Perfil (CV) del personal docente investigador

Alonso Gutiérrez, David
Departamento: Departamento de Matemáticas
Área: Análisis Matemático
Centro: Facultad de Ciencias

Research Institute: INSTITUTO UNIVERSITARIO DE MATEMÁTICAS Y APLICACIONES (IUMA)
Grupo: E26_17R: ANÁLISIS MATEMÁTICO Y APLICACIONES
Categoría profesional: Profesor contratado doctor
Correo electrónico: alonsod@unizar.es
ORCID: 0000-0003-1256-3671

Líneas de investigación
  • Convexidad
  • Poliedros y politopos
  • Análisis matemático

Formación académica
  • Doctor en Programa Oficial de Posgrado en Métodos matemáticos y sus aplicaciones. Universidad de Zaragoza. 2010
  • Máster Universitario en Iniciación a la Investigación en Matemáticas. Universidad de Zaragoza. 2007
  • Licenciado en matemáticas. Universidad de Zaragoza. 2006

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Artículos

  • Alonso Gutiérrez, David. A reverse Rogers-Shephard inequality for log-concave functions. JOURNAL OF GEOMETRIC ANALYSIS. 2019

  • Alonso-Gutiérrez, D.; Bernués, J. The square negative correlation property on lpn - balls. ISRAEL JOURNAL OF MATHEMATICS. 2019

  • Alonso Gutiérrez, David; Hernández Cifre,María A.; Roysdon, Michael; Yepes Nicolás, Jesús; Zvavitch Artrem. On Rogers-Shephard type inequalities for general measures. INTERNATIONAL MATHEMATICS RESEARCH NOTICES. 2019

  • Alonso-Gutiérrez, D.; Henk, M.; Hernández Cifre, M.A. A characterization of dual quermassintegrals and the roots of dual Steiner polynomials. ADVANCES IN MATHEMATICS. 2018

  • Alonso Gutiérrez, David; Bastero Eleizalde, Jesús. The variance conjecture on hyperplane projections of the l_p^n balls. REVISTA MATEMATICA IBEROAMERICANA. 2018

  • Hernández Cifre, M.A.; Alonso-Gutiérrez, D. Estimates for the integrals of powered i-th mean curvatures. SPRINGER INDAM SERIES. 2018

  • Alonso Gutiérrez, David; Prochno, Joscha; Thäle, Christoph. Large deviations for high-dimensional random projections of l_p^n balls. ADVANCES IN APPLIED MATHEMATICS. 2018

  • Alonso Gutiérrez, David; González Merino, Bernardo; Jiménez, Carlos Hugo; Villa Rafael. John's ellipsoid and the integral ratio of a log-concave function. JOURNAL OF GEOMETRIC ANALYSIS. 2018

  • Alonso-Gutiérrez, David; Prochno, Joscha. On the geometry of random convex sets between polytopes and zonotopes. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2017

  • Alonso-Gutiérrez, D.; Prochno, J. Mean width of random perturbations of random polytopes. ADVANCES IN GEOMETRY. 2017

  • Alonso-Gutiérrez, D.; Bernués, J. The variance conjecture on projections of the cube. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2017

  • Alonso-Gutiérrez, David. Distribution of mass in high-dimensional convex bodies. REVISTA DE LA ACADEMIA DE CIENCIAS EXACTAS, FÍSICO-QUÍMICAS Y NATURALES DE ZARAGOZA. 2017

  • Alonso Gutiérrez, David; Hernández Cifre, María Ángeles; Martínez Fernández, Antonio Roberto. Bounding the integral of powered i-th mean curvatures. REVISTA MATEMATICA IBEROAMERICANA. 2017

  • Alonso-Gutiérrez, D.; González Merino, B.; Jiménez, C.H.; Villa, R. Rogers–Shephard inequality for log-concave functions. JOURNAL OF FUNCTIONAL ANALYSIS. 2016

  • Alonso Gutiérrez, David; Passenbrunner, Markus; Prochno, Joscha. Probabilistic estimates for tensor products of random vectors. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2016

  • Alonso Gutiérrez, David; Litvak, Alexander; Tomczak-Jaegermann, Nicole. On the isotropy constant of random polytopes. JOURNAL OF GEOMETRIC ANALYSIS. 2016

  • Alonso Gutiérrez, David; Prochno, Joscha. On the Gaussian behavior of marginals and the mean width of random polytopes. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2015

  • Alonso Gutiérrez, David; González, Bernardo; Jiménez, Carlos Hugo. Volume inequalitites for the i-th convolution bodies. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2015

  • Alonso Gutiérrez, David. On a reverse Petty projection inequality for projections of convex bodies. ADVANCES IN GEOMETRY. 2014

  • Alonso Gutiérrez, David; Dafnis, Nikos; Prochno, Joscha; Hernández Cifre, María Ángeles. On mean outer radii of random polytopes. INDIANA UNIVERSITY MATHEMATICS JOURNAL. 2014

  • Alonso-Gutiérrez, D.;Bastero, J. The Variance Conjecture on Some Polytopes. FIELDS INSTITUTE COMMUNICATIONS. 2013

  • Alonso Gutiérrez, David; Jiménez Gómez, Carlos Hugo; Villa Caro, Rafael. Brunn-Minkowski and Zhang inequalities for convolution bodies. ADVANCES IN MATHEMATICS. 2013

  • Alonso Gutiérrez, David; Prochno Joscha. Estimating support functions of random polytopes via Orlicz norms. DISCRETE & COMPUTATIONAL GEOMETRY. 2013

  • Alonso Gutiérrez, David; Christensen, Sören; Passenbrunner, Markus; Prochno, Joscha. On the distribution of random variables corresponding to Musielak-Orlicz norms. STUDIA MATHEMATICA. 2013

  • Alonso-Gutiérrez,D.;Bastero,J.;Bernués,J. Factoring sobolev inequalities through classes of functions. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2012

  • Alonso-Gutiérrez, D. A remark on the isotropy constant of polytopes. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2011

  • Alonso-Gutiérrez, D.; Bastero, J.; Bernués, J.; Paouris, G. High dimensional random sections of isotropic convex bodies. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2010

  • Alonso, David; Bastero, Jesús; Bernués, Julio; Wolff, Pawel. On the isotropy constant of projections of polytopes. JOURNAL OF FUNCTIONAL ANALYSIS. 2010

  • Alonso Gutiérrez, David. Volume estimates for L_p zonotopes and best best constants in Brascamp-Lieb inequalities. MATHEMATIKA. 2010

  • Alonso Gutiérrez, David. On an extension of the Blaschke-Santaló inequality and the hyperplane conjecture. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2008

  • Alonso Gutiérrez, David. On the isotropy constant of random convex sets. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2008

Libros

  • David Alonso-Gutierrez, Jesús Bastero. Approaching the Kannan-Lovász-Simonovits and variance conjectures. 2015

  • David Alonso Gutiérrez. Algunos problemas en análisis geométrico asintótico. 2010

Capítulos

  • Estimates for the integrals of powered i-th mean curvatures. Alonso Gutiérrez, David; Hernández Cifre, María Ángeles. ANALYTIC ASPECTS OF CONVEXITY. 2018

  • Convex inequalities, isoperimetry and spectral gap. Alonso Gutiérrez, David; Baster, Jesús. ADVANCED COURSES OF MATHEMATICAL ANALYSIS VI. 2017

  • D. Alonso, J. Bastero [et al.]. The slicing problem for hyperplane projections of Bn p. THE SLICING PROBLEM FOR HYPERPLANE PROJECTIONS OF BN P. 2009



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