×
Author ID: shub.michael Recent zbMATH articles by "Shub, Michael"
Published as: Shub, Michael; Shub, M.; Shub, Mike
External Links: MGP · Wikidata · dblp · GND · IdRef
all top 5

Serials

10 Foundations of Computational Mathematics
6 Inventiones Mathematicae
6 Topology
6 Ergodic Theory and Dynamical Systems
6 Journal of Complexity
4 Bulletin of the American Mathematical Society
3 Mathematics of Computation
3 SIAM Journal on Computing
3 Theoretical Computer Science
3 Transactions of the American Mathematical Society
3 Discrete and Continuous Dynamical Systems
2 IMA Journal of Numerical Analysis
2 Journal of Statistical Physics
2 Advances in Mathematics
2 American Journal of Mathematics
2 Duke Mathematical Journal
2 Journal of the American Mathematical Society
2 SIAM Journal on Matrix Analysis and Applications
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 The Mathematical Intelligencer
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Compositio Mathematica
1 Publications Mathématiques
1 Mathematics of Operations Research
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Numerical Analysis
1 Applied Mathematics Letters
1 IBM Journal of Research and Development
1 SIAM Journal on Mathematical Analysis
1 Notices of the American Mathematical Society
1 Mathematical Programming. Series A. Series B
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Journal of the ACM
1 Discrete and Continuous Dynamical Systems. Series B
1 Astérisque
1 Fields Institute Communications
1 Lectures in Applied Mathematics
1 Lecture Notes in Mathematics
1 Journal of Modern Dynamics
1 Science China. Mathematics
1 Journal of Theoretical Biology

Publications by Year

Citations contained in zbMATH Open

120 Publications have been cited 4,521 times in 3,176 Documents Cited by Year
Invariant manifolds. Zbl 0355.58009
Hirsch, M. W.; Pugh, C. C.; Shub, M.
985
1977
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
332
1989
Global stability of dynamical systems. With the collab. of Albert Fathi and Remi Langevin. Transl. from the French by Joseph Christy. Zbl 0606.58003
Shub, Michael
276
1987
Complexity and real computation: A manifesto. Zbl 0872.68036
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
179
1996
Endomorphisms of compact differentiable manifolds. Zbl 0201.56305
Shub, M.
141
1969
Newton’s method on Riemannian manifolds and a geometric model for the human spine. Zbl 1056.92002
Adler, Roy L.; Dedieu, Jean-Pierre; Margulies, Joseph Y.; Martens, Marco; Shub, Mike
122
2002
Complexity of Bezout’s theorem. I: Geometric aspects. Zbl 0821.65035
Shub, Michael; Smale, Steve
117
1993
Complexity of Bezout’s theorem. II: Volumes and probabilities. Zbl 0851.65031
Shub, M.; Smale, S.
106
1993
Invariant manifolds. Zbl 0226.58009
Hirsch, M. W.; Pugh, C. C.; Shub, M.
95
1970
A simple unpredictable pseudo-random number generator. Zbl 0602.65002
Blum, L.; Blum, M.; Shub, M.
93
1986
Ergodic attractors. Zbl 0684.58008
Pugh, Charles; Shub, Michael
87
1989
Neighborhoods of hyperbolic sets. Zbl 0191.21701
Hirsch, M.; Palis, J.; Pugh, C.; Shub, M.
86
1970
Complexity of Bezout’s theorem. IV: Probability of success; extensions. Zbl 0843.65035
Shub, Michael; Smale, Steve
81
1996
Complexity of Bezout’s theorem. III: Condition number and packing. Zbl 0846.65018
Shub, Michael; Smale, Steve
80
1993
Hölder foliations. Zbl 0877.58045
Pugh, Charles; Shub, Michael; Wilkinson, Amie
68
1997
Complexity and real computation. Foreword by Richard M. Karp. Zbl 0948.68068
Blum, Leonore; Cucker, Felipe; Shub, Michael; Smale, Steve
67
1997
Pathological foliations and removable zero exponents. Zbl 0976.37013
Shub, Michael; Wilkinson, Amie
64
2000
How many eigenvalues of a random matrix are real? Zbl 0790.15017
Edelman, Alan; Kostlan, Eric; Shub, Michael
62
1994
Complexity of Bezout’s theorem. V: Polynomial time. Zbl 0846.65022
Shub, M.; Smale, S.
62
1994
A remark on the Lefschetz fixed point formula for differentiable maps. Zbl 0291.58014
Shub, M.; Sullivan, D.
62
1974
The \(\Omega\)-stability theorem for flows. Zbl 0212.29102
Pugh, C.; Shub, M.
59
1970
Stabilité globale des systèmes dynamiques. Zbl 0396.58014
Shub, Michael
59
1978
Boundary behavior of interior point algorithms in linear programming. Zbl 0675.90050
Megiddo, Nimrod; Shub, Michael
50
1989
Dynamical systems, filtrations and entropy. Zbl 0305.58014
Shub, M.
