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Linear inequalities for mixed volumes: classical results under new assumptions(joint work with Nico Lombardi, Christian Richter, and Linus Wiegmann)Preprint (preprint version) |
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On a Brunn-Minkowski principle for first-order information functionals(joint work with Lidia Gordo Malagón and Jesús Yepes Nicolás)Submitted (arxiv version) |
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Refinements of L_p Brunn-Minkowski type inequalities(joint work with Andrea Colesanti, Nico Lombardi and Jesús Yepes Nicolás)in preparation pdf preprint ) |
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On means of determinants of matrix projections(joint work with Nico Lombardi and Linus Wiegmann)The Electronic Journal of Linear Algebra 42 (2026) (preprint version) |
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Geometric properties of p-inner parallel bodies.(joint work with María A. Hernández Cifre and Antonio Roberto Martínez Fernández)Anal. Geom. Metr. Spaces 13 (1) (2025) (preprint version) |
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On Cheeger sets and canal classes of convex bodies(joint work with Nico Lombardi and Christian Richter)To appear in Commun. Contemp. Math. (2025), doi.org/10.1142/S0219199725501007 (preprint version) |
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Geometric inequalities derived from classical matrix inequalities(joint work with Nico Lombardi)Positivity 28, 26 (2024) (preprint version) |
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Mean radii of symmetrizations of a convex body(joint work with Nico Lombardi)Contributions to Algebra and Geometry 65 (2024) (preprint version) |
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Un contraejemplo al Problema 19 de Ulam del Cuaderno Escocés(joint work with María de los Ángeles Alfonseca Cubero)Gac. R. Soc. Mat. Esp., Vol. 26, num. 3 (2023) (preprint version) |
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On linearized versions of matrix inequalities(joint work with Christopher de Vries and Nico Lombardi)Linear Algebra and Its Applications 674 (2023) (preprint version) |
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On the monotonicity of the isoperimetric quotient for parallel bodies(joint work with Christian Richter)J. Geom. Anal. 32 (15) (2022) (preprint version) |
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Isoperimetric relations for inner parallel bodies(joint work with María A. Hernández Cifre)Commun. Anal. Geom. 30 (10) (2022) (preprint) |
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On a reverse isoperimetric inequality for relative outer parallel bodies(joint work with Jesú Yepes Nicolás)Proc. Amer. Math. Soc. 148 (2020) (preprint version ) |
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Minkowski additive operators under volume constraints(joint work with Judit Abardia and Andrea Colesanti)J. Geom. Anal. 28 (3) (2018) (preprint 02/2017) |
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Minkowski valuations under volume constraints(joint work with Judit Abardia and Andrea Colesanti)Adv. Math. 333 (2018) (preprint 01/2017) |
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Mean projection and section radii of convex bodies(joint work with Judit Abardia-Evéquoz and María A. Hernández Cifre)Acta Math. Hung. 155 (1) (2018) (preprint 01/2017) |
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The role of the Rogers-Shephard inequality in the characterization of the difference body.(joint work with Judit Abardia)Forum Math. 29 (6) (2017) (Doi: https://doi.org/10.1515/forum-2016-0101) (preprint 01/2016) |
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Monotonicity and concavity of integral functionals involving area measures of convex bodies.(joint work with Andrea Colesanti and Daniel Hug)Commun. Contemp. Math. 19 (02) (2017) (preprint 04/2016) |
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Differentiability properties of the family of p-parallel bodies.(joint work with María A. Hernández Cifre and Antonio Roberto Martínez Fernández)Appl. Anal. Discr. Math. 10 (2016) (preprint 04/2016) |
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p-difference: a counterpart of Minkowski difference in the framework of the Firey-Brunn-Minkowski Theory.(joint work with Antonio Roberto Martínez Fernández and Jesús Yepes Nicolás)J. RACSAM (2016) 110: 613. (preprint 10/2015) |
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On a linear refinement of the Prékopa-Leindler inequality(joint work with Andrea Colesanti and Jesús Yepes Nicolás)Canad. J. Math. 68 (2016) (preprint 03/2015) |
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Linearity of the volume. Looking for a characterization of sausages(joint work with Jesús Yepes Nicolás)J. Math. Anal. Appl. 421 (2) (2015) (preprint 08/2013) |
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How do difference bodies in complex vector spaces look like? A geometrical approach(joint work with Judit Abardia)Commun. Contemp. Math. 17 (4) (2015) (preprint 12/2013) |
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Kernel center of a convex body(joint work with Maria Moszynska)Beitr. Algebra Geom. 55 (2) (2014) (preprint 07/2013) |
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Decomposition of polytopes using inner parallel bodies(joint work with Eva Linke)Monatsh. Math. 176, (4) (2015) (preprint 03/2013) |
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A characterization of mixed volumes via the Brunn-Minkowski inequality(joint work with Andrea Colesanti and Daniel Hug)J. Geom. Anal. 24 (2) (2014), 1064-1091 (DOI 10.1007/s12220-012-9364-7) (preprint 09/2012) |
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Differentiability of quermassintegrals: a classification of convex bodies(joint work with María A. Hernández Cifre)Trans. Amer. Math. Soc. 366 (2) (2014), 591--609 (preprint 10/2011) |
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The role of the kernel in Bonnesen-style inradius inequalitiesMonatsh. Math. 171 (1) (2013) (preprint 06/2012) |
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Steiner polynomials via ultra-logconcave sequences(joint work with Martin Henk and María A. Hernández Cifre)Commun. Contemp. Math. 14 (2012) (preprint 12/2011) |
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Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals of convex bodies(joint work with Andrea Colesanti)J. Convex Anal. 17 (1) (2010) (preprint 04/2008) |
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On inner parallel bodies and quermassintegrals(joint work with María A. Hernández Cifre)Israel J. Math. 177 (2010), 29-48 (preprint 03/2009) |
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On differentiability of quermassintegrals(joint work with María A. Hernández Cifre)Forum Math. 22 (1) (2010), 115-126 (preprint 04/2008) |
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On the volume of inner parallel bodies(joint work with María A. Hernández Cifre)Adv. Geom. 10 (2) (2010), 275-286 (preprint 03/2009) |
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On Hadwiger's problem on inner parallel bodiesBanach Center Publ. 84 (2009), 121-129 |
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On the roots of the Steiner polynomial of a 3-dimensional convex body(joint work with María A. Hernández Cifre)Adv. Geom. 7 (2007), 275-294 |
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Some geometric properties of the roots of the Steiner polynomial(joint work with María A. Hernández Cifre)Rend. Circ. Mat. Palermo 77 (II) (2006), 319-332 |
