Christos Pandis

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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.PR2025

Sharp inequalities for symmetric polynomials, Hunter's conjecture, and moments of exponential random variables

Silouanos Brazitikos, Christos Pandis

We prove Hunter's conjecture on complete homogeneous symmetric polynomials. For even $n$ and every integer $k \geq 1$ , we show that under the constraint $\sum_{i = 1}^{n} a_{i}^{2} = 1$ the g…