49
1974
Expanding endomorphisms of the circle revisited. Zbl 0583.58022
Shub, Michael; Sullivan, Dennis
46
1985
Stably ergodic diffeomorphisms. Zbl 0824.58032
Grayson, Matthew; Pugh, Charles; Shub, Michael
45
1994
Stably ergodic dynamical systems and partial hyperbolicity. Zbl 0883.58025
Pugh, Charles; Shub, Michael
44
1997
Computational complexity: On the geometry of polynomials and a theory of cost. II. Zbl 0625.65036
Shub, M.; Smale, S.
41
1986
Ergodicity of Anosov actions. Zbl 0236.58007
Pugh, Charles; Shub, Michael
41
1972
Newton’s method for overdetermined systems of equations. Zbl 0949.65061
Dedieu, J. P.; Shub, M.
40
2000
Homology theory and dynamical systems. Zbl 0408.58023
Shub, M.; Sullivan, D.
39
1975
Filtrations, decompositions, and explosions. Zbl 0324.58015
Nitecki, Zbigniew; Shub, M.
37
1976
Stable ergodicity and julienne quasi-conformality. Zbl 0964.37017
Pugh, Charles; Shub, Michael
35
2000
Linearization of normally hyperbolic diffeomorphisms and flows. Zbl 0206.25802
Pugh, C.; Shub, M.
31
1970
Complexity of Bezout’s theorem. VI: Geodesics in the condition (number) metric. Zbl 1175.65060
Shub, Michael
30
2009
On the geometry of polynomials and a theory of cost. I. Zbl 0603.65027
Shub, Mike; Smale, Steve
28
1985
Ergodic elements of ergodic actions. Zbl 0225.28009
Pugh, Charles; Shub, Michael
28
1971
Hölder foliations, revisited. Zbl 1259.37024
Pugh, Charles; Shub, Michael; Wilkinson, Amie
26
2012
Some remarks on Bezout’s theorem and complexity theory. Zbl 0811.13021
Shub, Michael
25
1993
Structurally stable diffeomorphisms are dense. Zbl 0265.58003
Shub, Michael
25
1972
Minimizing the discrete logarithmic energy on the sphere: the role of random polynomials. Zbl 1223.31003
Armentano, Diego; Beltrán, Carlos; Shub, Michael
20
2011
Expanding endomorphisms of flat manifolds. Zbl 0157.30403
Epstein, David; Shub, Michael
20
1968
Stable ergodicity and partial hyperbolicity. Zbl 0867.58049
Pugh, Charles; Shub, Michael
19
1996
On the intractability of Hilbert’s Nullstellensatz and an algebraic version of “\(NP\neq P\)?”. Zbl 0882.03040
Shub, Michael; Smale, Steve
19
1995
Can one always lower topological entropy? Zbl 0773.54011
Shub, M.; Weiss, B.
17
1991
Expanding maps. Zbl 0213.50302
Shub, M.
16
1970
Genericity theorems in topological dynamics. Zbl 0341.54053
Palis, J.; Pugh, C.; Shub, M.; Sullivan, D.
16
1975
Unified complexity analysis for Newton LP methods. Zbl 0751.90048
Renegar, James; Shub, Michael
15
1992
On the existence of generally convergent algorithms. Zbl 0595.65048
Shub, Michael; Smale, Steve
15
1986
Separation of complexity classes in Koiran’s weak model. Zbl 0819.68053
Cucker, F.; Shub, M.; Smale, S.
15
1994
Beyond hyperbolicity. Zbl 0247.58008
Shub, M.; Smale, S.
15
1972
Complexity of Bezout’s theorem. VII: Distance estimates in the condition metric. Zbl 1175.65058
Beltrán, Carlos; Shub, Michael
14
2009
Entropy and stability. Zbl 0329.58010
Shub, Mike; Williams, Robert F.
14
1975
Recent results about stable ergodicity. Zbl 1012.37019
Burns, Keith; Pugh, Charles; Shub, Michael; Wilkinson, Amie
13
2001
On simple double zeros and badly conditioned zeros of analytic functions of \(n\) variables. Zbl 0965.65071
Dedieu, Jean-Pierre; Shub, Mike
12
2001
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.
12
1990
All, most, some differentiable dynamical systems. Zbl 1113.37006
Shub, Michael
12
2006
On the curvature of the central path of linear programming theory. Zbl 1119.90370
Dedieu, Jean-Pierre; Malajovich, Gregorio; Shub, Mike
12
2005
Appendix to Smale’s paper: Diagonals and relative equilibria. Zbl 0219.57026
Shub, M.
