59 citations · 268 across the 39 of their papers we have counts for
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Centro-affine spectral geometry of polytopes
Yingxiang Hu, Mohammad N. Ivaki
In this paper, we develop a polyhedral version of Milman's centro-affine spectral framework for full-dimensional origin-symmetric polytopes. A weighted graph Laplacian on the facet…
Weighted centro-affine Poincaré inequalities
Yingxiang Hu, Mohammad N. Ivaki
We obtain weighted centro-affine Bochner formulas on spherical caps associated with smooth strictly convex hypersurfaces. As a consequence, we prove weighted Poincaré inequalities…
Centro-affine Poincaré inequality: Unconditional convex bodies
Yingxiang Hu, Mohammad N. Ivaki
We prove that the centro-affine Poincaré inequality holds with constant for every unconditional convex body and every smooth function with natural orthogonality…
Capillary -curvature problem
Yingxiang Hu, Mohammad N. Ivaki
We prove a gradient estimate for a class of capillary curvature equations in the half-space. As an application, we prove the existence of an even, smooth, strictly convex solution…