma and dynamical systems associated to non- cooperative games. Zbl 0463.90099
Smale, Steve
34
1980
Smooth solutions of the heat and wave equations. Zbl 0439.35017
Smale, Stephen
14
1980
On the problem of reviving the ergodic hypothesis of Boltzmann and Birkhoff. Zbl 0486.58014
Smale, S.
12
1980
On algorithms for solving f(x)=0. Zbl 0408.65032
Hirsch, Morris W.; Smale, Stephen
39
1979
On comparative statics and bifurcation in economic equilibrium theory. Zbl 0437.90026
Smale, Steve
1
1979
An approach to the analysis of dynamic processes in economic systems. Zbl 0387.90031
Smale, Steve
2
1978
Dynamical systems and turbulence. Zbl 0362.58012
Smale, Steve
2
1977
Convergent process of price adjustment and global Newton methods. Zbl 0384.34025
Smale, Steve
2
1977
A convergent process of price adjustment and global Newton methods. Zbl 0354.90018
Smale, Steve
109
1976
On the differential equations of species in competition. Zbl 0344.92009
Smale, S.
76
1976
Global analysis and economics. VI: Geometric analysis of Pareto optima and price equilibria under classical hypotheses. Zbl 0348.90017
Smale, S.
39
1976
Exchange processes with price adjustment. Zbl 0366.90013
Smale, Stephen
19
1976
The qualitative analysis of a difference equation of population growth. Zbl 0342.92014
Smale, S.; Williams, R. F.
18
1976
Sufficient conditions for an optimum. Zbl 0314.58007
Smale, S.
6
1975
Optimizing several functions. Zbl 0349.90086
Smale, Stephen
5
1975
Global analysis and economics. Pareto optimum and a generalization of Morse theory. Zbl 0312.90007
Smale, Steve
2
1975
Differential equations, dynamical systems, and linear algebra. Zbl 0309.34001
Hirsch, Morris W.; Smale, Stephen
580
1974
Global analysis and economics. II: Extension of a theorem of Debreu. Zbl 0316.90006
Smale, S.
45
1974
Global analysis and economics. V: Pareto theory with constraints. Zbl 0357.90010
Smale, S.
38
1974
Global analysis and economics. III: Pareto Optima and price equilibria. Zbl 0316.90007
Smale, S.
29
1974
Global analysis and economics. IV: Finiteness and stability of equilibria with general consumption sets and production. Zbl 0316.90008
Smale, S.
24
1974
A mathematical model of two cells via Turing’s equation. Zbl 0333.92002
Smale, S.
20
1974
Global analysis and economics. I: Pareto optimum and a generalization of Morse theory. Zbl 0269.58009
Smale, Steve
20
1973
Stability and isotopy in discrete dynamical systems. Zbl 0284.58013
Smale, Steve
3
1973
On the mathematical foundations of electrical circuit theory. Zbl 0286.34071
Smale, S.
34
1972
Beyond hyperbolicity. Zbl 0247.58008
Shub, M.; Smale, S.
13
1972
Global analysis and economics. I: Pareto optimum and a generalisation of Morse theory. Zbl 0267.58008
Smale, S.
11
1972
Topology and mechanics. Zbl 0233.57018
Smale, S.
3
1972
Problems on the nature of relative equilibria in celestial mechanics. Zbl 0215.52602
Smale, S.
9
1971
Topology and mechanics. II: The planar \(n\)-body problem. Zbl 0203.26102
Smale, S.
147
1970
Topology and mechanics. I. Zbl 0202.23201
Smale, S.
118
1970
Structural stability theorems. Zbl 0214.50702
Palis, J.; Smale, S.
113
1970
...and 36 more Documents
all top 5

