María A.    
Hernández Cifre



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    • On discrete log-Brunn-Minkowski type inequalities jointly with Eduardo Lucas
    SIAM J. Discrete Math. 36 (3) (2022), 10.1137/21M1451725
    preprint 12/2021

    • On discrete Lp Brunn-Minkowski type inequalities jointly with Eduardo Lucas and Jesús Yepes
    Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 116 (2022), Article 164
    arXiv:2105.11441

    • On the roots of polynomials with log-convex coefficients jointly with Miriam Tárraga and Jesús Yepes
    Canad. J. Math. 75 (2) (2023), 470-493
    preprint 02/2022

    • Isoperimetric relations for inner parallel bodies jointly with Eugenia Saorín
    To appear in Commun. Anal. Geom.
    preprint 10/2019

    • Una introducción a la Geometría Convexa y Discreta jointly with Jesús Yepes Nicolás
    Editorial Aula Magna - McGraw-Hill, 2021. ISBN: 978-84-18808-44-9

    • On the (dual) Blaschke diagram jointly with Miriam Tárraga
    Bull. Braz. Math. Soc. New Series 52 (2021), 291-305
    preprint 10/2019

    • Further inequalities for the (generalized) Wills functional jointly with David Alonso Gutiérrez and Jesús Yepes Nicolás
    Commun. Contemp. Math. 23 (3) (2021), 2050011
    arXiv:1912.07993

    • On Rogers-Shephard type inequalities for general measures jointly with David Alonso Gutiérrez, Michael Roysdon, Jesús Yepes Nicolás and Artem Zvavitch
    Int. Math. Res. Not. IMRN 2021 (10) (2021), 7224-7261
    arXiv:1809.04051

    • Un curso de Geometría Diferencial. 2da edición revisada y ampliada jointly with José Antonio Pastor González
    Publicaciones CSIC, Textos Universitarios, Madrid 2019. ISBN: 978-84-00105-44-0

    • A characterization of dual quermassintegrals and the roots of dual Steiner polynomials jointly with David Alonso Gutiérrez and Martin Henk
    Adv. Math. 331 (2018), 565-588
    preprint 02/2018

    • On a discrete Brunn-Minkowski type inequality jointly with David Iglesias López and Jesús Yepes Nicolás
    SIAM J. Discrete Math. 32 (2018), 1840-1856
    preprint 04/2018

    • Mean projection and section radii of convex bodies jointly with Judit Abardia-Evéquoz and Eugenia Saorín
    Acta Math. Hung. 155 (2018), 89-103
    preprint 10/2017

    • Estimates for the integrals of powered i-th mean curvatures jointly with David Alonso Gutiérrez
    In: Bianchi G., Colesanti A., Gronchi P. (eds), Analytic Aspects of Convexity. Springer INdAM Series, vol 25. Cham, Springer, 2018. pp. 19-37
    preprint 05/2017

    • Bounding the integral of powered i-th mean curvatures jointly with David Alonso Gutiérrez and Antonio R. Martínez Fernández
    Rev. Mat. Iberoamericana 33 (4) (2017), 1197-1218
    preprint 07/2015

    • Brunn-Minkowski and Prékopa-Leindler's inequalities under projection assumptions jointly with Jesús Yepes Nicolás
    J. Math. Anal. Appl. 455 (2017), 1257-1271
    preprint 03/2017

    • Differentiability properties of the family of p-parallel bodies jointly with Antonio R. Martínez Fernández and Eugenia Saorín
    Appl. Anal. Discr. Math. 10 (2016), 186-207
    preprint 07/2015

    • Variations of Minkowski's theorem on successive minima jointly with Martin Henk and Matthias Henze
    Forum Math. 28 (2) (2016), 311-325
    arXiv:1405.4993

    • On Brunn-Minkowski type inequalities for polar bodies jointly with Jesús Yepes Nicolás
    J. Geom. Anal. 26 (2016), 143-155
    preprint 06/2014

    • The isodiametric problem and other inequalities in the constant curvature 2-spaces jointly with Antonio R. Martínez Fernández
    Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 109 (2015), 315-325
    preprint 06/2014

