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1951-60 1961-70 1971-80 1981-90 1991-2000

- A note on open maps,
*Proceedings of the AMS*,**8**(1957), pp. 391--393. - A Vietoris mapping theorem for homotopy,
*Proceedings of the AMS*,**8**(1957), pp. 604--610. - Regular curves on Riemannian manifolds,
*Transactions of the AMS*,**87**(1958), pp. 492--512. - On the immersions of manifolds in Euclidean space (with R. K.
Lashof),
*Annals of Mathematics*,**68**(1958), pp. 562--583. - Self-intersections of immersed manifolds (with R. K. Lashof),
*Journal of Mathematics and Mechanics*,**8**(1959), pp. 143--157. - A classification of immersions of the two-sphere,
*Transactions of the AMS*,**90**(1959), pp. 281--290. - The classification of immersions of spheres in Euclidean space,
*Annals of Mathematics*,**69**(1959), pp. 327--344. (See also R. Thom, La Classification des immersions d'apres Smale,*Seminaire Bourbaki*, December 1957.) - Diffeomorphisms of the two-sphere,
*Proceedings of the AMS*,**10**(1959), pp. 621--626. - On involutions of the 3-sphere (with Morris Hirsch),
*American Journal of Mathematics*,**81**(1959), pp. 893--900. - Morse inequalities for a dynamical system,
*Bulletin of the AMS*,**66**(1960), pp. 43--49. - The generalized Poincaré conjecture in higher dimensions,
*Bulletin of the AMS*,**66**(1960), pp. 373--375. - On dynamical systems,
*Boletin de la Sociedad Mathematics Mexicana*, (1960), pp. 195--198.

- On gradient dynamical systems,
*Annals of Mathematics*,**74**(1961), pp. 199--206. - Generalized Poincaré conjecture in dimensions greater than 4,
*Annals of Mathematics*,**74**(1961), pp. 391--406. - Differentiable and combinatorial structures on manifolds,
*Annals of Mathematics*,**74**(1961), pp. 498--502. - On the structure of 5-manifolds,
*Annals of Mathematics*,**75**(1962), pp. 38--46. - On the structure of manifolds,
*American Journal of Mathematics*,**84**(1962), pp. 387--399. - Dynamical systems and the topological conjugacy problem for
diffeomorphisms,
*Proceedings of the International Congress of Mathematicians*, Stockholm, 1962. - A survey of some recent developments in differential topology,
*Bulletin of the AMS*,**69**(1963), pp. 131--146. - Stable manifolds of diffeomorphisms and differential equations,
*Annali della Scuola Normali Superioro di Pisa*, Serie III,**XVII**(1963), pp. 97--116. - A generalized Morse theory (with R. Palais),
*Bulletin of the AMS*,**70**(1964), pp. 165--172. - Morse theory and non-linear generalization of the Dirichlet problem,
*Annals of Mathematics*,**80**, pp. 382--396. - Diffeomorphisms with many periodic points,
*Differential and Combinatorial Topology*(A symposium in honor of Marston Morse), Princeton University Press (1965), pp. 63--80. - An infinite dimensional version of Sard's theorem,
*American Journal of Mathematics*,**87**(1965), pp. 861--866. - On the Morse index theorem,
*Journal of Mathematics and Mechanics*,**14**(1965), pp. 1049--1056. - A structurally stable differentiable homeomorphism with an infinite
number of periodic points,
*Report on the Symposium on Non Linear Oscillations*, Kiev Mathematics Institute (1963), pp. 365--366. - On the calculus of variations,
*Differential Analysis*, Bombay (1964), pp. 187--189. - Structurally stable systems are not dense,
*American Journal of Mathematics*,**88**(1966), pp. 491--496. - Dynamical systems on
**n**-dimensional manifolds,*Differential Equations and Dynamical Systems*, (1967), pp. 483--486. - Differentiable dynamical systems,
*Bulletin of the AMS*,**73**(1967), pp. 747--817. - What is global analysis?,
*American Math. Monthly*, (1969), pp. 4--9. - Nongenericity of -stability (with R. Abraham),
*Global Analysis, Proc. of Symposia in Pure Mathematics*,**14**AMS (1970), pp. 5--8. - Structural stability theorems (with J. Palis),
*Global Analysis, Proc. of Symposia in Pure Mathematics*,**14**AMS (1970), pp. 223--231. - Notes on differential dynamical systems,
*Global Analysis, Proc. of Symposia in Pure Mathematics*,**14**AMS (1970), pp. 277--287. - The -stability theorem,
*Global Analysis, Proc. of Symposia in Pure Mathematics*,**14**AMS (1970), pp. 289--297. - Topology and mechanics, I.,
*Inventiones Mathematicae*,**10**(1970), pp. 305--331. - Topology and mechanics, II.,
*Inventiones Mathematicae*,**11**(1970), pp. 45--64. - Stability and genericity in dynamical systems,
*Seminaire Bourbaki*, (1969--70), Springer, Berlin, pp. 177--186. - Problems on the nature of relative equilibria in celestial mechanics,
*Proc. of Conference on Manifolds*, Amsterdam (1970), Springer, Berlin, pp. 194--198.