Cited by 6,613 Authors

72 Ha, Seung-Yeal
53 Llibre, Jaume
52 Grines, Vyacheslav Zigmundovich
49 Zhou, Dingxuan
41 Cucker, Felipe
41 Pochinka, Olga Vital’evna
41 Smale, Steve
33 Shub, Michael
28 Zhuzhoma, Evgeniĭ Viktorovich
26 Choi, Young-Pil
25 Carrillo de la Plata, José Antonio
25 Medvedev, Vladislav Sergeevich
23 Chen, Dirong
23 Marsden, Jerrold Eldon
23 Sun, Hongwei
23 Yu, Pei
22 Beltrán, Carlos
21 Koiran, Pascal
21 Meer, Klaus
20 Han, Maoan
19 Hirsch, Morris W.
19 Pardo, Luis Miguel
19 Sheng, Baohuai
18 Bonatti, Christian
18 Bürgisser, Peter
18 Holmes, Philip J.
18 Mello, Luis Fernando O.
18 Petković, Miodrag S.
18 Xiang, Dao-Hong
17 Degond, Pierre
17 Pillonetto, Gianluigi
17 Ruelle, David Pierre
16 Laudenbach, François
15 Guo, Zheng-Chu
15 Kim, Jeongho
14 Hu, Ting
14 Li, Luoqing
14 Rosasco, Lorenzo A.
14 Wu, Qiang
14 Xu, Zongben
14 Yorke, James Alan
13 Fernandes, Antonio Carlos
13 Fornasier, Massimo
13 Jørgensen, Palle E. T.
13 Kuznetsov, Sergey P.
13 Li, Chong
13 Tong, Hongzhi
13 Zhang, Xiongtao
12 Basu, Saugata
12 Chen, Guanrong
12 Chen, Hong
12 Dong, Jiu-Gang
12 Kim, Doheon
12 Li, Jibin
12 Malajovich, Gregorio
12 Palis, Jacob jun.
12 Sanguineti, Marcello
11 Chazal, Frédéric
11 Crovisier, Sylvain
11 Dedieu, Jean-Pierre
11 Devaney, Robert L.
11 Gurevich, Elena Ya.
11 Li, Zhuchun
11 Pérez-Chavela, Ernesto
11 Pugh, Charles Chapman
11 Temam, Roger Meyer
11 Xian, Jun
11 Zou, Bin
10 Armentano, Diego
10 Bellomo, Nicola
10 Block, Louis Stuart
10 Bowen, Rufus
10 De Vito, Ernesto
10 Gnecco, Giorgio
10 Guckenheimer, John M.
10 Kim, Dohyun
10 Robinson, Clark
10 Rojas, J. Maurice
10 Santoprete, Manuele
10 Tadmor, Eitan
10 Tan, Changhui
10 Wang, Qiudong
10 Zhang, Haizhang
9 Argyros, Ioannis Konstantinos
9 Diacu, Florin Nicolae
9 Fiedler, Bernold
9 Graça, Daniel Silva
9 Gutiérrez, José Manuel
9 Lv, Shaogao
9 Malinowska, Agnieszka Barbara
9 Peszek, Jan
9 Petković, Ljiljana D.
9 Rančić, Lidija Z.
9 Shamolin, Maksim Vladimirovich
9 Takens, Floris
9 Viana, Marcelo
9 Wang, Xiao
9 Xie, Zhifu
9 Zanolin, Fabio
8 Blackmore, Denis L.
...and 6,513 more Authors
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Cited in 674 Serials

200 Journal of Differential Equations
179 Transactions of the American Mathematical Society
143 Journal of Complexity
115 Journal of Mathematical Analysis and Applications
107 Proceedings of the American Mathematical Society
106 Physica D
103 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
93 Theoretical Computer Science
90 Journal of Mathematical Economics
81 Ergodic Theory and Dynamical Systems
79 Bulletin of the American Mathematical Society
74 Topology and its Applications
72 Applied Mathematics and Computation
66 Communications in Mathematical Physics
66 Inventiones Mathematicae
63 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
61 Chaos
59 Foundations of Computational Mathematics
57 Bulletin of the American Mathematical Society. New Series
54 Chaos, Solitons and Fractals
52 Journal of Mathematical Sciences (New York)
51 Advances in Mathematics
49 Mathematische Zeitschrift
43 Journal of Statistical Physics
43 Journal of Computational and Applied Mathematics
43 Journal of Economic Theory
42 Automatica
41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
40 Mathematische Annalen
39 Archive for Rational Mechanics and Analysis
39 Journal of Mathematical Physics
38 Mathematical Notes
37 Journal of Dynamics and Differential Equations
37 Nonlinear Analysis. Theory, Methods & Applications
36 Discrete and Continuous Dynamical Systems
36 Analysis and Applications (Singapore)
35 Computers & Mathematics with Applications
35 Journal of Mathematical Biology
33 Neural Computation
33 Celestial Mechanics and Dynamical Astronomy
33 Applied and Computational Harmonic Analysis
32 Journal of Optimization Theory and Applications
32 Linear Algebra and its Applications
29 Discrete & Computational Geometry
28 Mathematics of Computation
27 Bulletin of Mathematical Biology
26 Journal of Geometry and Physics
26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
26 Geometry & Topology
26 Communications in Nonlinear Science and Numerical Simulation
26 Qualitative Theory of Dynamical Systems
25 Publications Mathématiques
25 Journal of Symbolic Computation
25 Advances in Computational Mathematics
24 Duke Mathematical Journal
24 Journal of Functional Analysis
24 Abstract and Applied Analysis
24 Regular and Chaotic Dynamics
24 International Journal of Wavelets, Multiresolution and Information Processing
24 Proceedings of the Steklov Institute of Mathematics
23 Israel Journal of Mathematics
23 Mathematical Biosciences
23 Nonlinearity
22 Mathematical Programming. Series A. Series B
21 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
21 Geometriae Dedicata
21 Journal of Approximation Theory
21 Mathematical Programming
21 Acta Applicandae Mathematicae
21 Journal of Economic Dynamics & Control
21 Applied Mathematics Letters
21 Celestial Mechanics
21 Nonlinear Analysis. Real World Applications
21 SIAM Journal on Applied Dynamical Systems
20 Journal of the Franklin Institute
20 Annales de l’Institut Fourier
20 Journal of Nonlinear Science
20 Journal of Difference Equations and Applications
20 Nonlinear Dynamics
19 The Annals of Statistics
19 Systems & Control Letters
18 Discrete and Continuous Dynamical Systems. Series B
17 Neural Networks
17 Algebraic & Geometric Topology
16 Annals of Global Analysis and Geometry
16 Constructive Approximation
16 Mathematical Problems in Engineering
16 Differential Equations
16 Journal of Machine Learning Research (JMLR)
16 Journal of Fixed Point Theory and Applications
16 Kinetic and Related Models
16 Science China. Mathematics
16 Journal of Theoretical Biology
15 General Relativity and Gravitation
15 Mathematical and Computer Modelling
15 SIAM Journal on Mathematical Analysis
15 Economic Theory
14 ZAMP. Zeitschrift für angewandte Mathematik und Physik
14 Annali di Matematica Pura ed Applicata. Serie Quarta
14 Journal of Pure and Applied Algebra
...and 574 more Serials
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Cited in 62 Fields

