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math.MG2025
Stability of simplex slicing
Serhii Myroshnychenko, Colin Tang, Kateryna Tatarko +1
We establish dimension-free stability of Webb's sharp simplex slicing (1996). Incidentally, we investigate Lipschitzness of volume of hyperplane central sections of arbitrary (not…
math.MG2024
Convexity properties of sections of 1-symmetric bodies and Rademacher sums
Joseph Kalarickal, David Rotunno, Salil Singh +1
We establish a monotonicity-type property of volume of central hyperplane sections of the 1-symmetric convex bodies, with applications to chessboard cutting. We parallel this for p…