- On the mathematical foundations of electrical circuit theory,
*Journal of Differential Geometry*,**7**(1972), pp. 193--210. - Beyond hyperbolicity (with M. Shub),
*Annals of Mathematics*,**96**(1972), pp. 591--597. - Personal perspectives on mathematics and mechanics,
*Statistical Mechanics: New Concepts, New Problems, New Applications*, edited by Stuart A. Rice, Karl F. Freed, and John C. Light, Univ. of Chicago Press (1972), pp. 3--12. - Stability and isotopy in discrete dynamical systems,
*Dynamical Systems*, edited by M. M. Peixoto, Academic Press, New York (1973). - Global analysis and economics, I: Pareto Optimum and a
generalization of Morse theory,
*Dynamical Systems*, edited by M. M. Peixoto, Academic Press (1973). - Global analysis and economics, IIA,
*Journal of Mathematical Economics, First Issue*, April 1974, pp. 1--14. - Global analysis and economics, III: Pareto Optima and price
equilibria,
*Journal of Mathematical Economics*,**I**(1974), pp. 107--117. - Global analysis and economics, IV: Finiteness and stability of
equilibria with general consumption sets and production,
*Journal of Mathematical Economics*,**I**(1974), pp. 119--127. - Global analysis and economics, V: Pareto theory with constraints,
*Journal of Mathematical Economics*,**I**(1974), pp. 213--221. - Optimizing several functions,
*Manifolds*, Tokyo (1973),*Proc. of the International Conference on Manifolds and Related Topics in Topology*, Tokyo (1973), Univ. of Tokyo Press (1975), pp. 69--75. - The mathematical model of two cells via Turing's equation,
*Lectures on Mathematics in the Life Sciences*,**6**(1974), pp. 17--26. - Sufficient conditions for an optimum,
*Warwick Dynamical Systems*(1974),*Lecture Notes in Mathematics*, Springer--Verlag (1975), pp. 287--292. - Differential equations (with I. M. Singer),
*Encyclopedia Britannica Inc., Fifteenth Edition*, (1974), pp. 736--767. - Dynamics in general equilibrium the theory,
*American Economic Review*,**66**(1976), pp. 288--294. - Global analysis and economics, VI: Geometric analysis of Parieto Optima
and price equilibria under classical hypotheses,
*Journal of Mathematical Economics*,**3**(1976), pp. 1--14. - The qualitative analysis of a difference equation of population growth
(with R. F. Williams),
*Journal of Mathematical Biology*,**3**(1976), PP. 1--4. - On the differential equations of species in competition,
*Journal of Mathematical Biology*,**3**(1976), pp. 5--7. - A convergent process of price adjustment,
*Journal of Mathematical Economics*,**3**(1976), pp. 107--120. - Exchange processes with price adjustment,
*Journal of Mathematical Economics*,**3**(1976), pp. 211--226. - Global stability questions in dynamical systems,
*Proceedings of Conference on Qualitative Analysis, Washington, DC*. - Dynamical systems and turbulence, Turbulence Seminar: Berkeley 1976/77,
edited by P. Bernard and T. Ratiu,
*Lecture Notes in Mathematics*,**615**(1977), pp. 48--71. - Some dynamical questions in mathematical economics,
*Colloques Internationaux du Centre National de la Recherche Scientifique*, No. 259: Systemes Dynamiques et Modeles Economiques, (1977). - An approach to the analysis of dynamic processes in economic systems,
*Equilibrium and disequilibrium in Economic Theory, D. Reidel Publishing Co.*, Dordrecht, (1977), pp. 363--367. - On comparative statics and bifurcation in economic equilibrium theory,
*Annals of the New York Academy of Sciences*,**316**(1979), (Bifurcation Theory in Scientific Disciplines), pp. 545--548. - On algorithms for solving (with Morris W. Hirsch),
*Communications on Pure and Applied Mathematics*,**55**(1980), pp. 1--12. - Smooth solutions of the heat and wave equations,
*Commentarii Mathematici Helvetici*,**55**(1980), pp. 1--12.