    • On the roots of generalized Wills mu-polynomials jointly with Jesús Yepes Nicolás
    Rev. Mat. Iberoamericana 31 (2) (2015), 477-496
    preprint 07/2013

    • Successive radii of families of convex bodies jointly with Bernardo González and Aicke Hinrichs
    Bull. Austral. Math. Soc. 91 (2015), 331-344
    preprint 11/2014

    • On mean outer radii of random polytopes jointly with David Alonso Gutiérrez, Nikos Dafnis and Joscha Prochno
    Indiana U. Math. J. 63 (2) (2014), 579-595
    arXiv:1211.2336

    • Refinements of the Brunn-Minkowski inequality jointly with Jesús Yepes Nicolás
    J. Convex Anal. 21 (3) (2014), 1-17
    preprint 06/2013

    • Differentiability of quermassintegrals: a classification of convex bodies jointly with Eugenia Saorín
    Trans. Amer. Math. Soc. 366 (2014), 591-609
    preprint 10/2011

    • On successive radii and p-sums of convex bodies jointly with Bernardo González
    Adv. Geom. 14 (1) (2014), 117-128
    preprint 11/2012

    • On the roots of the Wills functional jointly with Jesús Yepes Nicolás
    J. Math. Anal. Appl. 401 (2013), 733-742
    preprint 09/2012

    • Steiner polynomials via ultra-logconcave sequences jointly with Martin Henk and Eugenia Saorín
    Commun. Contemp. Math. 14 (6) (2012), 1-16
    preprint 12/2011

    • Successive radii and Minkowski addition jointly with Bernardo González
    Monatsh. Math. 166 (2012), 395-409
    preprint 11/2010

    • Coverings and compressed lattices jointly with Martin Henk
    Symmetry Cult. Sci. 22 (3-4) (2011), 307-316
    preprint 07/2009

    • On the location of roots of Steiner polynomials jointly with Martin Henk
    Bull. Braz. Math. Soc. 42 (1) (2011), 153-170
    preprint 08/2010

    • Un curso de Geometría Diferencial jointly with José Antonio Pastor González
    Publicaciones del CSIC, Textos Universitarios 47, Madrid 2010. ISBN: 978-84-00091-54-5

    • La geometría escondida en los ceros del polinomio de Steiner Gac. R. Soc. Mat. Esp. 13 (2) (2010), 265-281

    • On inner parallel bodies and quermassintegrals jointly with Eugenia Saorín
    Israel J. Math. 177 (2010), 29-47
    preprint 07/2008

    • On the volume of inner parallel bodies jointly with Eugenia Saorín
    Adv. Geom. 10 (2) (2010), 275-286
    preprint 01/2008

    • On differentiability of quermassintegrals jointly with Eugenia Saorín
    Forum Math. 22 (1) (2010), 115-126
    preprint 04/2008

    • Relating the minimal annulus with the circumradius of a convex set jointly with Pedro Herrero
    J. Math. Inequal. 4 (1) (2010), 133-149
    preprint 11/2008

    • Successive minima and radii jointly with Martin Henk
    Canad. Math. Bull. 52 (3) (2009), 380-387
    preprint 03/2008

    • Notes on the roots of Steiner polynomials jointly with Martin Henk
    Rev. Mat. Iberoamericana 24 (2) (2008), 631-644
    arXiv:math.MG/0703373

    • The isodiametric problem with lattice-points constraints jointly with Achill Schürmann and Frank Vallentin
    Monatsh. Math. 155 (2) (2008), 125-134
    arXiv:math.MG/07092587

    • Intrinsic volumes and successive radii jointly with Martin Henk
    J. Math. Anal. Appl. 343 (2) (2008), 733-742

    • Optimizing geometric measures for fixed minimal annulus and inradius jointly with Pedro Herrero
    Rev. Mat. Iberoamericana 23 (3) (2007), 953-971

    • The isodiametric problem for lattice-point-free convex sets jointly with Salvatore Vassallo
    Acta Math. Hungar. 114 (4) (2007), 337-355

    • On the roots of the Steiner polynomial of a 3-dimensional convex body jointly with Eugenia Saorín
    Adv. Geom. 7 (2007), 275-294