12
1971
Algebraic settings for the problem ”P\(\neq\)NP?”. Zbl 0856.68068
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
11
1996
Stable manifolds for maps. Zbl 0453.58018
Ruelle, David; Shub, Michael
11
1980
Stable ergodicity. With an appendix by Alexander Starkov. Zbl 1330.37005
Pugh, Charles; Shub, Michael
11
2004
Adaptive step-size selection for homotopy methods to solve polynomial equations. Zbl 1266.65080
Dedieu, Jean-Pierre; Malajovich, Gregorio; Shub, Michael
11
2013
Some linearly induced Morse-Smale systems, the QR algorithm and the Toda lattice. Zbl 0616.58023
Shub, Michael; Vasquez, Alphonse Thomas
10
1987
Random versus deterministic exponents in a rich family of diffeomorphisms. Zbl 1031.37028
Ledrappier, François; Shub, Michael; Simó, Carles; Wilkinson, Amie
10
2003
Periodic points on the \(2\)-sphere. Zbl 1305.37013
Pugh, Charles; Shub, Michael
10
2014
A stable, polynomial-time algorithm for the eigenpair problem. Zbl 1401.65034
Armentano, Diego; Beltrán, Carlos; Bürgisser, Peter; Cucker, Felipe; Shub, Michael
10
2018
Evaluating rational functions: Infinite precision is finite cost and tractable on average. Zbl 0622.68038
Blum, Lenore; Shub, Michael
9
1986
Multihomogeneous Newton methods. Zbl 0951.65049
Dedieu, Jean-Pierre; Shub, Mike
9
2000
Some dynamics of pseudo-Anosov diffeomorphisms. Zbl 0446.57022
Fathi, A.; Shub, M.
9
1979
Convex dynamics and applications. Zbl 1076.37537
Adler, R. L.; Kitchens, B.; Martens, M.; Pugh, C.; Shub, M.; Tresser, C.
9
2005
Morse-Smale diffeomorphisms are unipotent on homology. Zbl 0285.58013
Shub, M.
9
1973
Computing the homology of real projective sets. Zbl 1506.55014
Cucker, Felipe; Krick, Teresa; Shub, Michael
9
2018
Stably ergodic approximation: Two examples. Zbl 0970.37022
Shub, Michael; Wilkinson, Amie
8
2000
The Newtonian graph of a complex polynomial. Zbl 0653.58013
Shub, Michael; Tischler, David; Williams, Robert F.
8
1988
Comparison of two pseudo-random number generators. Zbl 0543.68031
Blum, Leonore; Blum, Manuel; Shub, Michael
7
1983
Convexity properties of the condition number. Zbl 1203.15002
Beltrán, Carlos; Dedieu, Jean-Pierre; Malajovich, Gregorio; Shub, Mike
7
2010
Condition length and complexity for the solution of polynomial systems. Zbl 1358.65031
Armentano, Diego; Beltrán, Carlos; Bürgisser, Peter; Cucker, Felipe; Shub, Michael
6
2016
Entropy of a differentiable map. Zbl 0414.58027
Sacksteder, Richard; Shub, M.
6
1978
Average condition number for solving linear equations. Zbl 0603.65025
Weiss, N.; Wasilkowski, G. W.; Woźniakowski, H.; Shub, M.
5
1986
The existence of Morse-Smale diffeomorphisms. Zbl 0472.58013
Franks, John; Shub, Michael
5
1981
Topology and mechanics. Zbl 0233.57018
Smale, S.
5
1972
A note on the finite variance of the averaging function for polynomial system solving. Zbl 1192.65055
Beltrán, Carlos; Shub, Michael
5
2010
What is …a horseshoe? Zbl 1078.37509
Shub, Michael
5
2005
Stable ergodicity in homogeneous spaces. Zbl 0896.58040
Brezin, Jonathan; Shub, Michael
4
1997
Newton flow and interior point methods in linear programming. Zbl 1079.90156
Dedieu, Jean-Pierre; Shub, Mike
4
2005
Stability and genericity for diffeomorphisms. Zbl 0289.58013
Shub, M.
4
1973
Expanding maps of the circle rerevisited: positive Lyapunov exponents in a rich family. Zbl 1216.37013
Pujals, Enrique R.; Robert, Leonel; Shub, Michael
4
2006
Dynamics of two-dimensional Blaschke products. Zbl 1143.37034
Pujals, Enrique R.; Shub, Michael
4
2008
Partial differentiability of invariant splittings. Zbl 1061.37021
Pugh, Charles; Shub, Michael; Wilkinson, Amie
4
2004
Alexander cocycles and dynamics. Zbl 0399.58013
Shub, M.
4
1978
Entropy, linearity and chain-recurrence. Zbl 0423.58010
Fried, David; Shub, Michael
4
1979
Convexity properties of the condition number. II. Zbl 1269.53053
Beltrán, Carlos; Dedieu, Jean-Pierre; Malajovich, Gregorio; Shub, Mike
4
2012
Foundations of computational mathematics. Selected papers of a conference, held at IMPA in Rio de Janeiro, Brazil, January 1997. Zbl 0857.00037
3
1997
Generalized Knapsack problems and fixed degree separations. Zbl 0900.68212
Cucker, Felipe; Shub, Michael
3
1996
\(C^r\) stability of periodic solutions and solution schemes. Zbl 0703.58025
Pugh, Charles; Shub, Michael
3
1988
Suspending subshifts. Zbl 0585.58034
Pugh, Charles C.; Shub, Michael
3
1981
Periodic orbits of hyperbolic diffeomorphisms and flows. Zbl 0198.29102
Shub, M.
