SU\G(𝔾)/K·U

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All published works (67)

Action Title Date Authors
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The Pitchfork Bifurcation 2017-08-01 Indika Rajapakse Steve Smale
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Emergence of Function 2016-10-12 Indika Rajapakse Steve Smale
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Emergence of Function 2016-01-01 Indika Rajapakse Steve Smale
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Dynamics of the Genome 2015-10-01 Indika Rajapakse Steve Smale
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Mathematics of the Genome 2015-10-01 Indika Rajapakse Steve Smale
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Mathematics of the Genome 2015-01-01 Indika Rajapakse Steve Smale
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ABSTRACT AND CLASSICAL HODGE–DE RHAM THEORY 2012-01-01 Nat Smale Steve Smale
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Hodge Theory on Metric Spaces 2011-11-28 Laurent Bartholdi Thomas Schick Nat Smale Steve Smale
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Stability and Isotopy in Discrete Dynamical Systems 2010-03-11 Steve Smale
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Geometry on Probability Spaces 2009-09-30 Steve Smale Ding‐Xuan Zhou
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ONLINE LEARNING WITH MARKOV SAMPLING 2009-01-01 Steve Smale Ding‐Xuan Zhou
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Learning Theory Estimates via Integral Operators and Their Approximations 2007-03-15 Steve Smale Ding‐Xuan Zhou
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Real‐Valued Computation and Complexity 2005-12-20 Felipe Cucker Steve Smale
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Shannon sampling II: Connections to learning theory 2005-08-04 Steve Smale Ding‐Xuan Zhou
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Shannon sampling and function reconstruction from point values 2004-04-13 Steve Smale Ding‐Xuan Zhou
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ESTIMATING THE APPROXIMATION ERROR IN LEARNING THEORY 2003-01-01 Steve Smale Ding‐Xuan Zhou
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COMPLEXITY OF BEZOUT'S THEOREM. I: GEOMETRIC ASPECTS 2000-06-01 Michael Shub Steve Smale
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SOME REMARKS ON THE FOUNDATIONS OF NUMERICAL ANALYSIS 2000-06-01 Steve Smale
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Algebraic Settings for the Problem “P ≠ NP?” 2000-06-01 Lenore Blum Felipe Cucker M. Shub Steve Smale
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COMPLEXITY OF BEZOUT'S THEOREM IV: PROBABILITY OF SUCCESS; EXTENSIONS 2000-06-01 Michael Shub Steve Smale
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ON THE INTRACTABILITY OF HILBERT'S NULLSTELLENSATZ AND AN ALGEBRAIC VERSION OF “NP ≠ P?” 2000-06-01 Michael Shub Steve Smale
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Mathematical Problems for the Next Century 2000-06-01 Steve Smale
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Some Lower Bounds for the Complexity of Continuation Methods 2000-06-01 Jean‐Pierre Dedieu Steve Smale
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The Story of the Higher Dimensional Poincaré Conjecture (What Actually Happened on the Beaches of Rio) 2000-06-01 Steve Smale
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THE FUNDAMENTAL THEOREM OF ALGEBRA AND COMPLEXITY THEORY 2000-06-01 Steve Smale