- The fundamental theorem of algebra and complexity theory,
*Bulletin of the American Mathematical Society*,**4**(1981), pp. 1--36. - The prisoner's dilemma and dynamical systems associated to
non-cooperative games,
*Econometrica*,**48**(1980), pp. 1617--1634. - Global analysis and economics,
*Handbook of Mathematical Economics*, K. J. Arrow and M. D. Intrilligator, North-Holland, Amsterdam,**1**(1981), pp. 331--370. - The Mathematics of Time: Essays on Dynamical Systems, Economic Processes
and Related Topics,
*Springer--Verlag*, Berlin, (1980), vi + pp. 151. - The problem of the average speed of the simplex method,
*Proceedings of the XIth International Symposium on Mathematical Programming*, edited by Bachem, Grotschel, and Korte, Springer--Verlag, Berlin, (1983), pp. 530--539. - On the average number of steps of the simplex method of linear
programming,
*Mathematical Programming*,**27**(1983), pp. 241--262. - On the steps of Moscow University,
*Mathematical Intelligencer*,**6**(1984), pp. 21--27. - Gerard Debreu wins the Nobel Prize,
*Mathematical Intelligencer*,**6**(1984), pp. 61--62. - Scientists and the arms race (in German translation),
Natur-Wissenschafter Gegen Atomrustung, edited by Hans-Peter Durr, Hans-Peter
Harjes, Matthias Krech, and Peter Starlinge,
*Spiegel--Buch*, (1983), pp. 327--334. - Computational complexity: On the geometry of polynomials and a theory of
cost, Part I (with Mike Shub),
*Annales Scientifiques de l'Ecole Normale Superieure*,**18**(1985), pp. 107--142. - On the efficiency of algorithms of analysis,
*Bulletin of the American Mathematical Society*,**13**(1985), pp. 87--121. - Computational complexity: On the geometry of polynomials and a theory of
cost, Part II (with Mike Shub),
*SIAM Journal of Computing*,**15**(1986), pp. 145--161. - On the existence of generally convergent algorithms (with Mike Shub),
*Journal of Complexity*,**2**(1986), pp. 2--11. - Newton's method estimates from data at one pint, The Merging of
Disciplines:
*New Directions in Pure, Applied, and Computational Mathematics*, edited by Richard E. Ewing, Kenneth I. Gross, and Clyde F. Martin, Springer--Verlag, New York, (1986), pp. 185--196. - On the topology of algorithms, I.,
*Journal of Complexity*,**3**(1987), pp. 81--89. - Algorithms for solving equations, Proceedings of the International
Congress of Mathematicians, August 3--11, 1986, Berkeley, California, USA,
*American Mathematical Society Providence*, (1987), pp. 172--195. - Global analysis in economic theory, The New Palgrave:
*A Dictionary of Economics*,**2**, edited by John Eatwell, Murray Milgrate, and Peter Newman,*Macmillan Press*, (1987), London, pp. 532--534. - The Newtonian contribution to our understanding of the computer,
*Queen's Quarterly*,**95**(1988), pp. 90--95. - On a theory of computation and complexity over the real numbers:
**NP**-completeness, recursive functions and universal machines (with Lenore Blum and Mike Shub),*Bulletin (New Series) of the American Mathematical Society*,**21(1)**(1989), pp. 1--46. - Some remarks on the foundations of numerical analysis,
*SIAM Review*,**32(2)**(1990), pp. 221--270. - The story of the higher dimensional Poincaré conjecture,
*The Mathematical Intelligencer*,**21(2)**(1990), pp. 40--51.

- Dynamics retrospective: great problems, attempts that failed,
*Physica D*,**51**(1991), pp. 267--273. - Theory of computation,
*Mathematical Research Today Tomorrow*, ed. Casacuberta, Castellet Spring, New York, (1992), pp. 60--69. - Complexity of Bezout's Theorem I: Geometric aspects (with Mike Shub),
*Journal of the American Mathematical Society*,**6**(1993), pp. 459--501. - Complexity of Bezout's Theorem II: Volumes and probabilities (with Mike
Shub), Computational Algebraic Geometry (F. Eyssette and A. Galligo,
eds.)
*Progress in Mathematics*, Birkhauser,**109**(1993), pp. 267--285. - Complexity of Bezout's Theorem III: Condition number and packing (with
Mike Shub),
*Journal of Complexity*,**9**(1993), pp. 4--14. - What is Chaos, in Nobel Conference XXVI,
*Chaos the New Science*, ed. J. Holte Gustavus Adolphus College, University Press in American, (1993), pp. 89--104. - Complexity of Bezout's Theorem V: Polynomial Time (with Mike Shub),
*Theoretical Computer Science*,**133**(1994), pp. 141--164 - Separation of Complexity Classes in Koiran's Weak Model (with Felipé
Cucker and Mike Shub),
*Theoretical Computer Science*,**133**(1994), pp. 3--14. - Complexity of Bezout's Theorem IV: Probabability of success;
Extensions (with Mike Shub),
*SIAM Jour. of Numerical Analysis*(1996). - On the Intractibility of Hilbert's Nullstellensatz and an Algebraic
Version of "NP=P?" (with Mike Shub)
*Duke Math Jour*to appear. - Complexity and Real Computation: A Manifesto (with L. Blum,
F. Cucker and M. Shub)
*International Journal of Bifurcation and Chaos*Vol. 6 No.1 (1996). - Algebraic Settings for the Problem "P=NP" (with L. Blum,
F. Cucker, M. Shub)
*Lectures in Applied Mathematics*, ed J. Renegar, M. Shub and S. Smale to appear - Chaos: Finding a Horseshoe on the Beaches of Rio to appear

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Last update: April 1996