Center for Mathematical Sciences Lectures
Mallat Family Fund for Research in Mathematics


invites you to a
SPECIAL LECTURE SERIES
to be presented by


Abstracts 
Professor Michel Ledoux
Université de Toulouse
On
March 12^{th}, 14^{th},
15^{th}, 2012
Auditorium 232
Amado Mathematics Building 

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 semigroup 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.
Prof. Ledoux's homepage: 