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AN APPROACH TO THE ANALYSIS OF DYNAMIC PROCESSES IN ECONOMIC SYSTEMS 2000-06-01 Steve Smale
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On the Existence of Generally Convergent Algorithms 2000-06-01 Michael Shub Steve Smale
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COMPUTATIONAL COMPLEXITY: On the geometry of polynomials and a theory of cost: Part I 2000-06-01 M. Shub Steve Smale
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Algorithms for Solving Equations 2000-06-01 Steve Smale
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Some Lower Bounds for the Complexity of Continuation Methods 1998-12-01 Jean‐Pierre Dedieu Steve Smale
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Mathematical problems for the next century 1998-03-01 Steve Smale
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BĂ©zout’s Theorem 1998-01-01 Lenore Blum Felipe Cucker Michael Shub Steve Smale
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Computation over a Ring 1998-01-01 Lenore Blum Felipe Cucker Michael Shub Steve Smale
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Algebraic Settings for the Problem “P ≠ NP?” 1998-01-01 Lenore Blum Felipe Cucker Michael Shub Steve Smale
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The Condition Number for Nonlinear Problems 1998-01-01 Lenore Blum Felipe Cucker Michael Shub Steve Smale
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Condition Numbers and the Loss of Precision of Linear Equations 1998-01-01 Lenore Blum Felipe Cucker Michael Shub Steve Smale
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Linear Programming 1998-01-01 Lenore Blum Felipe Cucker Michael Shub Steve Smale
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Fundamental Theorem of Algebra: Complexity Aspects 1998-01-01 Lenore Blum Felipe Cucker Michael Shub Steve Smale
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Complexity theory and numerical analysis 1997-01-01 Steve Smale
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Complexity of Bezout’s Theorem IV: Probability of Success; Extensions 1996-02-01 Michael Shub Steve Smale
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On the intractability of Hilbert’s Nullstellensatz and an algebraic version of “NP≠P?” 1995-01-01 Michael Shub Steve Smale
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Complexity of Bezout's Theorem I: Geometric Aspects 1993-04-01 Michael Shub Steve Smale
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Complexity of Bezoutâ€Čs Theorem 1993-03-01 Michael Shub Steve Smale
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The Gödel Incompleteness Theorem and Decidability over a Ring 1993-01-01 Lenore Blum Steve Smale
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Complexity of BĂ©zout’s theorem. I. Geometric aspects 1993-01-01 Michael Shub Steve Smale
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Professional Biography, Bibliography, and Graduate Students 1993-01-01 Steve Smale
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The Story of the Higher Dimensional Poincaré Conjecture (What Actually Happened on the Beaches of Rio) 1993-01-01 Steve Smale
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On the Steps of Moscow University 1993-01-01 Steve Smale
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On How I Got Started In Dynamical Systems, 1959–1962 1993-01-01 Steve Smale
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Dynamics retrospective: great problems, attempts that failed 1991-08-01 Steve Smale

