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Cordero-Erausquin, Dario

Author ID: cordero-erausquin.dario Recent zbMATH articles by "Cordero-Erausquin, Dario"
Published as: Cordero-Erausquin, Dario; Cordero-Erausquin, D.

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 870 times in 687 Documents Cited by Year
A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities. Zbl 1048.26010
Cordero-Erausquin, D.; Nazaret, B.; Villani, C.
168
2004
A Riemannian interpolation inequality à la Borell, Brascamp and Lieb. Zbl 1026.58018
Cordero-Erausquin, Dario; McCann, Robert J.; Schmuckenschläger, Michael
162
2001
The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems. Zbl 1073.60042
Cordero-Erausquin, D.; Fradelizi, M.; Maurey, B.
59
2004
Some applications of mass transport to Gaussian-type inequalities. Zbl 0998.60080
Cordero-Erausquin, Dario
53
2002
Monotone maps preserving periodic measures. (Sur le transport de mesures périodiques.) Zbl 0942.28015
Cordero-Erausquin, Dario
37
1999
Moment measures. Zbl 1315.32004
Cordero-Erausquin, D.; Klartag, B.
33
2015
Subadditivity of the entropy and its relation to Brascamp-Lieb type inequalities. Zbl 1231.26015
Carlen, Eric A.; Cordero-Erausquin, Dario
33
2009
Inequalities for generalized entropy and optimal transportation. Zbl 1135.49026
Cordero-Erausquin, Dario; Gangbo, Wilfrid; Houdré, Christian
33
2004
Prékopa-Leindler type inequalities on Riemannian manifolds, Jacobi fields, and optimal transport. Zbl 1125.58007
Cordero-Erausquin, Dario; McCann, Robert J.; Schmuckenschläger, Michael
32
2006
Invariances in variance estimates. Zbl 1281.60020
Barthe, F.; Cordero-Erausquin, D.
29
2013
Hypercontractive measures, Talagrand’s inequality, and influences. Zbl 1280.60018
Cordero-Erausquin, Dario; Ledoux, Michel
24
2012
Santaló’s inequality on \(\mathbb{C}^n\) by complex interpolation. Zbl 1002.31003
Cordero-Erausquin, Dario
18
2002
Correlation and Brascamp-Lieb inequalities for Markov semigroups. Zbl 1222.26025
Barthe, Franck; Cordero-Erausquin, Dario; Ledoux, Michel; Maurey, Bernard
17
2011
Inverse Brascamp-Lieb inequalities along the heat equation. Zbl 1086.26010
Barthe, F.; Cordero-Erausquin, D.
17
2004
Entropy of spherical marginals and related inequalities. Zbl 1274.62059
Barthe, F.; Cordero-Erausquin, D.; Maurey, B.
15
2006
Regularity of monotone transport maps between unbounded domains. Zbl 1448.35188
Cordero-Erausquin, Dario; Figalli, Alessio
14
2019
Transport inequalities for log-concave measures, quantitative forms and applications. Zbl 1388.60057
Cordero-Erausquin, Dario
14
2017
On Berndtsson’s generalization of Prékopa’s theorem. Zbl 1079.32020
Cordero-Erausquin, Dario
13
2005
Interpolations, convexity and geometric inequalities. Zbl 1275.35009
Cordero-Erausquin, Dario; Klartag, Bo’az
13
2012
One more proof of the Alexandrov-Fenchel inequality. (Une autre preuve de l’inégalité d’Alexandrov-Fenchel.) Zbl 1428.52013
Cordero-Erausquin, Dario; Klartag, Bo’az; Merigot, Quentin; Santambrogio, Filippo
12
2019
Volume of the polar of random sets and shadow systems. Zbl 1366.52008
Cordero-Erausquin, Dario; Fradelizi, Matthieu; Paouris, Grigoris; Pivovarov, Peter
12
2015
Asymmetric covariance estimates of Brascamp-Lieb type and related inequalities for log-concave measures. Zbl 1270.26016
Carlen, Eric A.; Cordero-Erausquin, Dario; Lieb, Elliott H.
9
2013
Prékopa-Leindler inequality on the sphere. (Inégalité de Prékopa-Leindler sur la sphère.) Zbl 0945.26026
Cordero-Erausquin, Dario
6
1999
Some extensions of the Prékopa-Leindler inequality using Borell’s stochastic approach. Zbl 1392.39015
