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Books and book chapters

Hirsch M., Pugh C., and Shub M. Invariant manifolds, Lecture Notes on Mathematics, no. 583, (1977) Springer. PDF

Shub M. Stabilité globale des systèmes dynamiques Asterique, 56 (1978). Société mathématique de France.

Fathi A., and Shub M. Some dynamics of pseudo-Anosov diffeomorphisms. Asterisque66 (1978). No.6 67, Travaux de Thurston sur les Surfaces 181-207. Société Mathématique de France.PDF

Shub M., Global Stability of Dynamical Systems, (1986) Springer (this book is a translation of the French edition with added chapters and corrections). PDF

Shub M., and Vasquez A. T. Some linearly induced Morse-Smale systems, the QR algorithm and the Toda lattice. Contemporary Math, 64 (1987) 181-194. PDF

Hirsch M.W., Marsden J. E., and Shub M. (Eds) From Topology to Computation: Proceedings of the Smalefest, (1993) Springer.

Renegar J., Shub M., Smale S., (Eds) Mathematics of Numerical Analysis, Lectures in Applied Math. 32 (1996) American Math. Soc., Providence, R.I..

Cucker F., and Shub M., (Eds) Foundations of Computational Mathematics, (1997) Springer.

Blum L., Cucker F., Shub M., and Smale S., Complexity and Real Computation, (1998) Springer. PDF DJVU

Forni G., Lyubich M., Pugh C., and Shub M.,  (Eds) Partially Hyperbolic Dynamics, Laminations, and Teichmüller Flow, (2007) American Mathematical Society.

Journal Articles

Epstein D., and Shub M. Expanding endomorphisms of flat manifolds. Topology, 7 (1968) no.2, 139-141. PDF

Shub M. Endomorphisms of compact differentiable manifolds. American Journal of Mathematics, 91 (1969), no. 1, 175-199. PDF

Shub M. Periodic orbits of hyperbolic diffeomorphisms and flows. Bulletin of the American Mathematical Society, 75 (1969), no. 1, 57-58. PDF

Shub M., and Williams R. F. Future stability is not generic. Proceedings of the American Mathematical Society, 22 (1969), no. 2, 483-484. PDF

Hirsch M., Palis J., Pugh C., and Shub M. Neighborhoods of hyperbolic sets. Inventiones Mathematicae, 9 (1970), no. 2, 121-134. PDF

Pugh C., and Shub M. Linearization of normally hyperbolic diffeomorphisms and flows. Inventiones Mathematicae, 10 (1970), no. 3, 187-198. PDF

Pugh C., and Shub M. The Omega-Stability Theorem for Flows. Inventiones Mathematicae 11 (1970) 150-158. PDF

Hirsch M. W., Pugh C. C., and Shub M. Invariant manifolds. Bulletin of the American Mathematical Society, 76 (1970), no. 5, 1015-1019. PDF

Pugh C., and Shub M. Ergodic elements of ergodic actions. Compositio Mathematica, 23 (1971), no. 1, 115-122. PDF

Pugh C., and Shub M. Ergodicity of Anosov actions. Inventiones Mathematicae, 15 (1972), no.1, 1-23. PDF

Shub M. Structurally stable diffeomorphisms are dense. Bulletin of the American Mathematical Society, 78 (1972) no. 5, 817-818. PDF

Shub M., and Smale S. Beyond hyperbolicity. Annals of Mathematics, 96 (1972), no. 3, 587-591. PDF

Shub, M. Dynamical systems, filtrations and entropy. Bulletin of the American Mathematical Society, 80 (1974), no. 1, 27-41. PDF

Levine H. I., and Shub M. Stability of foliations. Transactions of the American Mathematical Society, 184 (1974) 419-437. PDF

Shub M., and Sullivan D. A remark on the Lefschetz fixed point formula for differentiable maps. Topology, 13 (1974), no. 2, 189-191. PDF

Shub M., and Sullivan D. Homology theory and dynamical systems. Topology, 14 (1975), no. 2, 109-132. PDF

Pugh C., and Shub M. Axiom A actions. Inventiones Mathematicae, 29 (1975), no. 1, 7-38. PDF

Nitecki Z., and Shub M. Filtrations, decompositions, and explosions. American Journal of Mathematics, 97 (1975), no. 4, 1029-1047 PDF

Shub M., and Williams R. F. Entropy and stability. Topology, 14 (1975) no.4, 329-338. PDF

