Author

M. Fradelizi

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Preprint Aug 2026

Volume and Projection Inequalities II: Determinants and $L_p$-Sums

We study inequalities for the volume of orthogonal projections and their relation to Firey $L_p$-sum, together with their determinant-power analogues, motivated by the Dembo--Cover--Thomas conjecture. For $L_p$-zonoids $K,L\subset\mathbb{R}^n$ and $u\in S^{n-1}$, we consider the inequality \[ \left( \frac{|K\oplus_p L|...

M. Fradelizi, Auttawich Manui, C. Ndiaye et al. · 1 citation

Preprint Sep 2026

Uncentered Blaschke-Santal\'o inequalities for the Gaussian measure

We study the maximizers of the generalized volume product \[ \gamma_\sigma^n(A)\,\gamma_\sigma^n(A^\circ) \] among all measurable subsets $A\subset\mathbb{R}^n$, where $A^\circ$ denotes the polar set of $A$, and where $\gamma_\sigma^n$ denotes the centered Gaussian probability measure on $\mathbb{R}^n$ with covariance...

S. Artstein-Avidan, M. Fradelizi, K. Wyczesany · 0 citations