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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. Asterisque, 66 (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 Mathematics, 28 (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 Intelligencer, 16 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 Journal, 86 (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
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Notices wrt defence funding PDF
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ICM 86 announcement PDF
Declining Math Funding at DOD PDF
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