Publications
For the whole list: MathSciNet, zbMATH, Google Scholar
Selected publications
- Ledoux, M.
Isopérimétrie et inégalités de Sobolev logarithmiques gaussiennes
C. R. Acad. Sci. Paris 306, 79-82 (1988) MR0929114 Zbl0646.60006 - Ledoux, M.
Inégalités isopérimétriques en analyse et probabilités
Séminaire Bourbaki. Astérisque 216, 343-375 (1993) MR1246403 Zbl0809.60021 - Ledoux, M.
On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions
J. Funct. Anal. 105, 444-465 (1992) MR1160084 Zbl0759.60079 - Ledoux, M.
A simple analytic proof of an inequality by P. Buser
Proc. Amer. Math. Soc. 121, 951-959 (1994) MR1186991 Zbl0812.58093 - Coulhon, T., Ledoux, M.
Isopérimétrie, décroissance du noyau de la chaleur et transformations de Riesz : un contre-exemple
Ark. Mat. 32, 63-77 (1994) MR1277920 Zbl0826.53035 - Ledoux, M.
Semigroup proof of the isoperimetric inequality in Euclidean and Gauss space
Bull. Sci. math 118, 485-510 (1994) MR1309086 Zbl0841.49024 - Ledoux, M.
Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter
J. Math. Kyoto Univ. 35, 211-220 (1995) MR1346225 Zbl0836.60074 - Bakry, D., Coulhon, T., Ledoux, M., Saloff-Coste, L.
Sobolev inequalities in disguise
Indiana Univ. Math. J. 44, 1034-1074 (1995) MR1386760 Zbl0857.26006 - Ledoux, M.
L’algèbre de Lie des gradients itérés d’un générateur markovien – Développements de moyennes et entropies
Ann. Sci. Ecole Norm. Sup. 28, 435-460 (1995) MR1334608 Zbl0842.60075 - Bakry, D., Ledoux, M.
Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator
Duke Math. J. 85, 253-270 (1996) MR1412446 Zbl0870.60071 - Bakry, D., Ledoux, M.
Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator
Invent. Math. 123, 259-281 (1996) MR1374200 Zbl0855.58011 - Ledoux, M.
On Talagrand’s deviation inequalities for product measures
ESAIM Probab. Statist. 1, 63-87 (1996) MR1399224 Zbl0869.60013 - Bobkov, S., Ledoux, M.
Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution
Probab. Theory Related Fields 107, 383-400 (1997) MR1440138 Zbl0878.60014 - Bobkov, S., Ledoux, M.
On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures
J. Funct. Anal. 156, 347-365 (1998) MR1636948 - Capitaine, M., Hsu, E. P., Ledoux, M.
Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces
Electron. Comm. Probab. 2, 71-81 (1999) MR1484557 Zbl0890.60045 - Ledoux, M.
On manifolds with non-negative Ricci curvature and Sobolev inequalities
Comm. Anal. Geom. 7, 347-353 (1999) MR1685586 Zbl0953.53025 - Ledoux, M.
Concentration of measure and logarithmic Sobolev inequalities
Séminaire de Probabilités XXXIII. Lecture Notes in Math. 1709, 120-216. Springer (1999) MR1767995 Zbl0957.60016 - Del Moral, P., Ledoux, M.
Convergence of empirical processes for interacting particle systems with applications to non-linear filtering
J. Theoret. Probab. 13, 225-257 (2000) MR1744985 Zbl0954.60014 - Ledoux, M.
The geometry of Markov diffusion generators
Ann. Fac. Sci. Toulouse Math. IX, 305-366 (2000) MR1813804 Zbl0980.60097 - Bobkov, S., Ledoux, M.
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities
Geom. Funct. Anal. 10, 1028-1052 (2000) MR1800062 Zbl0969.26019 - Ledoux, M.
On the distribution of overlaps in the Sherrington-Kirkpatrick spin glass model
J. Statist. Phys. 100, 871-892 (2000) MR1798547 Zbl0959.82013 - Djadli, Z., Hebey, E., Ledoux, M.
Paneitz-type operators and applications
Duke Math. J. 104, 129-169 (2000) MR1769728 Zbl0998.58009 - Ledoux, M.
Logarithmic Sobolev inequalities for unbounded spin systems revisited
Séminaire de Probabilités XXXV. Lecture Notes in Math. 1755, 1167-194. Springer (2001) MR1837286 Zbl0979.60096 - Bobkov, S., Gentil, I., Ledoux, M.