    • Some geometric properties of the roots of the Steiner polynomial jointly with Eugenia Saorín
    Rend. Circ. Mat. Palermo 77 (II) (2006), 319-332

    • Some optimization problems for the minimal annulus of a convex set jointly with Pedro Herrero
    Math. Ineq. Appl. 9 (2) (2006), 359-374

    • Two Optimization Problems for Convex Bodies in the n-dimensional Space jointly with Guillermo Salinas and Salvador Segura
    Beiträge Algebra Geom. 45 (2) (2004), 549-555

    • Proccedings of the II International Meeting on Lorentzian Geometry, Murcia 2003 jointly with Luis Alías, Ángel Ferrández, Pascual Lucas and José A. Pastor, eds.
    Publicaciones de la Real Sociedad Matemática Española, Vol. 8, 2004, ISBN: 84-933610-5-4

    • Algunos aspectos matemáticos de la doble estructura helicoidal del ADN jointly with Angel Ferrández and José A. Pastor
    Gac. R. Soc. Mat. Esp. 6 (3) (2003), 557-570

    • Complete systems of inequalities for centrally symmetric convex sets in the
    n-dimensional space     jointly with Guillermo Salinas, José A. Pastor and Salvador Segura
    Arch. Inequal. Appl. 1 (2003), 155-167

    • Optimizing area and perimeter of convex sets for fixed circumradius and inradius jointly with Karoly Böröczky Jr. and Guillermo Salinas
    Monatsh. Math. 138 (2003), 95-110

    • Some optimization problems for planar convex figures jointly with Guillermo Salinas
    Rend. Circ. Mat. Palermo 70 (II) (2002), 395-405

    • Optimizing the perimeter and the area of convex sets with fixed diameter and circumradiusArch. Math. 79 (2002), 147-157

    • Complete systems of inequalities jointly with Guillermo Salinas and Salvador Segura
    in: Homenatge al professor Lluís Santaló i Sors, Ed. les Áligues, Universitat de Girona (2002)
    ISBN: 84-8458-176-4

    • Complete systems of inequalities for centrally symmetric planar convex sets jointly with Guillermo Salinas and Salvador Segura
    Intern. Math. J. 2 (2002), 39-49

    • Area-inradius and diameter-inradius relations for covering plane sets Ann. Univ. Sci. Budapest 44 (2001), 95-105

    • Complete systems of inequalities jointly with Guillermo Salinas and Salvador Segura
    J. Inequal. Pure Appl. Math. 2 (2001), 1-12

    • Bounds for the area and width of lattice-constrained convex sets in the plane jointly with Guillermo Salinas and Salvador Segura
    Rend. Circ. Mat. Palermo 65 (II) (2000), 157-165

    • Some covering problems for general planar lattices Rend. Circ. Mat. Palermo 65 (II) (2000), 147-155

    • Is there a planar convex set with given width, diameter and inradius? Amer. Math. Monthly 107 (2000), 893-900

    • The missing boundaries of the Santaló diagrams for the cases (d,w,R) and (w,R,r) jointly with Salvador Segura
    Discrete Comput. Geom. 23 (2000), 381-388

    • Some inequalities for planar convex sets containing one lattice-point jointly with Salvador Segura
    Bull. Austral. Math. Soc. 58 (1998), 159-166

    • Some area-diameter inequalities for two-dimensional lattices jointly with Salvador Segura
    Geom. Dedicata 72 (1998), 325-330

    • An isodiametric problem with lattice-point constraints jointly with Paul R. Scott
    Bull. Austral. Math. Soc. 57 (1998), 289-294

    • On the centre of gravity and width of lattice-constrained convex sets in the plane jointly with Salvador Segura and Paul R. Scott
    Beiträge Algebra Geom. 38 (1997), 423-427

    • Desigualdades geométricas con restricciones a retículos y condiciones de existencia de puntos reticulares en dominios convexosPh.D. Thesis, Universidad de Murcia, 1998.

    • Algunos problemas de optimización en Geometría de Números: generalizaciones y extensiones del Teorema de MinkowskiM.Sc. Thesis, Universidad de Murcia, 1996.
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