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arXiv · 2109.01086

Stochastic reverse isoperimetric inequalities in the plane

Jesus Rebollo Bueno
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Abstract

In recent years, it has been shown that some classical inequalities follow from a local stochastic dominance for naturally associated random polytopes. We strengthen planar isoperimetric inequalities by attaching a stochastic model to some classical inequalities, such as Mahler's Theorem, and a reverse Lutwak-Zhang inequality, the polar for $L_p$ centroid bodies. In particular, we obtain the dual counterpart to a result of Bisztriczky-B\"or\"oczky.

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BibTeXRIS

Jesus Rebollo Bueno. 2021-09-02. Stochastic reverse isoperimetric inequalities in the plane. https://doi.org/10.1007/s10711-021-00656-5

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