Publicaciones (publications)
Publicaciones de los Profesores Investigadores del Departamento de Matemáticas y Estadística.Libros
Calculus off the Beaten Path: A Journey Through Its Fundamental Ideas.This textbook provides a gentle overview of fundamental concepts related to one-variable calculus. The original approach is a result of the author’s forty years of experience in teaching the subject at universities around the world. In this book, Dr. Zalduendo makes use of the history of mathematics and a friendly, conversational approach to attract the attention of the student, emphasizing what is more conceptually relevant and putting key notions in a historical perspective. Such an approach was conceived to help them to overcome potential difficulties in teaching and learning of this subject ― caused, in many cases, by an excess of technicalities and computations.
Besides covering the core of the discipline ― real number, sequences and series, functions, derivatives, integrals, convexity and inequalities ― the book is enriched by “side trips” to relevant subjects not usually seen in traditional calculus textbooks, touching on topics like curvature, the isoperimetric inequality, Riemann’s rearrangement theorem, Snell’s law, Buffon’s needle problem, Gregory’s series, random walk and the Gauss curve, and more. An insightful collection of exercises and applications completes this book, making it ideal as a supplementary textbook for a calculus course or the main textbook for an honors course on the subject.
Matemática para Iñaki. Quien abra este libro quizá no creerá que se trata de uno de divulgación: verá que hay ejercicios y problemas, y encontrará que todo lo que se afirma va acompañado de una demostración.
No hay duda, en cambio, de que se trata de un libro que invita al lector a adentrarse en el pensamiento matemático a través de sus conceptos más elementales, aquello que conforman la base firme de la edificación matemática: los números naturales y la aritmética; el punto y la recta; los ángulos, las funciones circulares y las ecuaciones; las permutaciones y la probabilidad.
Ignacio Zalduendo escribió este libro para Iñaki y para todo aquel que aun tiene viva su curiosidad, disfruta de los desafíos y encuentra placer en el descubrimiento que llega después de pasar un rato pensando con lápiz y papel en mano. En esto se resume, a fin de cuentas, la matemática.
Stochastic Optimization in Insurance: A Dynamic Programming Approach. Authors: Pablo Azcue and Nora Muler. Springer Briefs in Quantitative Finance, Springer, (2014).
- A concise viscosity solution approach in insurance control problems.
- Provides existence and structure of optimal strategies.
- Offers systematic construction of the optimal value functions.
Publicaciones recientes
- A Kruskal-Wallis type test for functional data. Authors: Daniela Rodriguez, Mariela Sued and Marina Valdora. Communications in Statistics - Simulation and Computation, accepted, (2025).
- Binding mechanism of oligopeptides on solid surface: Assessing the significance of single-molecule approach. Authors: Daniela Rodriguez, Joanne Lê-Chesnais, Marie Steffenhagen, Christophe Méthivier, Dominique Costa, Jean-François Lambert, Emmanuel Maisonhaute and Jessem Landoulsi. Nanoscale - Royal Society of Chemistry, issue 6, 3460-3477, (2025).
- A Penalization Method to Estimate the Intrinsic Dimensionality of Data. Authors: Daniela Rodriguez, Liliana Forzani and Mariela Sued. Statistical Papers, 66, art. 46, (2025).
- Testing homoscedasticity of a large number of populations. Authors: Daniela Rodriguez, M. Dolores Jiménez-Gamero and Marina Valdora. Statistical Papers, 66, art. 32, (2025).
On the volume ratio of projections of convex bodies. Authors: Damián Pinasco, Daniel Galicer, Alexander Litvak and Mariano Merzbacher. Journal of Functional Analysis, 286, issue 3, art. 110242, (2024).
Asymptotic results for nonparametric regression estimators after sufficient dimension reduction estimation. Authors: Daniela Rodriguez, Liliana Forzani and Mariela Sued. Test, 33, 987-1013, (2024).
- A game–inspired algorithm for marginal and global clustering. Authors: Gabriel Martos Venturini, Miguel de Carvalho and Andrej Svetlo¨ák. Pattern Recognition, 160, (2024).
- Domain Selection for Gaussian Process Data: An application to electrocardiogram signals. Authors: Gabriel Martos Venturini and Nicolás Hernández. Biometrical Journal, 66, issue 8, (2024).
- Uncovering Regions of Maximum Dissimilarity on Random Process Data. Authors: Gabriel Martos Venturini and Miguel de Carvalho. Transactions on Machine Learning Research, (mayo 2024).
Optimal dividends for a Natural Catastrophe insurer in the presence of a climate tipping point. Authors: Nora Muler, Hansjörg Albrecher and Pablo Azcue. Submitted.
Optimal dividend strategies for a catastrophe insurer. Authors: Nora Muler, Hansjörg Albrecher and Pablo Azcue. Frontiers of Mathematical Finance, 3, no. 2, 304-344, (2024).
On the n−th linear polarization constant of Rn. Author: Damián Pinasco. Mathematische Nachrichten, 296, issue 8, 3593-3605, (2023).
Farkas’ lemma in the bilinear setting and evaluation functionals. Authors: Damián Pinasco, Richard Aron, Domingo García and Ignacio Zalduendo. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 117, no. 6, (2023).
Level Sets Semimetrics for Probability Measures with applications in hypothesis testing. Authors: Gabriel Martos Venturini, Alberto Muñoz, and Javier Gonzalez. Methodology and Computing in Applied Probability, 25, issue 1, art. 21, (2023).
Density kernel depth for outlier detection in functional data. Authors: Gabriel Martos Venturini, Nicolás Hernández and Alberto Muñoz. International Journal of Data Science and Analytics, 16, 481–488, (2023).
- Optimal dividends under a drawdown constraint and a curious square-root rule. Authors: Nora Muler, Hansjörg Albrecher and Pablo Azcue. Finance & Stochastics, 27, 341-400, (2023).
- Optimal Reinsurance to Minimize the Probability of Drawdown under the Mean-Variance Premium Principle: Asymptotic Analysis. Authors: Nora Muler, Pablo Azcue, Xiaoqing Liang and Virginia R. Young. SIAM Journal on Financial Mathematics, 14, no. 1, 279-313, (2023).
- Optimal strategies in a production-inventory control model. Authors: Nora Muler, Pablo Azcue and Esther Frostig. Methodology and Computing in Applied Probability, 25, issue 1, art. 43, (2023).
- Robust estimation in partially nonlinear models. Authors: Daniela Rodríguez and Alberto Muñoz. Statistical Methods and Applications, 32, 1407-1437, (2023).
- Robust estimators in partly linear regression models on Riemannian manifolds. Authors: Daniela Rodríguez and Guillermo Henry. Communications in Statistics: Theory and Methods, 52, issue 14, 4835-4851, (2023).