1,734 Dynamical systems and ergodic theory (37-XX)
865 Computer science (68-XX)
798 Ordinary differential equations (34-XX)
622 Numerical analysis (65-XX)
535 Manifolds and cell complexes (57-XX)
463 Biology and other natural sciences (92-XX)
449 Global analysis, analysis on manifolds (58-XX)
433 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
423 Partial differential equations (35-XX)
382 Differential geometry (53-XX)
378 Mechanics of particles and systems (70-XX)
320 Statistics (62-XX)
315 Operations research, mathematical programming (90-XX)
288 Systems theory; control (93-XX)
235 Probability theory and stochastic processes (60-XX)
208 Algebraic topology (55-XX)
178 Operator theory (47-XX)
172 Calculus of variations and optimal control; optimization (49-XX)
170 General topology (54-XX)
156 Statistical mechanics, structure of matter (82-XX)
155 Algebraic geometry (14-XX)
155 Functional analysis (46-XX)
148 Functions of a complex variable (30-XX)
143 Mathematical logic and foundations (03-XX)
133 Fluid mechanics (76-XX)
132 Information and communication theory, circuits (94-XX)
96 Several complex variables and analytic spaces (32-XX)
94 Linear and multilinear algebra; matrix theory (15-XX)
90 Approximations and expansions (41-XX)
89 Measure and integration (28-XX)
87 Real functions (26-XX)
84 Combinatorics (05-XX)
84 Field theory and polynomials (12-XX)
76 Quantum theory (81-XX)
64 Number theory (11-XX)
62 Difference and functional equations (39-XX)
62 Harmonic analysis on Euclidean spaces (42-XX)
58 Convex and discrete geometry (52-XX)
57 History and biography (01-XX)
49 Mechanics of deformable solids (74-XX)
44 Group theory and generalizations (20-XX)
41 Relativity and gravitational theory (83-XX)
38 Commutative algebra (13-XX)
38 Topological groups, Lie groups (22-XX)
34 General and overarching topics; collections (00-XX)
33 Integral equations (45-XX)
27 Potential theory (31-XX)
18 Geophysics (86-XX)
17 Nonassociative rings and algebras (17-XX)
17 Optics, electromagnetic theory (78-XX)
15 Geometry (51-XX)
14 Category theory; homological algebra (18-XX)
13 \(K\)-theory (19-XX)
12 Special functions (33-XX)
11 Classical thermodynamics, heat transfer (80-XX)
10 Abstract harmonic analysis (43-XX)
10 Astronomy and astrophysics (85-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
6 Associative rings and algebras (16-XX)
6 Integral transforms, operational calculus (44-XX)
3 Mathematics education (97-XX)
1 Sequences, series, summability (40-XX)

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