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math.PR2026
A remark on the majorizing measures theorem for general processes
Reese Pathak, Nikita Zhivotovskiy
We show that the lower bound in the majorizing measures theorem holds for a large class of random vectors. Specifically, suppose is a centered random vector in $\mathbf{…
math.PR2026
Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes
Reese Pathak, Nikita Zhivotovskiy
We revisit the problem of bounding the expected supremum of a canonical Gaussian process indexed by a convex set . We develop two decompositions for the Gau…