3
1969
Axiom A actions. Zbl 0315.58017
Pugh, Charles; Shub, Michael
3
1975
Entropy on sphere bundles. Zbl 0391.58018
Sacksteder, Richard; Shub, M.
3
1978
Stable and non-symmetric pitchfork bifurcations. Zbl 1456.34038
Pujals, Enrique; Shub, Michael; Yang, Yun
1
2020
A stable, polynomial-time algorithm for the eigenpair problem. Zbl 1401.65034
Armentano, Diego; Beltrán, Carlos; Bürgisser, Peter; Cucker, Felipe; Shub, Michael
10
2018
Computing the homology of real projective sets. Zbl 1506.55014
Cucker, Felipe; Krick, Teresa; Shub, Michael
9
2018
Condition length and complexity for the solution of polynomial systems. Zbl 1358.65031
Armentano, Diego; Beltrán, Carlos; Bürgisser, Peter; Cucker, Felipe; Shub, Michael
6
2016
Periodic points on the \(2\)-sphere. Zbl 1305.37013
Pugh, Charles; Shub, Michael
10
2014
Smale’s fundamental theorem of algebra reconsidered. Zbl 1316.65050
Armentano, Diego; Shub, Michael
1
2014
Adaptive step-size selection for homotopy methods to solve polynomial equations. Zbl 1266.65080
Dedieu, Jean-Pierre; Malajovich, Gregorio; Shub, Michael
11
2013
The complexity and geometry of numerically solving polynomial systems. Zbl 1317.65001
Beltrán, Carlos; Shub, Michael
3
2013
Hölder foliations, revisited. Zbl 1259.37024
Pugh, Charles; Shub, Michael; Wilkinson, Amie
26
2012
Convexity properties of the condition number. II. Zbl 1269.53053
Beltrán, Carlos; Dedieu, Jean-Pierre; Malajovich, Gregorio; Shub, Mike
4
2012
On the geometry and topology of the solution variety for polynomial system solving. Zbl 1295.37010
Beltrán, Carlos; Shub, Michael
3
2012
Minimizing the discrete logarithmic energy on the sphere: the role of random polynomials. Zbl 1223.31003
Armentano, Diego; Beltrán, Carlos; Shub, Michael
20
2011
Convexity properties of the condition number. Zbl 1203.15002
Beltrán, Carlos; Dedieu, Jean-Pierre; Malajovich, Gregorio; Shub, Mike
7
2010
A note on the finite variance of the averaging function for polynomial system solving. Zbl 1192.65055
Beltrán, Carlos; Shub, Michael
5
2010
Complexity of Bezout’s theorem. VI: Geodesics in the condition (number) metric. Zbl 1175.65060
Shub, Michael
30
2009
Complexity of Bezout’s theorem. VII: Distance estimates in the condition metric. Zbl 1175.65058
Beltrán, Carlos; Shub, Michael
14
2009
Dynamics of two-dimensional Blaschke products. Zbl 1143.37034
Pujals, Enrique R.; Shub, Michael
4
2008
All, most, some differentiable dynamical systems. Zbl 1113.37006
Shub, Michael
12
2006
Expanding maps of the circle rerevisited: positive Lyapunov exponents in a rich family. Zbl 1216.37013
Pujals, Enrique R.; Robert, Leonel; Shub, Michael
4
2006
Unique ergodicity, stable ergodicity, and the Mautner phenomenon for diffeomorphisms. Zbl 1094.53078
Pugh, Charles; Shub, Michael; Starkov, Alexander
1
2006
On the curvature of the central path of linear programming theory. Zbl 1119.90370
Dedieu, Jean-Pierre; Malajovich, Gregorio; Shub, Mike
12
2005
Convex dynamics and applications. Zbl 1076.37537
Adler, R. L.; Kitchens, B.; Martens, M.; Pugh, C.; Shub, M.; Tresser, C.
