Christos Pandis

collaborators

5 papers

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.MG2026

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position

Silouanos Brazitikos, Christos Pandis

Let $K \subset R^{n}$ be an origin-symmetric convex body and assume that its uniform probability measure is isotropic in the probabilistic normalization, namely \[ \int_K x…

math.CV2026

Topological Genericity and Large Linear Structures in Function Spaces

Christos Pandis

We prove that the set of integrable functions on the unit circle for which the analogue of Paley's theorem for $H^{1}$ fails is residual in $L^{1} (T)$ . Moreover, we establish a…

math.MG2026

On Extremal Volume Projections of the Simplex and the Cube

Christos Pandis

Let $I^_{n}$ and $Q_{n}$ denote the regular $n$ -simplex of side length $2$ embedded in $R^{n + 1}$ and the volume one cube in $R^{n}$ , respectively. We derive a cl…

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…