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math.MG2026
Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position
Silouanos Brazitikos, Christos Pandis
Let be an origin-symmetric convex body and assume that its uniform probability measure is isotropic in the probabilistic normalization, namely \[ \int_K x…
math.MG2026
On Extremal Volume Projections of the Simplex and the Cube
Christos Pandis
Let and denote the regular -simplex of side length embedded in and the volume one cube in , respectively. We derive a clo…