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math.PR2026
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…
math.CO2026
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.
math.CO2026
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…