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math.PR2026
Variance lower bounds for geometric functionals of rotationally invariant log-concave random polytopes
Minas Pafis, Christos Pandis
We establish variance lower bounds for the intrinsic volumes and the face numbers of random polytopes, generated by independent samples from rotationally invariant log-concave prob…
math.PR2026
Discrete log-concavity and threshold phenomena for atomic measures
Silouanos Brazitikos, Minas Pafis
We investigate threshold phenomena for random polytopes $K_N=\conv\{X_1,\dots,X_N\}$ generated by i.i.d.\ samples from an atomic law . We identify and provide a missing justifi…