9
2005
What is …a horseshoe? Zbl 1078.37509
Shub, Michael
5
2005
Newton flow and interior point methods in linear programming. Zbl 1079.90156
Dedieu, Jean-Pierre; Shub, Mike
4
2005
Stable ergodicity. With an appendix by Alexander Starkov. Zbl 1330.37005
Pugh, Charles; Shub, Michael
11
2004
Partial differentiability of invariant splittings. Zbl 1061.37021
Pugh, Charles; Shub, Michael; Wilkinson, Amie
4
2004
Random versus deterministic exponents in a rich family of diffeomorphisms. Zbl 1031.37028
Ledrappier, François; Shub, Michael; Simó, Carles; Wilkinson, Amie
10
2003
Implicit gamma theorems. I: Pseudoroots and pseudospectra. Zbl 1036.65048
Dedieu, Jean-Pierre; Kim, Myong-Hi; Shub, Michael; Tisseur, Françoise
1
2003
On random and mean exponents for unitarily invariant probability measures on \(\text{GL}_n(\mathbb C)\). Zbl 1213.37083
Dedieu, Jean-Pierre; Shub, Mike
1
2003
Newton’s method on Riemannian manifolds and a geometric model for the human spine. Zbl 1056.92002
Adler, Roy L.; Dedieu, Jean-Pierre; Margulies, Joseph Y.; Martens, Marco; Shub, Mike
122
2002
Recent results about stable ergodicity. Zbl 1012.37019
Burns, Keith; Pugh, Charles; Shub, Michael; Wilkinson, Amie
13
2001
On simple double zeros and badly conditioned zeros of analytic functions of \(n\) variables. Zbl 0965.65071
Dedieu, Jean-Pierre; Shub, Mike
12
2001
Pathological foliations and removable zero exponents. Zbl 0976.37013
Shub, Michael; Wilkinson, Amie
64
2000
Newton’s method for overdetermined systems of equations. Zbl 0949.65061
Dedieu, J. P.; Shub, M.
40
2000
Stable ergodicity and julienne quasi-conformality. Zbl 0964.37017
Pugh, Charles; Shub, Michael
35
2000
Multihomogeneous Newton methods. Zbl 0951.65049
Dedieu, Jean-Pierre; Shub, Mike
9
2000
Stably ergodic approximation: Two examples. Zbl 0970.37022
Shub, Michael; Wilkinson, Amie
8
2000
Hölder foliations. Zbl 0877.58045
Pugh, Charles; Shub, Michael; Wilkinson, Amie
68
1997
Complexity and real computation. Foreword by Richard M. Karp. Zbl 0948.68068
Blum, Leonore; Cucker, Felipe; Shub, Michael; Smale, Steve
67
1997
Stably ergodic dynamical systems and partial hyperbolicity. Zbl 0883.58025
Pugh, Charles; Shub, Michael
44
1997
Stable ergodicity in homogeneous spaces. Zbl 0896.58040
Brezin, Jonathan; Shub, Michael
4
1997
Foundations of computational mathematics. Selected papers of a conference, held at IMPA in Rio de Janeiro, Brazil, January 1997. Zbl 0857.00037
3
1997
Stable ergodicity and stable accessibility. Zbl 0995.37018
Pugh, Charles; Shub, Michael
2
1997
Complexity and real computation: A manifesto. Zbl 0872.68036
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
179
1996
Complexity of Bezout’s theorem. IV: Probability of success; extensions. Zbl 0843.65035
Shub, Michael; Smale, Steve
81
1996
Stable ergodicity and partial hyperbolicity. Zbl 0867.58049
Pugh, Charles; Shub, Michael
19
1996
Algebraic settings for the problem ”P\(\neq\)NP?”. Zbl 0856.68068
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
11
1996
Generalized Knapsack problems and fixed degree separations. Zbl 0900.68212
Cucker, Felipe; Shub, Michael
3
1996
The mathematics of numerical analysis. 1995 AMS-SIAM summer seminar in applied mathematics, July 17–August 11, 1995, Park City, UT, USA. Zbl 0852.00035
2
1996
Stably ergodic skew products. Zbl 0989.37019
Adler, Roy; Kitchens, Bruce; Shub, Michael
2
1996
On the intractability of Hilbert’s Nullstellensatz and an algebraic version of “\(NP\neq P\)?”. Zbl 0882.03040
Shub, Michael; Smale, Steve
19
1995
How many eigenvalues of a random matrix are real? Zbl 0790.15017
Edelman, Alan; Kostlan, Eric; Shub, Michael
62
1994
Complexity of Bezout’s theorem. V: Polynomial time. Zbl 0846.65022
Shub, M.; Smale, S.
62
1994
Stably ergodic diffeomorphisms. Zbl 0824.58032
Grayson, Matthew; Pugh, Charles; Shub, Michael
45
1994
Separation of complexity classes in Koiran’s weak model. Zbl 0819.68053
Cucker, F.; Shub, M.; Smale, S.
15
1994
Mysteries of mathematics and computation. Zbl 0806.68037
Shub, Michael
1
1994
Complexity of Bezout’s theorem. I: Geometric aspects. Zbl 0821.65035
Shub, Michael; Smale, Steve
117
1993
Complexity of Bezout’s theorem. II: Volumes and probabilities. Zbl 0851.65031
Shub, M.; Smale, S.
106
1993
Complexity of Bezout’s theorem. III: Condition number and packing. Zbl 0846.65018
Shub, Michael; Smale, Steve
80
1993
Some remarks on Bezout’s theorem and complexity theory. Zbl 0811.13021
Shub, Michael
25
1993
From topology to computation: Proceedings of the Smalefest. Papers presented at the conference ”From topology to computation: Unity and diversity in the mathematical sciences” held at the University of California at Berkeley, USA, August 5-9, 1990 in honor of Stephen Smale’s 60th birthday. Zbl 0779.00016
2
1993
On the work of Steve Smale on the theory of computation. Zbl 0812.68041
Shub, Michael
2
1993
Unified complexity analysis for Newton LP methods. Zbl 0751.90048
Renegar, James; Shub, Michael
15
1992
Can one always lower topological entropy? Zbl 0773.54011
Shub, M.; Weiss, B.