Sacksteder R., and Shub M. Entropy of a differentiable map. Advances in Mathematics, 28 (1978) no. 3, 181-185. PDF

Sacksteder R., and Shub M. Entropy on sphere bundles. Advances in Mathematics28 (1978), no. 2, 174-177. PDF

Fried D., and Shub M. Entropy, linearity and chain-recurrence. Inst. Hautes Études Sci. Publ. Math, (50), (1979) 203-214. PDF

Franks J., and Shub M. The existence of Morse–Smale diffeomorphisms. Topology, 20 (1981), no. 3, 273-290. PDF

Pugh C., and Shub M. Suspending subshifts. Contributions to analysis and geometry, (1981) 265-275. Johns Hopkins University Press. PDF

Shub M., and Smale S. Computational complexity: on the geometry of polynomials and a theory of cost. I. Annales scientifiques de l’Ecole normale supérieure, 18 (1985) no.1, 107-142. Elsevier. PDF

Shub M., and Sullivan D. Expanding endomorphisms of the circle revisited. Ergodic Theory and Dynamical Systems, 5 (1985) no. 2, 285-289. PDF

Maller M., and Shub M. The integral homology of Smale diffeomorphisms. Topology, 24 (1985) no. 2, 153-164. PDF

Shub M., and Smale S. Computational complexity: on the geometry of polynomials and a theory of cost: II. SIAM Journal on Computing, 15 (1986) no. 1, 145-161. PDF

Shub M., and Smale S. On the existence of generally convergent algorithms. Journal of Complexity, 2 (1986) no. 2, 2-11. PDF

Blum L., Blum M., and Shub M. A simple unpredictable pseudo-random number generator. SIAM Journal on computing, 15 (1986), no.2, 364-383. PDF

Blum L., and Shub M. Evaluating rational functions: infinite precision is finite cost and tractable on average. SIAM Journal on Computing, 15 (1986) no. 2, 384-398. Also abstracted in IEEE 1984 FOCS. PDF

Weiss N., Wasilkowski G. W., Woźniakowski H., and Shub M. Average condition number for solving linear equations. Linear Algebra and Its Applications, 83, (1986) 79-102. PDF

Shub M. On the asymptotic behavior of the projective rescaling algorithm for linear programming. Journal of Complexity, 3 (1987), no. 3, 258-269. PDF

Shub M., Tischler D., and Williams R. F. The Newtonian graph of a complex polynomial. SIAM journal on mathematical analysis, 19 (1988) no.1 , 246-256. PDF

Pugh C., and Shub M. Cr stability of periodic solutions and solution schemes. Applied Mathematics Letters, 1 (1988) no. 3, 281-285. PDF

Megiddo N., and Shub M. Boundary behavior of interior point algorithms in linear programming. Mathematics of Operations Research, 14 (1989) no. 1, 97-146. PDF

Pugh C., and Shub M. Ergodic attractors. Transactions of the American Mathematical Society, 312 (1989) no. 1, 1-54. PDF

Blum L., Shub M., and Smale S. On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines. Bulletin (New Series) of the American Mathematical Society, 21 (1989) no. 1, 1-46. Also abstracted in IEEE 1988 FOCS. PDF

Shub M. On the distance to the zero set of a homogeneous polynomial. Journal of Complexity, 5 (1989) no. 3, 303-305. PDF

Shub M., and Weiss B. Can one always lower topological entropy?. Ergodic Theory and Dynamical Systems, 11 (1991) no. 3, 535-546. PDF

Renegar J., and Shub M. Unified complexity analysis for Newton LP methods. Mathematical programming, 53 (1992) no. 1, 1-16. PDF

Bürgisser P., Lickteig T., and Shub M. Test complexity of generic polynomials. Journal of Complexity, 8 (1992) no. 3, 203-215. PDF

Shub M., and Smale S. Complexity of Bezout’s theorem I: Geometric aspects. Journal of the American Mathematical Society, 6 (1993) no. 2, 459-501. PDF

Shub M., and Smale S. Complexity of Bezout’s theorem. II. Volumes and probabilities. Computational algebraic geometry (Nice, 1992), Progr. Math, 109, (1993) 267-285. PDF

Shub M., and Smale S. Complexity of Bezout′ s Theorem: III. Condition Number and Packing. Journal of Complexity, 9 (1993) no. 1, 4-14. PDF

Edelman A., Kostlan E., and Shub M. How many eigenvalues of a random matrix are real?. Journal of the American Mathematical Society, 7 (1994) no. 1, 247-267. PDF