Cordero-Erausquin, Dario; Maurey, Bernard
6
2017
The geometry of Euclidean convolution inequalities and entropy. Zbl 1196.42007
Cordero-Erausquin, Dario; Ledoux, Michel
5
2010
Complex interpolation of \(\mathbb R\)-norms, duality and foliations. Zbl 1441.46020
Berndtsson, Bo; Cordero-Erausquin, Dario; Klartag, Bo’az; Rubinstein, Yanir A.
5
2020
Complex Legendre duality. Zbl 1509.32003
Berndtsson, Bo; Cordero-Erausquin, Dario; Klartag, Bo’az; Rubinstein, Yanir A.
5
2020
Shift inequalities of Gaussian type and norms of barycentres. Zbl 0984.60024
Barthe, F.; Cordero-Erausquin, D.; Fradelizi, M.
4
2001
New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality. Zbl 1450.26006
Bolley, François; Cordero-Erausquin, Dario; Fujita, Yasuhiro; Gentil, Ivan; Guillin, Arnaud
4
2020
On matrix-valued log-concavity and related Prékopa and Brascamp-Lieb inequalities. Zbl 1414.26021
Cordero-Erausquin, Dario
4
2019
Improved log-concavity for rotationally invariant measures of symmetric convex sets. Zbl 07690053
Cordero-Erausquin, Dario; Rotem, Liran
3
2023
Transport proofs of weighted Poincaré inequalities for log-concave distributions. Zbl 1378.60044
Cordero-Erausquin, Dario; Gozlan, Nathael
3
2017
Non-smooth differential properties of optimal transport. Zbl 1141.49040
Cordero-Erausquin, Dario
3
2004
Talagrand’s influence inequality revisited. Zbl 1517.42026
Cordero-Erausquin, Dario; Eskenazis, Alexandros
2
2023
Some examples of the application of measure transport in Euclidean and Riemannian geometry. (Quelques exemples d’application du transport de mesure en géométrie Euclidienne et Riemannienne.) Zbl 1117.49037
Cordero-Erausquin, Dario
1
2004
Plurisubharmonic geodesics and interpolating sets. Zbl 1429.32021
Cordero-Erausquin, Dario; Rashkovskii, Alexander
1
2019
Several results regarding the (B)-conjecture. Zbl 1447.52011
Cordero-Erausquin, Dario; Rotem, Liran
1
2020
Improved log-concavity for rotationally invariant measures of symmetric convex sets. Zbl 07690053
Cordero-Erausquin, Dario; Rotem, Liran
3
2023
Talagrand’s influence inequality revisited. Zbl 1517.42026
Cordero-Erausquin, Dario; Eskenazis, Alexandros
2
2023
Complex interpolation of \(\mathbb R\)-norms, duality and foliations. Zbl 1441.46020
Berndtsson, Bo; Cordero-Erausquin, Dario; Klartag, Bo’az; Rubinstein, Yanir A.
5
2020
Complex Legendre duality. Zbl 1509.32003
Berndtsson, Bo; Cordero-Erausquin, Dario; Klartag, Bo’az; Rubinstein, Yanir A.
5
2020
New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality. Zbl 1450.26006
Bolley, François; Cordero-Erausquin, Dario; Fujita, Yasuhiro; Gentil, Ivan; Guillin, Arnaud
4
2020
Several results regarding the (B)-conjecture. Zbl 1447.52011
Cordero-Erausquin, Dario; Rotem, Liran
1
2020
Regularity of monotone transport maps between unbounded domains. Zbl 1448.35188
Cordero-Erausquin, Dario; Figalli, Alessio
14
2019
One more proof of the Alexandrov-Fenchel inequality. (Une autre preuve de l’inégalité d’Alexandrov-Fenchel.) Zbl 1428.52013
Cordero-Erausquin, Dario; Klartag, Bo’az; Merigot, Quentin; Santambrogio, Filippo
12
2019
On matrix-valued log-concavity and related Prékopa and Brascamp-Lieb inequalities. Zbl 1414.26021
Cordero-Erausquin, Dario
4
2019
Plurisubharmonic geodesics and interpolating sets. Zbl 1429.32021
Cordero-Erausquin, Dario; Rashkovskii, Alexander
1
2019
Transport inequalities for log-concave measures, quantitative forms and applications. Zbl 1388.60057
Cordero-Erausquin, Dario
14
2017