Hypercontractivity of Hamilton-Jacobi equations
J. Math. Pures Appl. 80, 669-696 (2001) MR1846020 Zbl1038.35020 - Benaïm, M., Ledoux, M., Raimond, O.
Self-interacting diffusions
Probab. Theory Related Fields 122, 1-41 (2002) MR1883716 Zbl1042.60060 - Ledoux, M., Qian, Z., Zhang, T.
Large deviations and support theorem for diffusion processes via rough paths
Stochastic Process. Appl. 102, 265-283 (2002) MR1935127 Zbl1075.60510 - Ledoux, M.
On improved Sobolev embeddings theorems
Math. Res. Lett. 10, 659-669 (2003) MR2024723 Zbl1044.22006 - Ledoux, M.
A remark on hypercontractivity and tail inequalities for the largest eigenvalues of random matrices
Séminaire de Probabilités XXXVII. Lecture Notes in Math. 1832, 360-369. Springer (2003) MR2053053 Zbl1045.15012 - Ledoux, M.
Measure concentration, transportation cost, and functional inequalities
Instructional Conference on Combinatorial Aspects of Mathematical Analysis, Edinburgh, 25 March-5 April 2002 and Summer School on Singular Phenomena and Scaling in Mathematical Models, Bonn, 10-13 June 2003 - Ledoux, M.
Differential operators and spectral distributions of invariant ensembles form the classical orthogonal polynomials. The continuous case
Electron. J. Probab. 9, 177-208 (2004) MR2041832 Zbl1073.60037 - Ledoux, M.
Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. The discrete case
Electron. J. Probab. 10, 1116-1146 (2005) MR2164041 Zbl1110.60091 - Ledoux, M.
A (one-dimensional) free Brunn-Minkowski inequality
C. R. Acad. Sci, Paris, 340, 301-304 (2005) MR2121895 Zbl1064.60032 - Bakry, D., Ledoux, M.
A logarithm Sobolev form of the Li-Yau parabolic inequality
Rev. Mat. Iberoam. 22, 683-702 (2006) MR2294794 Zbl1116.58024 - Ledoux, M.
Deviation inequalities on largest eigenvalues
Summer School on the Connections between Probability and Geometric Functional Analysis, Jerusalem, 14-19 June 2005. Geometric Aspects of Functional Analysis, Israel Seminar 2004-2005. Lecture Notes in Math. 1910, 167-219. Springer (2007) MR2349607 Zbl1130.15012 - Cohen, S., Lacaux, C., Ledoux, M.
A general framework for simulation of fractional fields
Stochastic Process. Appl. 118, 1489-1517 (2008) MR2442368 Zbl1149.60032 - Bobkov, S., Ledoux, M.
From Brunn-Minkowski to sharp Sobolev inequalities
Ann. Mat. Pura Appl. 187, 369-384 (2008) MR2393140 Zbl1223.26036 - Ledoux, M.
Géométrie des espaces métriques mesurés : les travaux de Lott, Villani, Sturm
Séminaire Bourbaki. Astérisque 326, 257-280 (2009) MR2605325 Zbl1207.53051 - Ledoux, M.
A recursion formula for the moments of the Gaussian Orthogonal Ensemble
Ann. Inst. Henri Poincaré Probab. Stat. 45, 754-769 (2009) MR2548502 Zbl1184.60003 - Bobkov, S., Ledoux, M.
Weighted Poincaré-type inequalities for Cauchy and other convex measures
Ann. Probab. 37, 403-427 (2009) MR2510011 Zbl1178.46041 - Ledoux, M., Rider, B.
Small deviations for beta ensembles
Electron. J. Probab. 15, 1319-1343 (2010) MR2678393 Zbl1228.60015 - Barthe, F., Cordero-Erausquin, D., Ledoux, M., Maurey, B.
Correlation and Brascamp-Lieb inequalities for Markov semigroups
Int. Math. Res. Not. IMRN 10, 2177-2216 (2011) MR2806562 Zbl1222.26025 - Ledoux, M.
Chaos of a Markov operator and the fourth moment condition
Ann. Probab. 40, 2439-2459 (2012) MR3050508 Zbl1266.60042 - Cordero-Erausquin, D., Ledoux, M.