Shub, M. (1994). Mysteries of mathematics and computation. The Mathematical Intelligencer16 no. 1, 10-15. PDF

Shub, M. The implicit function theorem revisited. IBM Journal of Research and Development. 38 (1994) no. 3, 259-264. PDF

Cucker F., Shub M., and Smale S. Separation of complexity classes in Koiran’s weak model. Theoretical Computer Science, 133 (1994) no. 1, 3-14. PDF

Shub M., and Smale S. Complexity of Bezout’s theorem V: polynomial time. Theoretical Computer Science, 133 (1994) no. 1, 141-164. PDF

Grayson M., Pugh C., and Shub M. Stably ergodic diffeomorphisms. Annals of Mathematics, 140 (1994) no. 2, 295-329. PDF

Shub M., and Smale S. On the intractability of Hilbert’s Nullstellensatz and an algebraic version of “NP= P?”. Duke Mathematical Journal, 81 (1995) no. 1, 47-54. PDF

Shub M., and Smale S. Complexity of Bézout’s theorem IV: probability of success; extensions. SIAM Journal on Numerical Analysis, 33 (1996) no. 1, 128-148. PDF

Blum L., Cucker F., Shub M., and Smale S. Complexity and real computation: A manifesto. International Journal of Bifurcation and Chaos, 6 (1996) no. 1, 3-26. PDF

Adler R., Kitchens B., and Shub M. Stably ergodic skew products. Discrete and Continuous Dynamical Systems, 2 (1996), 349-350. PDF Errata 1999, 5(2): 456-456. PDF

Cucker F., and Shub M. Generalized knapsack problems and fixed degree separations. Theoretical Computer Science, 161 (1996) no. 1, 301-306. PDF

Pugh C., Shub M., and Wilkinson A. Hölder foliations. Duke Mathematical Journal86 (1997) no. 3, 517-546. PDF Correction Vol. 105 (2000) 105-106. PDF

Pugh C., and Shub M. Stably ergodic dynamical systems and partial hyperbolicity. Journal of Complexity, 13 (1997) no. 1, 125-179. PDF

Brezin J., and Shub M. Stable ergodicity in homogeneous spaces. Bulletin of the Brazilian Mathematical Society, 28 (1997) no. 2, 197-210. PDF

Lewis D., and Shub M. The distribution of the maximum condition number on great circles through a fixed 2×2 real matrix. Linear algebra and its applications, 297 (1999) no.1-3, 193-202. PDF

Shub M., and Wilkinson A. Pathological foliations and removable zero exponents. Inventiones Mathematicae, 139 (2000) no. 3, 495-508. PDF

Pugh C., and Shub M. Stable ergodicity and julienne quasi-conformality. Journal of the European Mathematical Society, 2 (2000) no. 1, 1-52. PDF

Dedieu J. P., and Shub M.  Multihomogeneous Newton methods. Mathematics of Computation, 69 (2000) no. 231, 1071-1098. PDF

Dedieu J., and Shub M. Newton’s method for overdetermined systems of equations. Mathematics of Computation, 69 (2000) no. 231, 1099-1115. PDF

Shub M., and Wilkinson A. Stably ergodic approximation: two examples. Ergodic Theory and Dynamical Systems, 20 (2000) no. 3, 875-893. PDF

Dedieu J. P., and Shub M. On simple double zeros and badly conditioned zeros of analytic functions of n variables. Mathematics of Computation, (2001) 319-327. PDF

Adler R. L., Dedieu J. P., Margulies J. Y., Martens M., and Shub M. Newton’s method on Riemannian manifolds and a geometric model for the human spine. IMA Journal of Numerical Analysis, 22 (2002) no. 3, 359-390. PDF

Dedieu, J. P., Kim, M. H., Shub, M., & Tisseur, F. Implicit gamma theorems (I): Pseudoroots and pseudospectra. Foundations of Computational Mathematics, 3 (2003), 1-32. PDF

Ledrappier F., Shub M., Simó C., and Wilkinson A. Random versus deterministic exponents in a rich family of diffeomorphisms. Journal of Statistical Physics, 113 (2003) no. 1, 85-149. PDF

Pugh C., Shub M., and Starkov A. Corrigendum to: Stable ergodicity and julienne quasi-conformality, J. Eur. Math. Soc. 2, 1-52. Journal of the European Mathematical Society, 6 (2004) no. 1, 149-151. PDF