Some extensions of the Prékopa-Leindler inequality using Borell’s stochastic approach. Zbl 1392.39015
Cordero-Erausquin, Dario; Maurey, Bernard
6
2017
Transport proofs of weighted Poincaré inequalities for log-concave distributions. Zbl 1378.60044
Cordero-Erausquin, Dario; Gozlan, Nathael
3
2017
Moment measures. Zbl 1315.32004
Cordero-Erausquin, D.; Klartag, B.
33
2015
Volume of the polar of random sets and shadow systems. Zbl 1366.52008
Cordero-Erausquin, Dario; Fradelizi, Matthieu; Paouris, Grigoris; Pivovarov, Peter
12
2015
Invariances in variance estimates. Zbl 1281.60020
Barthe, F.; Cordero-Erausquin, D.
29
2013
Asymmetric covariance estimates of Brascamp-Lieb type and related inequalities for log-concave measures. Zbl 1270.26016
Carlen, Eric A.; Cordero-Erausquin, Dario; Lieb, Elliott H.
9
2013
Hypercontractive measures, Talagrand’s inequality, and influences. Zbl 1280.60018
Cordero-Erausquin, Dario; Ledoux, Michel
24
2012
Interpolations, convexity and geometric inequalities. Zbl 1275.35009
Cordero-Erausquin, Dario; Klartag, Bo’az
13
2012
Correlation and Brascamp-Lieb inequalities for Markov semigroups. Zbl 1222.26025
Barthe, Franck; Cordero-Erausquin, Dario; Ledoux, Michel; Maurey, Bernard
17
2011
The geometry of Euclidean convolution inequalities and entropy. Zbl 1196.42007
Cordero-Erausquin, Dario; Ledoux, Michel
5
2010
Subadditivity of the entropy and its relation to Brascamp-Lieb type inequalities. Zbl 1231.26015
Carlen, Eric A.; Cordero-Erausquin, Dario
33
2009
Prékopa-Leindler type inequalities on Riemannian manifolds, Jacobi fields, and optimal transport. Zbl 1125.58007
Cordero-Erausquin, Dario; McCann, Robert J.; Schmuckenschläger, Michael
32
2006
Entropy of spherical marginals and related inequalities. Zbl 1274.62059
Barthe, F.; Cordero-Erausquin, D.; Maurey, B.
15
2006
On Berndtsson’s generalization of Prékopa’s theorem. Zbl 1079.32020
Cordero-Erausquin, Dario
13
2005
A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities. Zbl 1048.26010
Cordero-Erausquin, D.; Nazaret, B.; Villani, C.
168
2004
The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems. Zbl 1073.60042
Cordero-Erausquin, D.; Fradelizi, M.; Maurey, B.
59
2004
Inequalities for generalized entropy and optimal transportation. Zbl 1135.49026
Cordero-Erausquin, Dario; Gangbo, Wilfrid; Houdré, Christian
33
2004
Inverse Brascamp-Lieb inequalities along the heat equation. Zbl 1086.26010
Barthe, F.; Cordero-Erausquin, D.
17
2004
Non-smooth differential properties of optimal transport. Zbl 1141.49040
Cordero-Erausquin, Dario
3
2004
Some examples of the application of measure transport in Euclidean and Riemannian geometry. (Quelques exemples d’application du transport de mesure en géométrie Euclidienne et Riemannienne.) Zbl 1117.49037
Cordero-Erausquin, Dario
1
2004
Some applications of mass transport to Gaussian-type inequalities. Zbl 0998.60080
Cordero-Erausquin, Dario
53
2002
Santaló’s inequality on \(\mathbb{C}^n\) by complex interpolation. Zbl 1002.31003
Cordero-Erausquin, Dario
18
2002
A Riemannian interpolation inequality à la Borell, Brascamp and Lieb. Zbl 1026.58018
Cordero-Erausquin, Dario; McCann, Robert J.; Schmuckenschläger, Michael
162
2001
Shift inequalities of Gaussian type and norms of barycentres. Zbl 0984.60024
Barthe, F.; Cordero-Erausquin, D.; Fradelizi, M.
4
2001
Monotone maps preserving periodic measures. (Sur le transport de mesures périodiques.) Zbl 0942.28015
Cordero-Erausquin, Dario
37
1999
Prékopa-Leindler inequality on the sphere. (Inégalité de Prékopa-Leindler sur la sphère.) Zbl 0945.26026
Cordero-Erausquin, Dario
6
1999
all top 5

