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Commutativity in a Poincaré-Type Inequality
We study a Poincaré-type inequality for Gaussian measures restricted to origin-symmetric convex sets. The inequality arises from the second variation at $t=0$ of the function $t\longmapsto γ_Σ\left(e^{tA}K\right)$, where $Σ$ and $A$ are symmetric matrices. The relevance of this function comes from S
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