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…
On the stability of the -curvature
Mohammad N. Ivaki
It is known that the -curvature of a smooth, strictly convex body in is constant only for origin-centred balls when , and only for balls when $p=1…
Iterations of curvature images
Mohammad N. Ivaki
We study the iterations of a class of curvature image operators introduced by the author in (J. Funct. Anal. 271 (2016) 2133--2165). The fixed points of these operators are…
The second mixed projection problem and the projection centroid conjectures
Mohammad N. Ivaki
We provide partial answers to the open problems 4.5, 4.6 of \cite{Gardner} and 12.9 of \cite{Lut1} regarding the classification of fixed points of the second mixed projection opera…
A local uniqueness theorem for minimizers of Petty's conjectured projection inequality
Mohammad N. Ivaki
Employing the inverse function theorem on Banach spaces, we prove that in a -neighborhood of the unit ball, the only solutions of are origin-centered elli…