Edit Profile (opens in new tab) Alonso-Gutiérrez, David Co-Author Distance Author ID: alonso-gutierrez.david Published as: Alonso-Gutiérrez, David; Alonso-Gutiérrez, D. Documents Indexed: 48 Publications since 2007, including 1 Book and 1 Additional arXiv Preprint Co-Authors: 32 Co-Authors with 41 Joint Publications 506 Co-Co-Authors all top 5 Co-Authors 7 single-authored 11 Prochno, Joscha 8 Bastero, Jesús 8 Bernués, Julio 6 González Merino, Bernardo 6 Hernández Cifre, María A. 5 Jiménez, Carlos Hugo 5 Villa, Rafael 4 Thäle, Christoph 3 Brazitikos, Silouanos 3 Yepes Nicolás, Jesús 2 Passenbrunner, Markus 1 Artstein-Avidan, Shiri 1 Besau, Florian 1 Carbery, Anthony 1 Christensen, Soren 1 Dafnis, Nikos 1 González, Bernardo 1 Grote, Julian 1 Henk, Martin 1 Kabluchko, Zakhar A. 1 Litvak, Aleksandr Evgen’evich 1 Lucas, Eduardo 1 Martín-Goñi, Javier 1 Martínez Fernández, Antonio R. 1 Paouris, Grigoris 1 Reitzner, Matthias 1 Roysdon, Michael 1 Tomczak-Jaegermann, Nicole 1 Vritsiou, Beatrice-Helen 1 Werner, Elisabeth M. 1 Wolff, Paweł 1 Zvavitch, Artem all top 5 Serials 7 Proceedings of the American Mathematical Society 6 Journal of Mathematical Analysis and Applications 5 Journal of Functional Analysis 4 The Journal of Geometric Analysis 2 Advances in Mathematics 2 Revista Matemática Iberoamericana 2 IMRN. International Mathematics Research Notices 2 Communications in Contemporary Mathematics 2 Advances in Geometry 1 Israel Journal of Mathematics 1 Studia Mathematica 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematika 1 Advances in Applied Mathematics 1 Discrete & Computational Geometry 1 Bernoulli 1 La Gaceta de la Real Sociedad Matemática Española 1 Lecture Notes in Mathematics all top 5 Fields 42 Convex and discrete geometry (52-XX) 17 Probability theory and stochastic processes (60-XX) 15 Functional analysis (46-XX) 6 Real functions (26-XX) 4 Combinatorics (05-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 245 times in 130 Documents Cited by ▼ Year ▼ Rogers-Shephard and local Loomis-Whitney type inequalities. Zbl 1423.52010 Alonso-Gutiérrez, David; Artstein-Avidan, Shiri; González Merino, Bernardo; Jiménez, Carlos Hugo; Villa, Rafael 22 2019 Large deviations for high-dimensional random projections of \(\ell_p^n\)-balls. Zbl 1391.60046 Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph 20 2018 Approaching the Kannan-Lovász-Simonovits and variance conjectures. Zbl 1318.52001 Alonso-Gutiérrez, David; Bastero, Jesús 19 2015 Rogers-Shephard inequality for log-concave functions. Zbl 1354.52004 Alonso-Gutiérrez, David; González Merino, Bernardo; Jiménez, C. Hugo; Villa, Rafael 18 2016 John’s ellipsoid and the integral ratio of a log-concave function. Zbl 1406.52011 Alonso-Gutiérrez, David; González Merino, Bernardo; Jiménez, C. Hugo; Villa, Rafael 16 2018 Gaussian fluctuations for high-dimensional random projections of \(\ell_p^n\)-balls. Zbl 1431.60011 Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph 16 2019 On the isotropy constant of random convex sets. Zbl 1157.52005 Alonso-Gutiérrez, David 14 2008 Zhang’s inequality for log-concave functions. Zbl 1446.52005 Alonso-Gutiérrez, David; Bernués, Julio; González Merino, Bernardo 13 2020 Brunn-Minkowski and Zhang inequalities for convolution bodies. Zbl 1281.52005 Alonso-Gutiérrez, David; Jiménez, C. Hugo; Villa, Rafael 9 2013 An extension of Berwald’s inequality