59 citations · 70 across the 8 of their papers we have counts for
10 papers
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…
AI's solution of Conjecture 9.1
Jinyoung Park, Michel Talagrand
In an earlier paper, M. Talagrand made a number of daring conjectures. An AI model provided a very beautiful proof of one of them which we explain here.
A reformulation of the discrete Convexity Conjecture via -thresholds
Ruben Ascoli, Xiaoyu He, Jinyoung Park +1
We introduce the notion of "-thresholds'' and show that Talagrand's discrete convexity conjecture is equivalent to the assertion that, for some universal integer , the…
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…
Maharam's problem
Michel Talagrand
We construct an exhaustive submeasure that is not equivalent to a measure. This solves problems of J. von Neumann (1937) and D. Maharam (1947).