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Alonso-Gutiérrez, David

Author ID: alonso-gutierrez.david Recent zbMATH articles by "Alonso-Gutiérrez, 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

Publications by Year

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 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

Citations by Year