and its relation to Zhang’s inequality. Zbl 1435.26019 Alonso-Gutiérrez, David; Bernués, Julio; González Merino, Bernardo 9 2020 On the isotropy constant of projections of polytopes. Zbl 1193.52005 Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio; Wolff, Paweł 8 2010 On the Gaussian behavior of marginals and the mean width of random polytopes. Zbl 1310.52006 Alonso-Gutiérrez, David; Prochno, Joscha 6 2015 A reverse Rogers-Shephard inequality for log-concave functions. Zbl 1409.52005 Alonso-Gutiérrez, David 6 2019 On Rogers-Shephard type inequalities for general measures. Zbl 1481.52007 Alonso-Gutiérrez, David; Hernández Cifre, María A.; Roysdon, Michael; Yepes Nicolás, Jesús; Zvavitch, Artem 6 2021 On the isotropic constant of random polytopes. Zbl 1338.52008 Alonso-Gutiérrez, David; Litvak, Alexander E.; Tomczak-Jaegermann, Nicole 5 2016 Large deviations, moderate deviations, and the KLS conjecture. Zbl 1486.60049 Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph 5 2021 Asymptotic normality for random simplices and convex bodies in high dimensions. Zbl 1468.52005 Alonso-Gutiérrez, D.; Besau, F.; Grote, J.; Kabluchko, Z.; Reitzner, M.; Thäle, C.; Vritsiou, B.-H.; Werner, E. 5 2021 A characterization of dual quermassintegrals and the roots of dual Steiner polynomials. Zbl 1393.52005 Alonso-Gutiérrez, David; Henk, Martin; Hernández Cifre, María A. 5 2018 The variance conjecture on hyperplane projections of the \(\ell_p^n\) balls. Zbl 1404.46013 Alonso-Gutiérrez, David; Bastero, Jesús 4 2018 On an extension of the Blaschke-Santaló inequality and the hyperplane conjecture. Zbl 1155.52004 Alonso-Gutiérrez, David 3 2008 Volume estimates for \(L_p\)-zonotopes and best best constants in Brascamp-Lieb inequalities. Zbl 1190.52005 Alonso-Gutiérrez, David 3 2010 Volume inequalities for the \(i\)-th-convolution bodies. Zbl 1305.52016 Alonso-Gutiérrez, David; González, Bernardo; Jiménez, Carlos Hugo 3 2015 Estimating support functions of random polytopes via Orlicz norms. Zbl 1279.60021 Alonso-Gutiérrez, David; Prochno, Joscha 3 2013 The variance conjecture on some polytopes. Zbl 1281.46013 Alonso-Gutiérrez, David; Bastero, Jesús 3 2013 Further inequalities for the (generalized) Wills functional. Zbl 1457.52003 Alonso-Gutiérrez, David; Hernández Cifre, María A.; Yepes Nicolás, Jesús 3 2021 A remark on the isotropy constant of polytopes. Zbl 1220.52003 Alonso-Gutiérrez, David 2 2011 High dimensional random sections of isotropic convex bodies. Zbl 1221.52007 Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio; Paouris, Grigoris 2 2010 On a reverse Petty projection inequality for projections of convex bodies. Zbl 1298.52006 Alonso-Gutiérrez, David 2 2014 Probabilistic estimates for tensor products of random vectors. Zbl 1348.46014 Alonso-Gutiérrez, David; Passenbrunner, Markus; Prochno, Joscha 2 2016 On mean outer radii of random polytopes. Zbl 1314.52005 Prochno, Joscha; Alonso-Gutiérrez, David; Dafnis, Nikos; Hernández-Cifre, Maria Á. 2 2014 Thin-shell concentration for random vectors in Orlicz balls via moderate deviations and Gibbs measures. Zbl 1487.46013 Alonso-Gutiérrez, David; Prochno, Joscha 2 2022 Factoring Sobolev inequalities through classes of functions. Zbl 1279.46023 Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio 2 2012 On the distribution of random variables corresponding to Musielak-Orlicz norms. Zbl 