17
1991
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.
12
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
332
1989
Ergodic attractors. Zbl 0684.58008
Pugh, Charles; Shub, Michael
87
1989
Boundary behavior of interior point algorithms in linear programming. Zbl 0675.90050
Megiddo, Nimrod; Shub, Michael
50
1989
On the distance to the zero set of a homogeneous polynomial. Zbl 0691.12006
Shub, Michael
2
1989
The Newtonian graph of a complex polynomial. Zbl 0653.58013
Shub, Michael; Tischler, David; Williams, Robert F.
8
1988
\(C^r\) stability of periodic solutions and solution schemes. Zbl 0703.58025
Pugh, Charles; Shub, Michael
3
1988
Global stability of dynamical systems. With the collab. of Albert Fathi and Remi Langevin. Transl. from the French by Joseph Christy. Zbl 0606.58003
Shub, Michael
276
1987
Some linearly induced Morse-Smale systems, the QR algorithm and the Toda lattice. Zbl 0616.58023
Shub, Michael; Vasquez, Alphonse Thomas
10
1987
On the asymptotic behavior of the projective rescaling algorithm for linear programming. Zbl 0713.90049
Shub, Michael
1
1987
A simple unpredictable pseudo-random number generator. Zbl 0602.65002
Blum, L.; Blum, M.; Shub, M.
93
1986
Computational complexity: On the geometry of polynomials and a theory of cost. II. Zbl 0625.65036
Shub, M.; Smale, S.
41
1986
On the existence of generally convergent algorithms. Zbl 0595.65048
Shub, Michael; Smale, Steve
15
1986
Evaluating rational functions: Infinite precision is finite cost and tractable on average. Zbl 0622.68038
Blum, Lenore; Shub, Michael
9
1986
Average condition number for solving linear equations. Zbl 0603.65025
Weiss, N.; Wasilkowski, G. W.; Woźniakowski, H.; Shub, M.
5
1986
Expanding endomorphisms of the circle revisited. Zbl 0583.58022
Shub, Michael; Sullivan, Dennis
46
1985
On the geometry of polynomials and a theory of cost. I. Zbl 0603.65027
Shub, Mike; Smale, Steve
28
1985
The integral homology of Smale diffeomorphisms. Zbl 0595.58025
Maller, M.; Shub, M.
2
1985
Comparison of two pseudo-random number generators. Zbl 0543.68031
Blum, Leonore; Blum, Manuel; Shub, Michael
7
1983
On the average cost of solving polynomial equations. Zbl 0529.41008
Shub, Mike; Smale, Steve
2
1983
The existence of Morse-Smale diffeomorphisms. Zbl 0472.58013
Franks, John; Shub, Michael
5
1981
Suspending subshifts. Zbl 0585.58034
Pugh, Charles C.; Shub, Michael
3
1981
Stable manifolds for maps. Zbl 0453.58018
Ruelle, David; Shub, Michael
11
1980
Differentiability and continuity of invariant manifolds. Zbl 0476.58017
Pugh, C. C.; Shub, M.
2
1980
Some dynamics of pseudo-Anosov diffeomorphisms. Zbl 0446.57022
Fathi, A.; Shub, M.
9
1979
Entropy, linearity and chain-recurrence. Zbl 0423.58010
Fried, David; Shub, Michael
4
1979
Stabilité globale des systèmes dynamiques. Zbl 0396.58014
Shub, Michael
59
1978
Entropy of a differentiable map. Zbl 0414.58027
Sacksteder, Richard; Shub, M.
6
1978
Alexander cocycles and dynamics. Zbl 0399.58013
Shub, M.
4
1978
Entropy on sphere bundles. Zbl 0391.58018
Sacksteder, Richard; Shub, M.
3
1978
Invariant manifolds. Zbl 0355.58009
Hirsch, M. W.; Pugh, C. C.; Shub, M.
985
1977
Filtrations, decompositions, and explosions. Zbl 0324.58015
Nitecki, Zbigniew; Shub, M.
37
1976
Homology theory and dynamical systems. Zbl 0408.58023
Shub, M.; Sullivan, D.
39
1975
Genericity theorems in topological dynamics. Zbl 0341.54053
Palis, J.; Pugh, C.; Shub, M.; Sullivan, D.
16
1975
Entropy and stability. Zbl 0329.58010
Shub, Mike; Williams, Robert F.
