Books and Monographs
- Ledoux, M., Talagrand, M.
Probability in Banach Spaces
Ergebnisse der Mathematik. Springer (1991). Second printing (2002). Classics in Mathematics. Springer (2011) MR1102015 Zbl0748.6000
Historical Note: Why is the law of the iterated logarithm in Banach space at the origin of the development of new concentration inequalities for independent random variables (2020)
- Ledoux, M.
Isoperimetry and Gaussian Analysis
Ecole d’été de Probabilités de St-Flour 1994. Lecture Notes in Math. 1648, 165-294. Springer (1996) MR1600888 Zbl0874.60005
Appendix (2014) on Chapter 6: Regularity of Gaussian processes
Historical Note: Proofs of the Gaussian isoperimetric inequality (as of 2017)
- Ledoux, M.
The Concentration of Measure Phenomenon Introduction, References
Mathematical Surveys and Monographs 89, American Mathematical Society (2001). Second printing (2005) MR1849347 Zbl0995.60002
- Bakry, D., Ledoux, M., Saloff-Coste, L.
Markov Semigroups at Saint-Flour. Series: Probability at Saint-Flour (2012). Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1581 (1994), 1648 (1996) and 1665 (1997) MR3075390 Zbl1234.60007
- Bakry, D., Gentil, I., Ledoux, M.
Analysis and Geometry of Markov Diffusion Operators Introduction and table of content Grundlehren der mathematischen Wissenschaften, Vol. 348 Springer (2014) MR3155209 Zbl06175511
Historical Note: “More than fifteen proofs of the logarithmic Sobolev inequality” (2015)
Historical Note: Curvature-Dimension (2020)
- Bobkov, S., Ledoux, M.
One-Dimensional Empirical Measures, Order Statistics, and Kantorovich Transport Distances
Mem. Amer. Math. Soc. 261 no. 1259 (2019) MR4028181 Zbl 1454.60007