1318.46005 Alonso-Gutiérrez, David; Christensen, Sören; Passenbrunner, Markus; Prochno, Joscha 2 2013 Mean width of random perturbations of random polytopes. Zbl 1406.52010 Alonso-Gutiérrez, David; Prochno, Joscha 1 2017 On the geometry of random convex sets between polytopes and zonotopes. Zbl 1381.60031 Alonso-Gutiérrez, David; Prochno, Joscha 1 2017 Best approximation of functions by log-polynomials. Zbl 1498.41015 Alonso-Gutiérrez, David; González Merino, Bernardo; Villa, Rafael 1 2022 Reverse Loomis-Whitney inequalities via isotropicity. Zbl 1455.52002 Alonso-Gutiérrez, David; Brazitikos, Silouanos 1 2021 On Rogers-Shephard-type inequalities for the lattice point enumerator. Zbl 07725857 Alonso-Gutiérrez, David; Lucas, Eduardo; Yepes Nicolás, Jesús 1 2023 On Rogers-Shephard-type inequalities for the lattice point enumerator. Zbl 07725857 Alonso-Gutiérrez, David; Lucas, Eduardo; Yepes Nicolás, Jesús 1 2023 Thin-shell concentration for random vectors in Orlicz balls via moderate deviations and Gibbs measures. Zbl 1487.46013 Alonso-Gutiérrez, David; Prochno, Joscha 2 2022 Best approximation of functions by log-polynomials. Zbl 1498.41015 Alonso-Gutiérrez, David; González Merino, Bernardo; Villa, Rafael 1 2022 On Rogers-Shephard type inequalities for general measures. Zbl 1481.52007 Alonso-Gutiérrez, David; Hernández Cifre, María A.; Roysdon, Michael; Yepes Nicolás, Jesús; Zvavitch, Artem 6 2021 Large deviations, moderate deviations, and the KLS conjecture. Zbl 1486.60049 Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph 5 2021 Asymptotic normality for random simplices and convex bodies in high dimensions. Zbl 1468.52005 Alonso-Gutiérrez, D.; Besau, F.; Grote, J.; Kabluchko, Z.; Reitzner, M.; Thäle, C.; Vritsiou, B.-H.; Werner, E. 5 2021 Further inequalities for the (generalized) Wills functional. Zbl 1457.52003 Alonso-Gutiérrez, David; Hernández Cifre, María A.; Yepes Nicolás, Jesús 3 2021 Reverse Loomis-Whitney inequalities via isotropicity. Zbl 1455.52002 Alonso-Gutiérrez, David; Brazitikos, Silouanos 1 2021 Zhang’s inequality for log-concave functions. Zbl 1446.52005 Alonso-Gutiérrez, David; Bernués, Julio; González Merino, Bernardo 13 2020 An extension of Berwald’s inequality and its relation to Zhang’s inequality. Zbl 1435.26019 Alonso-Gutiérrez, David; Bernués, Julio; González Merino, Bernardo 9 2020 Rogers-Shephard and local Loomis-Whitney type inequalities. Zbl 1423.52010 Alonso-Gutiérrez, David; Artstein-Avidan, Shiri; González Merino, Bernardo; Jiménez, Carlos Hugo; Villa, Rafael 22 2019 Gaussian fluctuations for high-dimensional random projections of \(\ell_p^n\)-balls. Zbl 1431.60011 Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph 16 2019 A reverse Rogers-Shephard inequality for log-concave functions. Zbl 1409.52005 Alonso-Gutiérrez, David 6 2019 Large deviations for high-dimensional random projections of \(\ell_p^n\)-balls. Zbl 1391.60046 Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph 20 2018 John’s ellipsoid and the integral ratio of a log-concave function. Zbl 1406.52011 Alonso-Gutiérrez, David; González Merino, Bernardo; Jiménez, C. Hugo; Villa, Rafael 16 2018 A characterization of dual quermassintegrals and the roots of dual Steiner polynomials. Zbl 1393.52005 Alonso-Gutiérrez, David; Henk, Martin; Hernández Cifre, María A. 5 2018 The variance conjecture on hyperplane projections of the \(\ell_p^n\) balls. Zbl 1404.46013 Alonso-Gutiérrez, David; Bastero, Jesús 4 2018 Mean width of random perturbations of random polytopes. Zbl 1406.52010 Alonso-Gutiérrez, David; Prochno, Joscha 1 2017 On the geometry of random convex sets between polytopes and zonotopes. Zbl 1381.60031 Alonso-Gutiérrez, David; Prochno, Joscha 1 2017 Rogers-Shephard inequality for log-concave functions. Zbl 1354.52004 Alonso-Gutiérrez, David; González Merino, Bernardo; Jiménez, C. Hugo; Villa, Rafael 18 2016 On the isotropic constant of random polytopes. Zbl 1338.52008 Alonso-Gutiérrez, David; Litvak, Alexander E.; Tomczak-Jaegermann, Nicole 5 2016 Probabilistic estimates for tensor products of random vectors. Zbl 1348.46014 Alonso-Gutiérrez, David; Passenbrunner, Markus; Prochno, Joscha 2 2016 Approaching the Kannan-Lovász-Simonovits and variance conjectures. Zbl 1318.52001 Alonso-Gutiérrez, David; Bastero, Jesús 19 2015 On the Gaussian behavior of marginals and the mean width of random polytopes. Zbl 1310.52006 Alonso-Gutiérrez, David; Prochno, Joscha 6 2015 Volume inequalities for the \(i\)-th-convolution bodies. Zbl 1305.52016 Alonso-Gutiérrez, David; González, Bernardo; Jiménez, Carlos Hugo 3 2015 On a reverse Petty projection inequality for projections of convex bodies. Zbl 1298.52006 Alonso-Gutiérrez, David 2 2014 On mean outer radii of random polytopes. Zbl 1314.52005 Prochno, Joscha; Alonso-Gutiérrez, David; Dafnis, Nikos; Hernández-Cifre, Maria Á. 2 2014 Brunn-Minkowski and Zhang inequalities for convolution bodies. Zbl 1281.52005 Alonso-Gutiérrez, David; Jiménez, C. Hugo; Villa, Rafael 9 2013 Estimating support functions of random polytopes via Orlicz norms. Zbl 1279.60021 Alonso-Gutiérrez, David; Prochno, Joscha 3 2013 The variance conjecture on some polytopes. Zbl 1281.46013 Alonso-Gutiérrez, David; Bastero, Jesús 3 2013 On the distribution of random variables corresponding to Musielak-Orlicz norms. Zbl 1318.46005 Alonso-Gutiérrez, David; Christensen, Sören; Passenbrunner, Markus; Prochno, Joscha 2 2013 Factoring Sobolev inequalities through classes of functions. Zbl 1279.46023 Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio 2 2012 A remark on the isotropy constant of polytopes. Zbl 1220.52003 Alonso-Gutiérrez, David 2 2011 On the isotropy constant of projections of polytopes. Zbl 1193.52005 Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio; Wolff, Paweł 8 2010 Volume estimates for \(L_p\)-zonotopes and best best constants in Brascamp-Lieb inequalities. Zbl 1190.52005 Alonso-Gutiérrez, David 3 2010 High dimensional random sections of isotropic convex bodies. Zbl 1221.52007 Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio; Paouris, Grigoris 2 2010 On the isotropy constant of random convex sets. Zbl 1157.52005 Alonso-Gutiérrez, David 14 2008 On an extension of the Blaschke-Santaló inequality and the hyperplane conjecture. Zbl 1155.52004 Alonso-Gutiérrez, David 3 2008 all cited Publications top 5 cited Publications all top 5 Cited by 142 Authors 27 Alonso-Gutiérrez, David 23 Prochno, Joscha 20 Thäle, Christoph 10 González Merino, Bernardo 9 Kabluchko, Zakhar A. 8 Huang, Qingzhong 7 Li, Aijun 6 Bernués, Julio 6 Jiménez, Carlos Hugo 5 Fang, Niufa 5 Villa, Rafael 4 Giannopoulos, Apostolos A. 4 Hernández Cifre, María A. 4 Johnston, Samuel G. G. 4 Werner, Elisabeth M. 3 Besau, Florian 3 Cattiaux, Patrick 3 Guillin, Arnaud 3 