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math.FA2025
Monotonicity of the Gaussian measure under Banaszczyk transforms
Maud Szusterman
In the proof of his famous 5K-theorem, W. Banaszczyk introduced a transformation of convex bodies for which the Gaussian measure is monotone. In this note, we present a simplified…
math.FA2023★ 1 cited
Extemizers in Soprunov and Zvavitch's Bezout inequalities for mixed volumes
Maud Szusterman
In [SZ], Soprunov and Zvavitch have translated the Bezout inequalities (from Algebraic Geometry) into inequalities of mixed volumes satisfied by the simplex. They conjecture this s…
math.FA2023
A New Excluding Condition towards the Soprunov-Zvavitch conjecture on Bezout-type inequalities
Maud Szusterman
In 2015, I. Soprunov and A. Zvavitch have shown how to use the Bernstein-Khovanskii-Kushnirenko theorem to derive non-negativity of a certain bilinear form , defined on (pairs…