Pugh C., and Shub M. Stable ergodicity (Appendix by A. Starkov). Bulletin of the American Mathematical Society, 41 (2004) no. 1, 1-41. PDF

Pugh C., Shub M., and Wilkinson A. Partial differentiability of invariant splittings. Journal of Statistical Physics, 114 (2004) no. 3, 891-921. PDF

Dedieu J. P., Malajovich G., and Shub M. On the curvature of the central path of linear programming theory. Foundations of Computational Mathematics, 5 (2005) no. 2, 145-171. PDF

Shub M. WHAT IS… a Horseshoe?. Notices of the American Mathematical Society, 52 (2005) no. 5, 516-517. PDF

Dedieu J. P., and Shub M. Newton flow and interior point methods in linear programming. International Journal of Bifurcation and Chaos, 15 (2005) no. 3, 827-839. PDF

Adler R. L., Kitchens B., Martens M., Pugh C., Shub M., and Tresser, C. Convex dynamics and applications. Ergodic Theory and Dynamical Systems, 25 (2005) no. 2, 321-352. PDF

Pugh C., Shub M., and Starkov A. Unique Ergodicity, Stable Ergodicity and the Mautner Phenomenon for Diffeomorhisms. Discrete Continous Dynamical Systems, Serie A, 14 (2006), 845-855. PDF

Pujals E. R., Robert L., and Shub M., Expanding maps of the circle rerevisited: positive Lyapunov exponents in a rich family. Ergodic Theory and Dynamical Systems, 26 (2006) no. 6, 1931-1937. PDF

De La Llave R., Shub M., and Simó C. Entropy estimates for a family of expanding maps of the circle. Discrete Continous Dynamical Systems, Serie B, 10 (2008) no. 2-3, 597-608. PDF

Pujals E. R., and Shub M. Dynamics of two-dimensional Blaschke products. Ergodic Theory and Dynamical Systems, 28 (2008) no. 2, 575-585. PDF

Shub M. Complexity of Bézout’s theorem VI: Geodesics in the condition (number) metric. Foundations of Computational Mathematics, 9 (2009) no. 2, 171-178. PDF

Beltrán C., and Shub M. (2009). Complexity of Bézout’s theorem VII: Distance estimates in the condition metric. Foundations of Computational Mathematics, 9 (2009) no. 2, 179-195. PDF

Beltrán C., Dedieu J. P., Malajovich G., and Shub M. Convexity properties of the condition number. SIAM Journal on Matrix Analysis and Applications, 31 (2010) no. 3, 1491-1506. PDF

Beltrán C., and Shub M. A note on the finite variance of the averaging function for polynomial system solving. Foundations of Computational Mathematics, 10 (2010) no. 1, 115-125. PDF

Armentano D., Beltrán C., and Shub M. (2011). Minimizing the discrete logarithmic energy on the sphere: The role of random polynomials. Transactions of the American Mathematical Society, 363 (2011) no. 6, 2955-2965. PDF

Pugh C., and Shub M., and Wilkinson, A. Hölder foliations, revisited. Journal of Modern Dynamics, 6 (2012), 79-120. PDF

Beltrán C., Dedieu J. P., Malajovich G., and Shub, M., Convexity properties of the condition number II. SIAM Journal on Matrix Analysis and Applications, 33 (2012) no. 3, 905-939. PDF

Beltrán C., and Shub M., On the geometry and topology of the solution variety for polynomial system solving. Foundations of Computational Mathematics, 12 (2012) no. 6, 719-763. PDF

Dedieu J. P., Malajovich G., and Shub M., (2012). Adaptive step-size selection for homotopy methods to solve polynomial equations. IMA Journal of Numerical Analysis, 33 (2012) no. 1, 1-29. PDF

Pugh C., and Shub M., Periodic points on the 2-sphere. Discrete and Continuous Dynamical Systems, 34 (2014) no. 3, 1171-1182. PDF

Armentano D., and Shub M., Smale’s fundamental theorem of algebra reconsidered. Foundations of Computational Mathematics, 14 (2014) no. 1, 85-114. PDF

Armentano D., and Shub M.,  Erratum to: Smale’s Fundamental Theorem of Algebra Reconsidered. Foundations of Computational Mathematics, 14 (2014) no. 4, 861. PDF

Krick T., Verstraete N., Alonso L. G., Shub D. A., Ferreiro D. U., Shub M., and Sánchez I. E. Amino acid metabolism conflicts with protein diversity. Molecular Biology and Evolution, 31 (2014) no. 11, 2905-2912. Article Data 1 Data 2 Supplementary

