Michel Ledoux is a world renowned specialist in numerous facets of Probability Theory and Analysis, ranging from Gaussian measures and processes, Probability in Banach Spaces, Large Deviations, Random Matrices, Statistical Mechanics, concentration of measure, phenomena in high dimension, isoperimetric and Sobolev inequalities, and the geometry of Markov semigroups and their hypercontractivity.

A Senior Member of the Institut Universitaire de France and recipient of the Servant prize of the French Academy of Sciences, Ledoux is also the author of classical books such as "Probability in Banach Spaces" with M. Talagrand and "The Concentration of Measure Phenomenon", as well as of many highly acclaimed lecture notes.

Ledoux pioneered the semi-group method for connecting between geometric isoperimetric inequalities and analytic Sobolev inequalities, when a suitable generalized Ricci curvature (nowadays a fashionable topic) is bounded from below.

Following Bakry and Emery, Ledoux also pushed forward the study of the geometry of Markov diffusion generators, which may be seen as an extension of differential geometric results for abstract semigroups, and is applicable in an infinite dimensional setting, such as in Wiener space. These tools have further been used by Ledoux to study the limiting distribution of eigenvalues of Random Matrix Ensembles, analyze various Spin Models in Statistical Mechanics and study logarithmic Sobolev inequalities (a few additional fashionable topics), to name just a few examples.