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arXiv · 2403.15357

Duality and Heat flow

Dario Cordero-Erausquin·Nathael Gozlan·Shohei Nakamura·Hiroshi Tsuji
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Abstract

We reveal the relation between the Legendre transform of convex functions and heat flow evolution, and how it applies to the functional Blaschke-Santalo inequality. We also describe local maximizers in this inequality.

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Dario Cordero-Erausquin, Nathael Gozlan, Shohei Nakamura, Hiroshi Tsuji. 2024-03-22. Duality and Heat flow. https://arxiv.org/abs/2403.15357

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