Armentano D., Beltrán C., Bürgisser P., Cucker F., and Shub, M. Condition length and complexity for the solution of polynomial systems. Foundations of Computational Mathematics, 16 (2016) no. 6, 1401-1422. PDF

Cucker F., Krick, T., and Shub M., Computing the Homology of Real Projective Sets. Foundations of Computational Mathematics  18 (2018) 929-970. PDF

Armentano D., Beltrán C., Bürgisser P., Cucker F., and Shub M.,  A stable, polynomial-time algorithm for the eigenpair problem. Journal of the European Math Society 20 (2018)  1375-1437 PDF

Shub M., My Dynamics Courses at Orsay and Jean-Christophe. (2018) SMF-Gazette 131  PDF

Pujals,E., Shub M. and Yang,Y., Stable and non-symmetric pitchfork bifurcations. Science China Mathematica  63 (2020) 1837-1852. PDF

Shub M., Xu,Q. and Xuan,X., Disease Prediction and Maximum Entropy Method.  Arxiv and submitted. PDF

Delamonica, Brenda; Balázsi, Gábor; Shub, Michael, Cusp bifurcation in a metastatic regulatory network, J. Theoret. Biol. 575 (2023), Paper No. 111630, 8 pp. PDF

Armentano,D., Chinta,G., Sahi,S. and Shub,M., On Random and Mean Exponents in GL(n,R) to appear Ergodic Theory and Dynamical Systems, First View Published online by Cambridge University Press: 11 December 2023, pp. 1-17. PDF

Refereed conference proceedings

Shub M. Expanding maps. Global Analysis, Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968, American Mathematical Society, (1970), 273-276.PDF

Shub M. Relative Equilibria and Diagonals, appendix to S. Smale’s paper” Problems on the Nature of Relative Equilibria in Celestial Mechanics”, Manifolds. Proc. MUFFIC Summer School on Manifolds, Amsterdam, Springer Lecture Notes in Mathematics, 197 (1971), 199-201.

Shub M. Instability, Proceedings of the Symposium on Differential Equations and Dynamical Systems, Lecture Notes in Mathematics. 26 (1971), 28-29. Springer..PDF

Shub M. Topologically transitive diffeomorphisms of T 4. Proceedings of the Symposium on Differential Equations and Dynamical Systems, Lecture Notes in Mathematics, 206 (1971), 39-40. Springer..PDF

Shub M. Morse-Smale diffeomorphisms are unipotent on homology. In Dynamical systems Proc. Sympos., Univ. Bahia, Salvador, 1971, Academic Press, New York (1973),489-492.PDF

Shub, M. Stability and genericity for diffeomorphisms. In Dynamical systems, Proc. Sympos., Univ. Bahia, Salvador, 1971, Academic Press, New York (1973) 493-514.PDF

Palis J., Pugh C., Shub M., and Sullivan D. Genericity theorems in topological dynamics. Dynamical Systems—Warwick 1974, Lecture Notes in Math, no. 468, (1975) 241-250. SpringerPDF

Shub M. Topological entropy and stability. Dynamical Systems—Warwick 1974, Lecture Notes in Math, no. 468, (1975) 39-40, Springer.PDF

Shub M., Homology theory and dynamical systems. Dynamical Systems—Warwick 1974, Lecture Notes in Math, no. 468, (1975) 36-38, Springer.PDF

Pugh C. C. On the entropy conjecture: a report on conversations among R. Bowen M. Hirsch, A. Manning, C. Pugh, B. Sanderson, M. Shub and R. Williams. Dynamical Systems—Warwick 1974, Lecture Notes in Math, no. 468, (1975) 257-261. Springer.PDF

Shub M. The Lefschetz Fixed Point Formula, Smoothness and Stability, Dynamical Systems, and International Sympmosium, Vol. 1, Academic Press (1976), 13-28.PDF

Shub, M. Stability in Dynamical Systems, Colloques Internationaux Du Centre National de la Recherche Scientifique no. 259 “Systemes Dynamiques Modeles Economiques”, (1977), 69-76.PDF

Shub M. Alexander cocycles and dynamics. Asterisque, Vol. (51), “Dynamical Systems III, Warsaw 1977”, (1978) 395-413. Société Mathematique de France. PDF

Ruelle D., and Shub M. Stable manifolds for maps. Global theory of dynamical systems. Lecture Notes in Mathematics number 819. (1980) 389-392 Springer.PDF