14
1975
Axiom A actions. Zbl 0315.58017
Pugh, Charles; Shub, Michael
3
1975
...and 20 more Documents
all top 5

Cited by 3,182 Authors

42 Shub, Michael
40 Cucker, Felipe
35 Morales Rojas, Carlos Arnoldo
28 de la Llave, Rafael
27 Beltrán, Carlos E.
26 Llibre, Jaume
23 Meer, Klaus
20 Bonatti, Christian
20 Grines, Vyacheslav Zigmundovich
20 Li, Chong
19 Bürgisser, Peter
19 Koiran, Pascal
19 Pochinka, Ol’ga Vital’evna
18 Viana, Marcelo
17 Gan, Shaobo
17 Pardo, Luis Miguel
17 Varandas, Paulo
17 Yang, Jiagang
16 Zhuzhoma, Evgeniĭ Viktorovich
15 Hammerlindl, Andy
14 Araújo, Vítor
14 Bessa, Mário
14 Gogolev, Andrey
14 Lu, Kening
14 Potrie, Rafael
14 Pugh, Charles Chapman
14 Pujals, Enrique Ramiro
14 Valls Anglés, Cláudia
13 Basu, Saugata
13 Berger, Pierre
13 Dedieu, Jean-Pierre
13 Ferreira, Orizon Pereira
13 Graff, Grzegorz
13 Jezierski, Jerzy
13 Wang, Jinhua
12 Crovisier, Sylvain
12 Liu, Weishi
12 Malajovich, Gregorio
12 Pesin, Yakov Borisovich
12 Robinson, Clark
12 Rodriguez-Hertz, Federico
12 Shi, Yi
12 Tahzibi, Ali
12 Ures, Raúl
12 Wilkinson, Amie
12 Yang, Dawei
12 Zhang, Weinian
11 Argyros, Ioannis Konstantinos
11 Armentano, Diego
11 Breiding, Paul
11 Cao, Yongluo
11 Díaz, Lorenzo Justiniano
11 Katok, Anatole
11 Lee, Manseob
11 Young, Lai-Sang
10 Arbieto, Alexander
10 Gidea, Marian
10 Medvedev, Vladislav Sergeevich
10 Pacifico, Maria José
10 Rodriguez Hertz, Jana
10 Ruelle, David Pierre
10 Smale, Stephen
10 Zhang, Jinhua
9 Absil, Pierre-Antoine
9 Avila, Artur
9 Block, Louis Stuart
9 Bournez, Olivier
9 Carrasco, Pablo D.
9 Gorodetskii, Anton Semenovich
9 Hu, Huyi
9 Lerario, Antonio
9 Rojas, J. Maurice
9 Rovella, Alvaro
9 Terlaky, Tamás
9 Yao, Jen-Chih
8 Barreira, Luis Manuel
8 Bochi, Jairo
8 Gelfert, Katrin Grit
8 Hurley, Mike
8 Kleptsyn, Victor A.
8 Kühn, Christian
8 Lerman, Lev
8 Lyubich, Mikhail
8 Mañé, Ricardo
8 Poquet, Christophe
8 Portela, Aldo
8 Sell, George Roger
8 Sirvent, Víctor F.
8 Spatzier, Ralf J.
8 Turaev, Dmitry V.
8 Wiggins, Stephen R.
8 Zhu, Yujun
7 Arnaud, Marie-Claude
7 Asaoka, Masayuki
7 Bowen, Rufus
7 Damjanović, Danijela
7 Efimov, Denis V.
7 Farrell, F. Thomas
7 Fisher, Todd L.
7 Fontich, Ernest
...and 3,082 more Authors
all top 5

Cited in 470 Serials

143 Journal of Differential Equations
129 Ergodic Theory and Dynamical Systems
106 Journal of Complexity
101 Transactions of the American Mathematical Society
93 Theoretical Computer Science
77 Proceedings of the American Mathematical Society
69 Communications in Mathematical Physics
68 Physica D
65 Discrete and Continuous Dynamical Systems
50 Inventiones Mathematicae
46 Nonlinearity
46 Journal of Dynamics and Differential Equations
45 Topology and its Applications
44 Foundations of Computational Mathematics
39 Mathematical Programming. Series A. Series B
37 Advances in Mathematics
36 Journal of Mathematical Analysis and Applications
33 Israel Journal of Mathematics
30 Mathematics of Computation
28 Journal of Computational and Applied Mathematics
28 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
28 Journal of Symbolic Computation
26 Mathematische Zeitschrift
25 Journal of Modern Dynamics
22 Journal of Statistical Physics
22 Publications Mathématiques
21 Bulletin of the American Mathematical Society. New Series
21 SIAM Journal on Optimization
21 SIAM Journal on Applied Dynamical Systems
20 Journal of Mathematical Sciences (New York)
20 Journal of Difference Equations and Applications
19 Annales de l’Institut Fourier
19 Applied Mathematics and Computation
19 Regular and Chaotic Dynamics
19 Qualitative Theory of Dynamical Systems
19 Dynamical Systems
18 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
18 Linear Algebra and its Applications
18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
18 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 Journal of Mathematical Biology
16 Chaos, Solitons and Fractals
16 Journal of Optimization Theory and Applications
16 Chaos
15 Archive for Rational Mechanics and Analysis
14 Computers & Mathematics with Applications
14 Duke Mathematical Journal
14 Annales Henri Poincaré
13 Mathematical Notes
13 Journal of Computer and System Sciences
13 Optimization
13 Journal of Nonlinear Science
13 Annals of Mathematics. Second Series
13 Journal of the European Mathematical Society (JEMS)
13 Acta Mathematica Sinica. English Series
