C. Beltrán, Jean Pierre Dedieu, Gregorio Malajovich, Michael Shub. "Convexity properties of the condition number" To Appear. PDF

  C. Beltrán, Michael Shub. "On the Geometry and Topology of the Solution Variety for Polynomial System Solving" To Appear. PDF

 C. Beltrán, Michael Shub. "Complexity of Bezout's Theorem VII: Distance Estimates in the Condition Metric" Foundations of Computational Mathematics. Online First DOI 10.1007/s10208-007-9018-5. PDF

  C. Beltrán. "Sobre el problema 17 de Smale: Teoría de la Intersección y Geometría Integral". Ph. D. Thesis, Universidad de Cantabria. 2006. PDF

 C. Beltrán, Luis M. Pardo. "Upper Bounds on the Distribution of the Condition Number of Singular Matrices". C. R. Math. Acad. Sci. Paris 340 (2005), no. 12, 915--919. PDF

C. Beltrán, Luis M. Pardo. "Estimates on the Probability Distribution of Condition Number of Singular Matrices". Foundations of Computational Mathematics. Foundations of Computational Mathematics 7 (2007), no. 1, 87--134. PDF

C. Beltrán, Luis M. Pardo. "On the Complexity of Non Universal Polynomial Equation Solving: Old and New Results." Foundations of Computational Mathematics: Santander 2005. L. Pardo, A. Pinkus, E. Süli, M. Todd editors (2006). Cambridge University Press. 1--35. PDF

C. Beltrán, Luis M. Pardo. "On the probability Distribution of Condition Numbers of Complete Intersection Varieties and the Average Radius of Convergence of Newton's Method in the Underdetermined Case." Mathematics of Computation 76 (2007), 1393-1424.  PDF

C. Beltrán, Luis M. Pardo. "On Smale`s 17th Problem: A Probabilistic Positive answer." Foundations of Computational Mathematics. Online First DOI 10.1007/s10208-005-0211-0.. PDF

C. Beltrán, Luis M. Pardo. "On the Probability Distribution of Singular Varieties of Given Corank." Journal of Symbolic Computation. Journal of Symbolic Computation 42 (2007), no. 1-2, 4--29. PDF

C. Beltrán, G. Dalzotto, T. Recio. "The Moment of Truth in Automatic Theorem Proving in Elementary Geometry", Proceedings of ADG 2006.