Pugh C. C., and Shub M. (1980). Differentiability and continuity of invariant manifolds. Annals of the New York Academy of Sciences, 357 (1980) no. 1, 322-329.PDF

Shub M., and Smale S. On a Theory of Cost for Equations Solving. Homotopy Methods and Global Convergence, (1983) 263-266, Plenum Press, New York.PDF

Shub M., and Smale S. On the average cost of solving polynomial equations. Geometric Dynamics, (1983) 719-724.PDF

Shub M. Some remarks on dynamical systems and numerical analysis in Dynamical Systems and Partial Differential Equations. Proc. VII ELAM., Equinoccio, U. Simón Bolıvar, Caracas, (1986) 69-92. PDF

Shub M. The geometry and topology of dynamical systems and algorithms for numerical problems. Proc. of the 1983 Beijing Symposium on Differential Geometry and Differential Equations. (1986) Science Press, Beijing, China.PDF

Shub, M. On the work of Steve Smale on the theory of computation. From Topology to Computation: Proceedings of the Smalefest, 281-30, (1993) Springer.PDF

Shub M. Some remarks on Bezout’s theorem and complexity theory. From topology to computation: Proceedings of the Smalefest, 443-455, (1993) Springer.PDF

Blum L., Cucker F., Shub M., and Smale S. Algebraic settings for the problem “P≠ NP?”. Mathematics of Numerical Analysis, (1996) 125-146. Springer.PDF

Pugh C., and Shub M. Stable ergodicity and partial hyperbolicity. International Conference on Dynamical Systems: Montevideo, 1995, A tribute to Ricardo Mane, Pitman Research Notes in Mathematics (1996) no. 362, 182-187.PDF

Pugh C., and Shub M., Stably Ergodicity and Stable Accessibility, “Proceedings of US-Chinese Conference: Differential Equations and Applications held in Hangzhou, June 24-29”  International Press, (1996) 258-267.PDF

Margulies J. Y., Adler R. L., Kalvin A. D., Martens M., Shub M., Tresser C. P., and Wu C. W. Deforming Factors in Idiopathic Scoliosis: A Mathematical Tool. SPINE-PHILADELPHIA-HANLEY AND BELFUS-, 14 (2000) no. 2, 505-510.PDF

Burns K., Pugh C., Shub M., and Wilkinson A. Recent results about stable ergodicity. Smooth ergodic theory and its applications. Proceedings of Symposia in Pure Mathematics Vol. 69. American Mathematical Society, 69 (2000) 327-366.PDF

Shub M. From Dynamics to Computation and Back?. Foundations of Computational Mathematics: Proceedings of the Smalefest 2000, Hong Kong, 13-17, 2000, (2002) 423-432. World Scientific. PDF

Dedieu J. P., and Shub M. On Random and Mean Exponents for Unitarily Invariant Probability Measures on GLn (C). Geometric Methods in Dynamical Systems II – In Honor of Jacob Palis. Asterisque, 287 (2003), 1-18. Société Mathématique de France. PDF

Shub M., Non-Zero Lyapunov Exponenets Versus Mean Deterministic Exponents for a Twist Like Family of Diffeomorphisms of the Two Sphere- Extended Abstract in XIV International Congress on Mathematical Physics. World Scientific, (2006) 216-223.

Shub, M., All, most, some differentiable dynamical systems. Proceedings of the International Congress of Mathematicians, Madrid, Spain, Vol. 3, (2006) 99-120. PDF

Beltrán C., and Shub M., The complexity and geometry of numerically solving polynomial systems. Contemporary Mathematics Vol 604, (2013) 71-104. PDF

Book reviews

Shub M., Book Review of Geometric Theory of Dynamical Systems, by Palis and De Melo. The Mathematical Intelligencer, 6 (1984), no. 1, 69-70.PDF

Shub M., Book Review of “Information, Uncertainty, Complexity” by J.F. Traub G.W. Wasilkowski and H. Wozniakowski SIAM Review, 29 (1987) no. 3, 495-7. PDF

Shub M. Book Review of Elements of differentiable dynamics and bifurcation theory by David Ruelle Bull. Amer. Math. Soc. 24 (1991) no. 1, 199-211. PDF

Public Policy

 Letters to Notices PDF

TestimonyScience Policy PDF

Notices wrt defence funding PDF

TestimonyScience Policy PDF

 ICM 86 announcement PDF

Declining Math Funding at DOD PDF

Commentary on Defense Funding PDF

FoCM Panel Discussion PDF

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