13 Bulletin of the American Mathematical Society
13 Journal of Fixed Point Theory and Applications
12 Journal of the American Mathematical Society
11 Functional Analysis and its Applications
11 Geometriae Dedicata
11 Mathematische Annalen
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Information and Computation
11 Theory of Computing Systems
11 Journal of Dynamical and Control Systems
11 Stochastics and Dynamics
11 Nonlinear Analysis. Theory, Methods & Applications
10 Journal of Mathematical Physics
10 Journal of Pure and Applied Algebra
10 Journal of Global Optimization
10 Numerical Algorithms
9 Journal d’Analyse Mathématique
9 Journal of Functional Analysis
9 Numerische Mathematik
9 Discrete & Computational Geometry
9 Celestial Mechanics and Dynamical Astronomy
9 Communications in Nonlinear Science and Numerical Simulation
9 Bulletin of the Brazilian Mathematical Society. New Series
9 Science China. Mathematics
8 Information Processing Letters
8 Commentarii Mathematici Helvetici
8 Monatshefte für Mathematik
8 Annals of Pure and Applied Logic
8 SIAM Journal on Matrix Analysis and Applications
8 Computational Complexity
8 Proceedings of the Steklov Institute of Mathematics
7 The Mathematical Intelligencer
7 Acta Mathematica
7 Journal of Cryptology
7 Annals of Operations Research
7 Indagationes Mathematicae. New Series
7 Boletim da Sociedade Brasileira de Matemática. Nova Série
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Computational Optimization and Applications
7 Journal of the Institute of Mathematics of Jussieu
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Boletim da Sociedade Brasileira de Matemática
6 Journal of the Korean Mathematical Society
6 Numerical Functional Analysis and Optimization
6 Advances in Applied Mathematics
...and 370 more Serials
all top 5

Cited in 62 Fields

1,672 Dynamical systems and ergodic theory (37-XX)
415 Computer science (68-XX)
399 Numerical analysis (65-XX)
331 Ordinary differential equations (34-XX)
200 Operations research, mathematical programming (90-XX)
150 Probability theory and stochastic processes (60-XX)
148 Manifolds and cell complexes (57-XX)
137 Mathematical logic and foundations (03-XX)
133 Global analysis, analysis on manifolds (58-XX)
130 Differential geometry (53-XX)
129 Partial differential equations (35-XX)
127 Algebraic geometry (14-XX)
127 Mechanics of particles and systems (70-XX)
106 Linear and multilinear algebra; matrix theory (15-XX)
101 General topology (54-XX)
99 Functions of a complex variable (30-XX)
92 Operator theory (47-XX)
84 Information and communication theory, circuits (94-XX)
83 Biology and other natural sciences (92-XX)
81 Number theory (11-XX)
77 Field theory and polynomials (12-XX)
72 Measure and integration (28-XX)
70 Several complex variables and analytic spaces (32-XX)
60 Calculus of variations and optimal control; optimization (49-XX)
57 Algebraic topology (55-XX)
55 Statistical mechanics, structure of matter (82-XX)
48 Topological groups, Lie groups (22-XX)
46 Real functions (26-XX)
45 Systems theory; control (93-XX)
43 Combinatorics (05-XX)
41 Quantum theory (81-XX)
38 Commutative algebra (13-XX)
37 Group theory and generalizations (20-XX)
36 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
34 Convex and discrete geometry (52-XX)
34 Fluid mechanics (76-XX)
32 Difference and functional equations (39-XX)
24 Functional analysis (46-XX)
23 Statistics (62-XX)
19 Relativity and gravitational theory (83-XX)
17 Potential theory (31-XX)
12 General and overarching topics; collections (00-XX)
12 History and biography (01-XX)
12 Approximations and expansions (41-XX)
12 Geometry (51-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
10 Classical thermodynamics, heat transfer (80-XX)
8 Category theory; homological algebra (18-XX)
8 Special functions (33-XX)
8 Optics, electromagnetic theory (78-XX)
7 Associative rings and algebras (16-XX)
6 Nonassociative rings and algebras (17-XX)
6 Mechanics of deformable solids (74-XX)
5 \(K\)-theory (19-XX)
4 Integral equations (45-XX)
4 Astronomy and astrophysics (85-XX)
4 Geophysics (86-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Integral transforms, operational calculus (44-XX)
2 Abstract harmonic analysis (43-XX)
1 General algebraic systems (08-XX)
1 Sequences, series, summability (40-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.