Cited by 680 Authors

22 Figalli, Alessio
16 Nguyễn Văn Hoàng
14 Cordero-Erausquin, Dario
14 Klartag, Bo’az
14 Kolesnikov, Alexander V.
12 Milman, Emanuel
12 Villani, Cédric
11 Gozlan, Nathael
10 Böröczky, Karoly jun.
10 Kristály, Alexandru
10 Paouris, Grigoris
10 Sturm, Karl-Theodor
9 Balogh, Zoltán M.
9 Barthe, Franck
9 Ohta, Shin-ichi
8 Carrillo de la Plata, José Antonio
8 Fathi, Max
8 Fradelizi, Matthieu
8 Livshyts, Galyna V.
8 McCann, Robert J.
8 Rotem, Liran
8 Savaré, Giuseppe
7 Agueh, Martial
7 Dolbeault, Jean
7 Maggi, Francesco
7 Montenegro, Marcos
6 Cianchi, Andrea
6 Fang, Niufa
6 Gentil, Ivan
6 Guillin, Arnaud
6 Hug, Daniel
6 Ketterer, Christian
6 Shenfeld, Yair
6 Valettas, Petros
5 Artstein-Avidan, Shiri
5 Carlier, Guillaume
5 Cavalletti, Fabio
5 Ceccon, Jurandir
5 Delanoë, Philippe P.
5 Eskenazis, Alexandros
5 Haddad, Julián E.
5 Jiménez, Carlos Hugo
5 Kim, Soojung
5 Kim, Young-Heon
5 Ledoux, Michel
5 Loeper, Grégoire
5 Mikulincer, Dan
5 Mondino, Andrea
5 Nayar, Piotr
5 Pivovarov, Peter
5 Roberto, Cyril
5 Santambrogio, Filippo
5 Saumard, Adrien
5 Schuster, Franz E.
5 Tkocz, Tomasz
5 Zvavitch, Artem
4 Alonso-Gutiérrez, David
4 Ambrosio, Luigi
4 Bennett, Jonathan M.
4 Berndtsson, Bo
4 Carlen, Eric Anders
4 De Philippis, Guido
4 González-Sanz, Alberto
4 Lam, Nguyen
4 Lehec, Joseph
4 Li, Aijun
4 Loss, Michael
4 Marsiglietti, Arnaud
4 Roncoroni, Alberto
4 Salani, Paolo
4 Samson, Paul-Marie
4 Toscani, Giuseppe
4 Ye, Deping
4 Zugmeyer, Simon
3 Barilari, Davide
3 Berman, Robert J.
3 Bez, Neal
3 Bobkov, Sergey Germanovich
3 Bolley, François
3 Bonnefont, Michel
3 Brasco, Lorenzo
3 Brendle, Simon
3 Caputo, Pietro
3 Cattiaux, Patrick
3 Chan, Swee Hong
3 Chen, Xia
3 Colesanti, Andrea
3 del Barrio, Eustasio
3 Eldan, Ronen
3 Erbar, Matthias
3 Esteban, Maria J.
3 Fusco, Nicola
3 Ghoussoub, Nassif A.
3 Gigli, Nicola
3 Guédon, Olivier
3 Haberl, Christoph
3 Han, Bangxian
3 Huang, Qingzhong
3 Indrei, Emanuel
3 Lieb, Elliott Hershel
...and 580 more Authors
all top 5

