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math.PR2026
Optimal Sparsification of Gaussian Processes
Shivam Nadimpalli
We prove an optimal dimension-free sparsification theorem for suprema of centered Gaussian processes. Given a bounded set , we show that the supremum of the…
math.PR2025
On the Maximal Gaussian Perimeter of Convex Sets, Revisited
Shivam Nadimpalli, Caleb Pascale
We revisit Nazarov's construction of a convex set with nearly maximal Gaussian surface area and give an alternate analysis based on the notion of convex influence.