Gusakova, Anna Grigorevna 3 Kaufmann, Tom 3 Kim, Steven Soojin 3 Klartag, Bo’az 3 Ramanan, Kavita 3 Roysdon, Michael 3 Schütt, Carsten 3 Tsolomitis, Antonis 3 Xi, Dongmeng 3 Yepes Nicolás, Jesús 3 Zhou, Jiazu 3 Zvavitch, Artem 2 Artstein-Avidan, Shiri 2 Barthe, Franck 2 Brazitikos, Silouanos 2 Chen, Fangwei 2 Dafnis, Nikos 2 Fang, Jianbo 2 Fradelizi, Matthieu 2 Galicer, Daniel 2 Grote, Julian 2 Guédon, Olivier 2 Haddad, Julián E. 2 Heiny, Johannes 2 Hioni, Labrini 2 Hörrmann, Julia 2 Hug, Daniel 2 Ivanov, Grigory M. 2 Kolesnikov, Alexander V. 2 Li, Ben 2 Liao, Yin-Ting 2 Lucas, Eduardo 2 Luo, Miao 2 Martín-Goñi, Javier 2 Meckes, Mark W. 2 Merzbacher, Mariano 2 Milman, Emanuel 2 Montenegro, Marcos 2 Reitzner, Matthias 2 Tárraga, Miriam 2 Vritsiou, Beatrice-Helen 2 Wolff, Paweł 2 Xing, Sudan 2 Yang, Congli 1 Adamczak, Radosław 1 Ai, Wen 1 Arras, Benjamin 1 Baci, Anastas 1 Bastero, Jesús 1 Bölcskei, Helmut 1 Bonnet, Gilles 1 Böröczky, Karoly jun. 1 Brandenberg, René 1 Candès, Emmanuel J. 1 Carbery, Anthony 1 Chewi, Sinho 1 Colesanti, Andrea 1 da Silva, Letícia Alves 1 Dadoun, Benjamin 1 Eldan, Ronen 1 Fathi, Max 1 Feng, Youran 1 Fernández Vidal, Tomás 1 Fodor, Ferenc 1 Freyer, Ansgar 1 Frühwirth, Lorenz 1 Gerber, Patrik 1 González, Bernardo 1 Hansen, Gerd 1 He, Binwu 1 Heckel, Reinhard 1 Henk, Martin 1 Herburt, Irmina 1 Houdré, Christian 1 Jiao, Yong 1 Langharst, Dylan 1 Leinster, Tom 1 Li, Chao 1 Liakopoulos, Dimitris-Marios 1 Litvak, Aleksandr Evgen’evich 1 Ludwig, Monika 1 Madiman, Mokshay M. ...and 42 more Authors all top 5 Cited in 53 Serials 12 The Journal of Geometric Analysis 11 Journal of Functional Analysis 8 Journal of Mathematical Analysis and Applications 8 Proceedings of the American Mathematical Society 6 Advances in Mathematics 4 Studia Mathematica 4 Communications in Contemporary Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Nachrichten 3 Results in Mathematics 3 Advances in Applied Mathematics 3 Journal of Complexity 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Calculus of Variations and Partial Differential Equations 3 Electronic Journal of Probability 3 Bernoulli 2 The Annals of Probability 2 Geometriae Dedicata 2 Journal of Applied Probability 2 Mathematische Annalen 2 Discrete & Computational Geometry 2 Journal of Inequalities and Applications 2 Advances in Geometry 2 Journal of Function Spaces 2 Bulletin of the Hellenic Mathematical Society 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Mathematika 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Probability and Mathematical Statistics 1 Chinese Annals of Mathematics. Series B 1 SIAM Journal on Discrete Mathematics 1 International Journal of Mathematics 1 Aequationes Mathematicae 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 St. Petersburg Mathematical Journal 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mediterranean Journal of Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Electronic Journal of Statistics 1 Science China. Mathematics 1 Information and Inference 1 Modern Stochastics. Theory and Applications 1 Annales Henri Lebesgue all top 5 Cited in 20 Fields 101 Convex and discrete geometry (52-XX) 61 Probability theory and stochastic processes (60-XX) 34 Functional analysis (46-XX) 27 Real functions (26-XX) 5 Geometry (51-XX) 4 Partial differential equations (35-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year