59 citations · 70 across the 8 of their papers we have counts for
5 papers · 1 filter
A very short proof of the subgaussian convex-order comparison theorem
Antoine Song, Michel Talagrand
We provide a very short proof of the following comparison theorem, which has recently played an important role: every centered subgaussian random vector is dominated in convex orde…
Guerra's interpolation using Derrida-Ruelle cascades
Dmitry Panchenko, Michel Talagrand
New results about Poisson-Dirichlet point processes and Derrida-Ruelle cascades allow us to express Guerra's interpolation entirely in the language of Derrida-Ruelle cascades and t…
On the overlap in the multiple spherical SK models
Dmitry Panchenko, Michel Talagrand
In order to study certain questions concerning the distribution of the overlap in Sherrington--Kirkpatrick type models, such as the chaos and ultrametricity problems, it seems natu…
Bounds for diluted mean-fields spin glass models
Dmitry Panchenko, Michel Talagrand
In an important recent paper, \cite{FL}, S. Franz and M. Leone prove rigorous lower bounds for the free energy of the diluted -spin model and the -sat model at any temperatur…
Concentration of Measure and Isoperimetric Inequalities in Product Spaces
Michel Talagrand
The concentration of measure prenomenon roughly states that, if a set in a product of probability spaces has measure at least one half, ``most'' of the points of ar…