Common Coauthors

Coauthor Papers Together
Michael Shub 17
Lenore Blum 11
Felipe Cucker 9
Indika Rajapakse 6
Ding‐Xuan Zhou 6
M. Shub 5
Nat Smale 2
Jean‐Pierre Dedieu 2
Thomas Schick 1
Laurent Bartholdi 1

Commonly Cited References

Action Title Date Authors # of times referenced
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The fundamental theorem of algebra and complexity theory 1981-01-01 Steve Smale 13
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On a theory of computation and complexity over the real numbers: 𝑁𝑃- completeness, recursive functions and universal machines 1989-01-01 Lenore Blum M. Shub Steve Smale 9
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On the Efficiency of Newton's Method in Approximating All Zeros of a System of Complex Polynomials 1987-02-01 James Renegar 9
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On the efficiency of algorithms of analysis 1985-10-01 Steve Smale 8
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<i>Computational Complexity</i>: On the Geometry of Polynomials and a Theory of Cost: II 1986-02-01 M. Shub S. Smale 8
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Differentiable Dynamical Systems 1980-01-01 Steve Smale 8
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Bounds for the Degrees in the Nullstellensatz 1987-11-01 W. Dale Brownawell 6
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Differentiable dynamical systems 1967-01-01 Stephen T. Smale 6
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On Algorithms for Solving <i>f(x)</i>=0 1979-05-01 Morris W. Hirsch Stephen T. Smale 6
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On condition numbers and the distance to the nearest ill-posed problem 1987-05-01 James Demmel 5
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Newton’s Method Estimates from Data at One Point 1986-01-01 Steve Smale 5
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Some Remarks on Bezout’s Theorem and Complexity Theory 1993-01-01 Michael Shub 4
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ESTIMATING THE APPROXIMATION ERROR IN LEARNING THEORY 2003-01-01 Steve Smale Ding‐Xuan Zhou 4
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Shannon sampling and function reconstruction from point values 2004-04-13 Steve Smale Ding‐Xuan Zhou 4
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The Solution of Systems of Piecewise Linear Equations 1976-02-01 B. Curtis Eaves Herbert E. Scarf 4
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields 1983-01-01 John Guckenheimer Philip Holmes 4
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Some Remarks on the Foundations of Numerical Analysis 1990-06-01 Steve Smale 4
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Complexity of BĂ©zout’s theorem. I. Geometric aspects 1993-01-01 Michael Shub Steve Smale 4
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A survey of some recent developments in differential topology 1963-01-01 Stephen T. Smale 3
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Linear Programming and Extensions 1963-01-01 George B. Dantzig 3
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Optimum Bounds for the Distributions of Martingales in Banach Spaces 1994-10-01 Iosif Pinelis 3
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Shannon sampling II: Connections to learning theory 2005-08-04 Steve Smale Ding‐Xuan Zhou 3
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DYNAMICAL SYSTEMS AND THE TOPOLOGICAL CONJUGACY PROBLEM FOR DIFFEOMORPHISMS 2010-03-12 Stephen T. Smale 3
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Complexity of Bezoutâ€Čs Theorem 1993-03-01 Michael Shub Steve Smale 3
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Spline Models for Observational Data. 1991-09-01 Hans‐Georg MĂŒller Grace Wahba 3
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On the nature of turbulence 1971-09-01 David Ruelle Floris Takens 3
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The Problem of the Average Speed of the Simplex Method 1983-01-01 Stephen T. Smale 3
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Numerical stability for solving nonlinear equations 1976-12-01 H. WoĆșniakowski 3
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Deterministic Nonperiodic Flow 1963-03-01 Edward N. Lorenz 3
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A Decision Method for Elementary Algebra and Geometry 1951-12-31 Alfred Tarski J. C. C. McKinsey 3
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The Probability That a Numerical Analysis Problem is Difficult 1988-04-01 James Demmel 3
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On the nature of turbulence 1971-12-01 David Ruelle Floris Takens 3
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Complex analytic dynamics on the Riemann sphere 1984-01-01 Paul Blanchard 3
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Diffeomorphisms with Many Periodic Points 1965-12-31 Stephen T. Smale 3
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Capacity of reproducing kernel spaces in learning theory 2003-06-23 Ding‐Xuan Zhou 3
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Differential and Combinatorial Topology 1965-12-31 Stewart S. Cairns 3
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Structural stability on two-dimensional manifolds 1962-04-01 M. M. Peixoto 3
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Geometry of Polynomials 1949-12-31 Morris Marden 2
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Potential theory in modern function theory 1959-01-01 æ­ŁæŹĄ 蟻 2
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Arithmetic on curves 1986-01-01 Barry Mazur 2
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Global Stability of Dynamical Systems 1987-01-01 Michael Shub 2
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Mathematical Developments Arising from Hilbert Problems 1976-01-01 Felix E. Browder 2
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A simple homotopy method for determining all isolated solutions to polynomial systems 1988-01-01 Walter Zulehner 2
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Proving simultaneous positivity of linear forms 1972-12-01 Michael O. Rabin 2
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Snakes: Oriented families of periodic orbits, their sources, sinks, and continuation 1982-03-01 John Mallet‐Paret James A. Yorke 2
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Diophantine Sets Over Z[ T ] 1978-04-01 Jan Denef 2
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Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms 1975-01-01 Rufus Bowen 2
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ON SMOOTH MAPPINGS OF THE CIRCLE INTO ITSELF 1971-02-28 Michael Jakobson 2
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Complexity theory on real numbers and functions 2006-01-25 Christoph Kreitz Klaus Weihrauch 2
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De Rham-Hodge theory for L2-cohomology of infinite coverings 1977-01-01 JĂłzef Dodziuk 2