Hypercontractive measures, Talagrand’s inequality, and influences
Geometric Aspects of Functional Analysis, 169-189, Lecture Notes in Math. 2050, Springer (2012) MR2985132 Zbl1280.60018 - Ledoux, M., Popescu, I.
The one dimensional free Poincaré inequality
Trans. Amer. Math. Soc. 365, 4811-4849 (2013) MR3066771 Zbl1281.46056 - Ledoux, M.
Remarks on Gaussian noise stability, Brascamp-Lieb and Slepian inequalities Geometric Aspects of Functional Analysis, 309-333, Lecture Notes in Math. 2116, Springer (2014) MR3364694 Zbl06445139 - Ledoux, M.
Heat flows, geometric and functional inequalities
Proceedings of the International Congress of Mathematicians—Seoul 2014. Vol. IV, 117–135, Kyung Moon Sa, Seoul (2014) MR3727605 Zbl1373.35153 - Bakry, D., Gentil, I., Ledoux, M.
Harnack inequalities and optimal transportation
Ann. Sc. Norm. Super. Pisa XIV, 705-727 (2015) MR3445198 Zbl06527863 - Ledoux, M., Nourdin, I., Peccati, G.
Stein’s method, logarithmic Sobolev and transport inequalities
Geom. Funct. Anal. 25, 256-306 (2015) MR3320893 Zbl06422801 - Ledoux, M.
Sobolev-Kantorovich inequalities
Anal. Geom. Metr. Spaces 1, 157-166 (2015) MR3370349 Zbl06471065 - Ledoux, M.
γ_2 and Γ_2
in honour of D. Bakry and M. Talagrand (2015) - Ledoux, M.
Heat Flow Derivatives and Minimum Mean-Square Error in Gaussian Noise
IEEE Trans. Inform. Theory 62, 3401-3409 (2016) MR3506741 Zbl1359.94336 - Fathi, M., Indrei, E., Ledoux, M.
Quantitative logarithmic Sobolev inequalities and stability estimates
Discrete Contin. Dyn. Syst. 36, 6835-6853 (2016) MR3567822 Zbl06661531 - Ledoux, M.
On optimal matching of Gaussian samples
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 457, Veroyatnost’ i Statistika. 25, 226–264 (2017) MR3723584 Zbl07084427 - Ledoux, M.
On optimal matching of Gaussian samples II
(2018) - Ledoux, M.
A law of the iterated logarithm for directed last passage percolation
J. Theoret. Probab. 31, 2366-2375 (2018) MR3866616 Zbl1428.60049 - Ledoux, M.
Remarks on some transportation cost inequalities
(2018) - Ledoux, M.
Stein’s inequality for multivariate Gaussian
(2019) - Lambert, G., Ledoux, M., Webb, C.
Quantitative normal approximation of linear statistics of beta-ensembles
Ann. Probab. 47, 2619-2685 (2019) MR4021234 Zbl1448.60058 - Ledoux, M.
A fluctuation result in dual Sobolev norm for the optimal matching problem
(2019) - Ledoux, M.
Four Talagrand inequalities under the same umbrella
(2019) - Eldan, R., Ledoux, M.
A dimension-free reverse logarithmic Sobolev inequality for low-complexity function on Gauss space Geometric Aspects of Functional Analysis, Israel Seminar 2017-19, 263-271, Lecture Notes in Math. 2256, Springer (2020) MR4175751 Zbl07238063 - Ledoux, M., Nair, C., Wang Y. N.
Log-convexity of Fisher information along heat flow
(2020) - Ledoux, M.
Differentials of entropy and Fisher information along the heat flow: a brief review of some conjectures
(2020) - Ledoux, M.
Tail inequalities for the eigenvalues of the GUE and related models: some results and questions
(2021) - Bobkov, S., Ledoux, M.
A simple Fourier analytic proof of the AKT optimal matching theorem
Ann. Appl. Probab. 31, 2567-2584 (2021) MR4350968 Zbl07473097 - Ledoux, M., Zhu, J.-X.
On optimal matching of Gaussian samples III
Probab. Math. Statist. 41, 237-265 (2021) MR4359822 Zbl07473155 - Ledoux, M.
Optimal matching of random samples and rates of convergence of empirical measures
Mathematics going forward – collected mathematical brushstrokes, 615-627. Lecture Notes in Math. 2313, Springer (2023) MR46279879 Zbl07773786