Cited in 169 Serials

59 Journal of Functional Analysis
32 The Journal of Geometric Analysis
31 Advances in Mathematics
28 Calculus of Variations and Partial Differential Equations
18 Journal of Mathematical Analysis and Applications
17 The Annals of Probability
14 Mathematische Annalen
14 Transactions of the American Mathematical Society
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
11 Proceedings of the American Mathematical Society
11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Discrete and Continuous Dynamical Systems
9 Archive for Rational Mechanics and Analysis
9 Probability Theory and Related Fields
9 Journal of the European Mathematical Society (JEMS)
8 Bernoulli
7 Israel Journal of Mathematics
7 Inventiones Mathematicae
7 Mathematika
7 Geometric and Functional Analysis. GAFA
6 Communications in Mathematical Physics
6 Duke Mathematical Journal
6 Journal of Differential Equations
6 Journal of the London Mathematical Society. Second Series
6 Journal für die Reine und Angewandte Mathematik
6 Manuscripta Mathematica
6 Advances in Applied Mathematics
6 Potential Analysis
6 Communications in Contemporary Mathematics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Geometriae Dedicata
5 Mathematische Zeitschrift
5 Memoirs of the American Mathematical Society
5 Proceedings of the London Mathematical Society. Third Series
5 Advances in Calculus of Variations
4 The Annals of Statistics
4 Archiv der Mathematik
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 Communications in Partial Differential Equations
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 St. Petersburg Mathematical Journal
4 Journal of Convex Analysis
4 Electronic Journal of Probability
4 Advanced Nonlinear Studies
3 Communications on Pure and Applied Mathematics
3 Journal d’Analyse Mathématique
3 Journal of Mathematical Physics
3 Acta Mathematica
3 Journal of the Mathematical Society of Japan
3 Mathematische Nachrichten
3 Quarterly of Applied Mathematics
3 Revista Matemática Iberoamericana
3 Differential Geometry and its Applications
3 SIAM Journal on Mathematical Analysis
3 Stochastic Processes and their Applications
3 Bulletin of the American Mathematical Society. New Series
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Revista Matemática Complutense
3 Milan Journal of Mathematics
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Bulletin of Mathematical Sciences
3 Analysis and Geometry in Metric Spaces
2 Studia Mathematica
2 Journal of Multivariate Analysis
2 Numerische Mathematik
2 Chinese Annals of Mathematics. Series B
2 Discrete & Computational Geometry
2 Proceedings of the National Academy of Sciences of the United States of America
2 Journal of Dynamics and Differential Equations
2 Journal of Mathematical Sciences (New York)
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Annales Henri Poincaré
2 Oberwolfach Reports
2 Science China. Mathematics
2 Annales Henri Lebesgue
1 Analysis Mathematica
1 General Relativity and Gravitation
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Physica A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Reviews in Mathematical Physics
1 Theory of Probability and its Applications
1 American Journal of Mathematics
1 Anais da Academia Brasileira de Ciências
1 Annales de l’Institut Fourier
1 Annales Polonici Mathematici
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Commentarii Mathematici Helvetici
1 Fuzzy Sets and Systems
1 Publications Mathématiques
1 Journal of Approximation Theory
1 Journal of Differential Geometry
1 Michigan Mathematical Journal
...and 69 more Serials
all top 5

Cited in 51 Fields

177 Probability theory and stochastic processes (60-XX)
167 Partial differential equations (35-XX)
161 Convex and discrete geometry (52-XX)
150 Calculus of variations and optimal control; optimization (49-XX)
141 Functional analysis (46-XX)
141 Differential geometry (53-XX)
131 Real functions (26-XX)
78 Global analysis, analysis on manifolds (58-XX)
63 Measure and integration (28-XX)
31 Difference and functional equations (39-XX)
30 Operator theory (47-XX)
28 Several complex variables and analytic spaces (32-XX)
28 Information and communication theory, circuits (94-XX)
19 Statistical mechanics, structure of matter (82-XX)
17 Statistics (62-XX)
17 Operations research, mathematical programming (90-XX)
15 Dynamical systems and ergodic theory (37-XX)
14 Numerical analysis (65-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Functions of a complex variable (30-XX)
9 Abstract harmonic analysis (43-XX)
9 Fluid mechanics (76-XX)
7 Combinatorics (05-XX)
7 Integral transforms, operational calculus (44-XX)
7 Computer science (68-XX)
7 Quantum theory (81-XX)
7 Systems theory; control (93-XX)
6 Number theory (11-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Potential theory (31-XX)
6 Relativity and gravitational theory (83-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Topological groups, Lie groups (22-XX)
5 General topology (54-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Geometry (51-XX)
4 Mechanics of particles and systems (70-XX)
3 Approximations and expansions (41-XX)
3 Biology and other natural sciences (92-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
2 Special functions (33-XX)
2 Mechanics of deformable solids (74-XX)
2 Geophysics (86-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Ordinary differential equations (34-XX)
1 Integral equations (45-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Mathematics education (97-XX)

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